Edinburgh Mathematical Society speakers: 1883 to 2016

Below we list venues, authors of papers/talks, affiliations where known, and titles for meetings of the Edinburgh Mathematical Society from 1883, the year of the founding of the Society, to 2016.

Some of those listed were not present at the meeting and their paper was read by a member of the Society. The Society's Minutes are not always clear on whether papers are read only by title or discussed. We have included many that will have only been read by title. Also the affiliations of the speaker may not always be correct. Since some who presented papers moved around frequently, it has been impossible to always verify the particular affiliation at the time of giving the lecture.


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                                 1883   1884   1885   1886   1887   1888   1889  
1890   1891   1892   1893   1894   1895   1896   1897   1898   1899  
1900   1901   1902   1903   1904   1905   1906   1907   1908   1909  
1910   1911   1912   1913   1914   1915   1916   1917   1918   1919  
1920   1921   1922   1923   1924   1925   1926   1927   1928   1929  
1930   1931   1932   1933   1934   1935   1936   1937   1938   1939  
1940   1941   1942   1943   1944   1945   1946   1947   1948   1949  
1950   1951   1952   1953   1954   1955   1956   1957   1958   1959  
1960   1961   1962   1963   1964   1965   1966   1967   1968   1969  
1970   1971   1972   1973   1974   1975   1976   1977   1978   1979
1980   1981   1982   1983   1984   1985   1986   1987   1988   1989
1990   1991   1992   1993   1994   1995   1996   1997   1998   1999
2000   2001   2002   2003   2004   2005   2006   2007   2008   2009
2010   2011   2012   2013   2014   2015   2016   2017  

-1883

       EdinburghChrystal, G. (Edinburgh) Present Fields of Mathematical Research
EdinburghMackay, J.S. (The Academy, Edinburgh) The triangle and its six scribed circles
EdinburghMunn, D. (High School, Edinburgh) The Nine-Point Circle
Knott, C.G. (Edinburgh) An Account of Newton's 'Optics'
EdinburghMuir, T. (Glasgow High School) New proof of Professor Tait's problem of Arrangement
Muir, T. (Glasgow High School) Short notes of interest to Teachers
Fraser, A.Y. (George Watson's College, Edinburgh) The fundamental notions of the Differential Calculus
Knott, C.G. (Edinburgh) Plücker's first equation connecting the singularities of curves
EdinburghKnott, C.G. (Edinburgh) Some notes on Quaternions
Munn, D. (High School, Edinburgh) Some theorems on radical axes

1883-84

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EdinburghTait, P.G. (Edinburgh) Listing's 'Topologie'
EdinburghMackay, J.S. (The Academy, Edinburgh) The circles associated with the triangle viewed from their centres of similitude
Knott, C.G. (Edinburgh) The Rev G McArthur's construction for Euclid II. 9, 10
EdinburghChrystal, G. (Edinburgh) Mathematical models, chiefly of surfaces of the second degree
EdinburghMuir, T. (Glasgow High School) Note on a theorem connected with the area of a 2n-sided polygon
Browning, H.H. (14 Newton Place, Glasgow) Illustrations of harmonic section
EdinburghMacdonald, W.J. (Daniel Stewart's College, Edinburgh) Pascal's 'Essais pour les coniques'
Allardice, R.E. (Edinburgh) Spherical geometry
Muir, T. (Glasgow High School) Note on the condensation of a special continuant
EdinburghMacfarlane, A. (Edinburgh) On voting
EdinburghBrown, A.C. (Edinburgh) The hypothesis of Le Bel and Van't Hoff
Muir, T. (Glasgow High School) A preliminary account of an overlooked treatise on determinants, published in 1825
EdinburghPeddie, W. (Edinburgh) On the representation of the physical properties of substances by means of surfaces
Traill, D. (The Academy, Edinburgh) The theorems as far as proposition 32 of the first book of Euclid's Elements, proved from first principles
Traill, D. (The Academy, Edinburgh) Geometry from common sense
EdinburghChrystal, G. (Edinburgh) Application of the multiplication of matrices to prove a theorem in spherical geometry
Chrystal, G. (Edinburgh) On the discrimination of conics enveloped by the rays joining the corresponding points of two projective ranges
Chrystal, G. (Edinburgh) On a problem in partition of numbers

1884-85

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EdinburghMackay, J.S. (The Academy, Edinburgh) The shoemaker's knife
EdinburghAlexander, P. Failing cases of Fourier's double-integral theorem (read by Thomas Muir)
Muir, T. (Glasgow High School) Note on a function of two integral arguments
Fraser, A.Y. (George Watson's College, Edinburgh) On the number of conditions determining geometrical figures
EdinburghChrystal, G. (Edinburgh) On the problem to construct the minimum circle enclosing n given points in a plane
Muir, T. (Glasgow High School) Note on the equation connecting the mutual distances of four points in a plane
Mackay, J.S. (The Academy, Edinburgh) Geometrical notes
EdinburghTait, P.G. (Edinburgh) Note on a plane strain
Alexander, P. Boole's and other proofs of Fourier's double-integral theorem (read by Thomas Muir)
EdinburghGibson, G.A. (Glasgow) Gilbert's method of treating tangents to confocal conicoids
EdinburghSprague, T.B. (Faculty of Actuaries) Note on the evaluation of functions of the form 00
Alison, J. (Edinburgh Academy) The so-called Simson-line
EdinburghChrystal, G. (Edinburgh) On certain formulae for repeated differentiation
Chrystal, G. (Edinburgh) On a method for obtaining the differential equation to an algebraical curve
Muir, T. (Glasgow High School) Note on the integration of xm(a + b xn)pdx
Muir, T. (Glasgow High School) Historical note on the so-called Simson line
Mackay, J.S. (The Academy, Edinburgh) Mnemonics for π, 1/π, e
EdinburghTait, P.G. (Edinburgh) On the Detection of amphicheiral knots, with special reference to the mathematical processes involved
EdinburghChree, C. (King's College, Cambridge) On the form in polar co-ordinates of certain expressions occurring in elastic solids and in hydrodynamics
Dallas, R.J. (Teacher, Aberdeen) Notes on the method of orthogonal projection
Allardice, R.E. (Edinburgh) On a number of concurrent spheres
Allardice, R.E. (Edinburgh) Proposition suggested by and a generalisation of the Simson Line

1885-86

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EdinburghMackay, J.S. (The Academy, Edinburgh) The ancient methods for the duplication of the cube
Harvey, W. (Edinburgh undergraduate) Notes on Euclid I. 47: the theorem of Pythagoras
EdinburghTait, P.G. (Edinburgh) On certain integrals
Tait, P.G. (Edinburgh) On integrals occurring in the kinetic theory of gases
Peddie, W. (Edinburgh) To transform a rectangle into a square
Peddie, W. (Edinburgh) The theory of contours and its applications in physical science
EdinburghAllardice, R.E. (Edinburgh) Solution of a problem proposed by Dr Muir on algebraical symmetry
Fraser, A.Y. (George Watson's College, Edinburgh) Two mechanical integrators or planimeters
Fraser, A.Y. (George Watson's College, Edinburgh) The quadrature of curves especially by means of planimeters
EdinburghHarvey, W. (Edinburgh undergraduate) Kinematical theorems
Miller, T.H. (Borough Road Training College) A proof of Lagrange's theorem
EdinburghRainy, H. (Edinburgh undergraduate) Bifilar suspension treated by the method of contour lines
Mackay, J.S. (The Academy, Edinburgh) Abstract of one of Euler's papers
Mackay, J.S. (The Academy, Edinburgh) Note on a paper or Euler's entitled 'Solutio facilis problematum quorumdam geometricorum difficillimorum'
EdinburghMackay, J.S. (The Academy, Edinburgh) On the divisibility of certain numbers
Mackay, J.S. (The Academy, Edinburgh) An arithmetical note
Alison, J. (Edinburgh Academy) Statical proofs of some geometrical theorems
EdinburghChilders, H.C.E. (politician, Edinburgh South MP) Note on Euclid II 11, To divide a straight line in medial section
Peddie, W. (Edinburgh) The theory of contours and its applications in physical science: Second part
Chree, C. (King's College, Cambridge) Vortex rings in a compressible fluid
Chree, C. (King's College, Cambridge) On the vibrations of a spherical or cylindrical body surrounded by or containing fluid
EdinburghRobertson, A. (St Andrew Square, Edinburgh) A problem in combinations
Alison, J. (Edinburgh Academy) Trigonometrical mnemonic
Gibson, G.A. (Glasgow) Notes on integration by parts and by successive reduction

1886-87

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EdinburghMackay, J.S. (The Academy, Edinburgh) Solutions of Euclid's Problems, with a rule and one fixed aperture of the compasses, by the Italian geometers of the sixteenth century
Tucker, R. (Brighton College) On the sine-triple-angle circle
Renton, W. On the equivocal sign
EdinburghAubert, P. (Collège Stanislas, Paris) Composition de Mathématiques élémentaires proposée au concours d'Agrégation de 1886
Aubert, P. (Collège Stanislas, Paris) Solution d'une question de géométrie
Allardice, R.E. (Edinburgh) The equilateral and the equiangular polygon
EdinburghChrystal, G. (Edinburgh) On certain inverse roulette problems
EdinburghMacdonald, W.J. Proof of a geometrical theorem
Chree, C. (King's College, Cambridge) On vortices
Mackenzie, J.L. A theorem in algebra
Gibson, G.A. (Glasgow) On a definite integral
EdinburghMackay, J.S. (The Academy, Edinburgh) Historical notes on a geometrical theorem and its developments (18th century): incenter, circumcenter, triangle
Allardice, R.E. (Edinburgh) Geometrical notes: polygons, quadrilateral, harmonic conjugates
EdinburghTait, P.G. (Edinburgh) On the value of nOm/nm where m and n are very large
D'Ocagne, M. (Corps de Ponts et Chaussées, Cherbourg) Sur les cordes communes à une conique et à un cercle de rayon nul: application à la théorie géométrique des foyers dans les coniques
Dallas, R.J. Note on the kinematics of a quadrilateral
Dallas, R.J. A problem in linkages
EdinburghFraser, A.Y. (George Watson's College, Edinburgh) An experiment in the teaching of Geometry
EdinburghCayley, A. (Cambridge) On a differential equation and the construction of Milner's lamp
Tait, P.G. (Edinburgh) Note on Milner's lamp
Tait, P.G. (Edinburgh) An exercise on logarithmic tables
Harvey, W. Geometrical proof of the tangency of the inscribed and nine-point circles

1887-88

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EdinburghThom, G. (Dollar Institution) Mathematics in Secondary Schools and Universities
EdinburghAllardice, R.E. (Edinburgh) A method of transformation in geometry
EdinburghAllardice, R.E. (Edinburgh) On Stirling's approximation to n! when n is large
Fraser, A.Y. (George Watson's College, Edinburgh) A device for the analysis of intervals and chords in music
EdinburghChrystal, G. (Edinburgh) On the inequality mxm-1(x-1) < xm-1 < m(x-1) and its consequences
Peddie, W. (Edinburgh) A model of the thermodynamic surface which represents the state of water substance in terms of pressure, volume, and temperature
EdinburghAubert, P. (Collège Stanislas, Paris) Sur un systéme de cercles tangents à une circonférence et orthogonaux à une autre circonférence
Aubert, P. (Collège Stanislas, Paris) On the circle which is tangential to one circle and orthogonal to another
Wilson, J. (Edinburgh) The nine-point circle
EdinburghGibson, G.A. (Glasgow) Extension of a theorem of Abel's in summation to integration
Allardice, R.E. (Edinburgh) On the inscription of a triangle of given shape in a given triangle
Mackay, J.S. (The Academy, Edinburgh) Pappus on the progressions
Mackay, J.S. (The Academy, Edinburgh) Treatment of the progressions by the ancients as it had been preserved by Pappus
EdinburghChree, C. (King's College, Cambridge) Vortex rings in a compressible fluid
Mackay, J.S. (The Academy, Edinburgh) Similitude and inversion
EdinburghAllardice, R.E. (Edinburgh) A construction for the Brocard points

1888-89

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EdinburghTait, P.G. (Edinburgh) On the relations between systems of curves which, together, cut their plane into squares
Steggall, J.E.A. (University College, Dundee) The value of cos 2π/17 expressed in quadratic radicals
Gibson, G.A. (Glasgow) A short notice of the additions to the mathematical theory of heat since the transmission of Fourier's memoir of 1811 to the French Academy
EdinburghMunn, D. (High School, Edinburgh) On the general equation of the second degree representing a pair of straight lines
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves
EdinburghAllardice, R.E. (Edinburgh) Note on a formula in Quaternions
Butters, J.W. (George Heriot's School, Edinburgh) On the solution of the equation xp - 1 = 0, p being a prime number
EdinburghNiven, C. (Aberdeen) On a proposition in statics
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Second part of four
Steggall, J.E.A. (University College, Dundee) Amsler's planimeter
EdinburghMillar, W.J. On the most economical speed to drive a steamer in relation to the cargo carried and coals consumed
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Third part of four
EdinburghChree, C. (Kew Observatory) On vortex motion in a rotating fluid
Allardice, R.E. (Edinburgh) On the expression of a symmetric function in terms of the elementary symmetric functions
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Fourth part of four
EdinburghMackay, J.S. (The Academy, Edinburgh) Solutions of two geometrical problems
EdinburghAubert, P. (Collège Stanislas, Paris) Sur une propriété projective des sections coniques
Steggall, J.E.A. (University College, Dundee) Note on the regular solids
Steggall, J.E.A. (University College, Dundee) A certain cubic connected with the triangle

1889-90

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EdinburghGibson, G.A. (Glasgow) Green's and allied theorems: a historical sketch
EdinburghSteggall, J.E.A. (University College, Dundee) A special case of the three-bar motion
Allardice, R.E. (Edinburgh) On some theorems in the theory of numbers
Pinkerton, R.H (Glasgow) Note on normals to conics
EdinburghTait, P.G. (Edinburgh) Note on a curious operational theorem
Allardice, R.E. (Edinburgh) On a property of odd and even polygons
Allardice, R.E. (Edinburgh) On some properties of the quadrilateral
EdinburghThomson, W. (Glasgow) On the moduluses of elasticity of an elastic solid according to Boscovich's theory
EdinburghSprague, T.B. (Faculty of Actuaries) On the different possible non-linear arrangements of eight men on a chess-board
Chree, C. (Kew Observatory) On the equations of vortex motion, with special reference to the use of polar co-ordinates
Allardice, R.E. (Edinburgh) On a problem in permutations
EdinburghElliot, A.C. (Glasgow) On a hydromechanical theorem
Elliot, A.C. (Glasgow) On Rankine's formula for earth pressure
EdinburghDougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On a certain expression for a spherical harmonic, with some extensions
Morrison, J.A. (Heriot-Watt College, Edinburgh) A method of teaching Electrostatics in school
EdinburghCayley, A. (Cambridge) Note on the orthomorphic transformation of a circle into itself
Allardice, R.E. (Edinburgh) Note on Menelaus's theorem
Mackay, J.S. (The Academy, Edinburgh) Historical notes on a geometrical problem and theorem: triangle, quadrilateral

1890-91

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EdinburghMackay, J.S. (The Academy, Edinburgh) Some new properties of the triangle
Peddie, W. (Edinburgh) Proofs of some optical theorems
EdinburghPressland, A.J. (Edinburgh Academy) The triangle and its escribed parabolas
Allardice, R.E. (Edinburgh) Some geometrical theorems
Pinkerton, R.H (Glasgow) On the condition that the straight line lx + my + nz = 0 should be a normal to the conic (a, b, c, f, g, h)(x, y, z)2 = 0 the co-ordinates being trilinear
EdinburghMcCowan, J. (University College, Dundee) On the heating of conductors by electric currents, and the electric distribution in conductors so heated
Dickson, J.D.H. (Peterhouse College, Cambridge) The solution of the equation √{(x - a) (x - b)} + √{(x - c) (x - d) } = e
EdinburghMiller, T.H. (Borough Road Training College) A problem in the theory of numbers
Aubert, P. (Collège Stanislas, Paris) Sur un lieu géomérique
Aubert, P. (Collège Stanislas, Paris) On a geometrical locus
Pressland, A.J. (Edinburgh Academy) The triangle and its escribed parabolas
EdinburghPeddie, W. (Edinburgh) On the use of dimensional equations in physics
Pressland, A.J. (Edinburgh Academy) Some relations between the orthic and the median triangles
EdinburghAllardice, R.E. (Edinburgh) On some properties of a triangle of given shape inscribed in a given triangle
EdinburghGibson, G.A. (Glasgow) The pedal line of a triangle and theorems connected with it
Anglin, A.H. (Queen's College, Cork) On some applications of the pedal line of a triangle
EdinburghMcCowan, J. (University College, Dundee) On a representation of elliptic integrals by curvilinear arcs
Sprague, T.B. (Faculty of Actuaries) On the transformation and classification of permutations
Miller, T.H. (Borough Road Training College) On the numerical values of the roots of the equation cos x = x
Mackay, J.S. (The Academy, Edinburgh) The Wallace line and the Wallace point
Pressland, A.J. (Edinburgh Academy) Note on an equation of motion

1891-92

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EdinburghAllardice, R.E. (Edinburgh) The barycentric calculus of Möbius
EdinburghSteggall, J.E.A. (University College, Dundee) Note on an approximate fractional expression for the expansion of (1 + x)n to any odd number of terms
Pressland, A.J. (Edinburgh Academy) On the history and degree of certain geometrical approximations, (Part 1 of 2)
EdinburghSteggall, J.E.A. (University College, Dundee) On the smallest number of entries necessary in a table of logarithms to seven decimal spaces
Allardice, R.E. (Edinburgh) On the contact property of the eleven-point conic
Peddie, W. (Edinburgh) Deduction of the thermodynamical relations
EdinburghSteggall, J.E.A. (University College, Dundee) On lines of magnetic force
EdinburghTweedie, C. (Edinburgh) On the relation between the stereographic projections of points of a plane related to one another by inversion
Knott, C.G. (Edinburgh) Experimental introduction to the study of magnetism
EdinburghPressland, A.J. (Edinburgh Academy) On the history and degree of certain geometrical approximations, (Part 2 of 2)
Allardice, R.E. (Edinburgh) On a surface of the third order
EdinburghMcCowan, J. (University College, Dundee) On the solution of non-linear partial differential equations of the second order
Anderson, R.E. On triads of circles connected with the triangle
EdinburghGibson, G.A. (Glasgow) Integrals of the form ∫ log {(x - a cos t)2+ (y - b sin t)2} cos(or sin) mt dt (integrated from 0 to 2π) and allied integrals
Mackay, J.S. (The Academy, Edinburgh) Matthew Stewart's theorem
Steggall, J.E.A. (University College, Dundee) On a property of a quadrilateral

1892-93

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EdinburghMcCowan, J. (University College, Dundee) Note on the solution of partial differential equations by the method of reciprocation
EdinburghAnglin, A.H. (Queen's College, Cork) On certain results involving areal and trilinear co-ordinates
Mackay, J.S. (The Academy, Edinburgh) History of the nine-point circle
Tucker, R. (Brighton College) Geometrical notes: circle, triangle
Tweedie, C. (Edinburgh) Note of Newton's theorem of symmetric functions
EdinburghKnott, C.G. (Edinburgh) The Quaternion and its depreciators: Recent quaternion heresies
Pressland, A.J. (Edinburgh Academy) On some loci connected with conics
EdinburghTait, P.G. (Edinburgh) Note on attraction
Peddie, W. (Edinburgh) On the fundamental principles of Quaternions with other vector analyses
Steggall, J.E.A. (University College, Dundee) On a geometrical problem
EdinburghMackay, J.S. (The Academy, Edinburgh) Early history of the symmedian point
Mackay, J.S. (The Academy, Edinburgh) Adams's hexagons and circles
Peddie, W. (Edinburgh) The elements of Quaternions, (Part 1 of 2)
EdinburghChree, C. (Kew Observatory) Action at a distance and the transmission of stress by isotropic elastic solid media
Peddie, W. (Edinburgh) The elements of Quaternions, (Part 2 of 2)
Pressland, A.J. (Edinburgh Academy) Note on a problem in analytical geometry: triangles, parallelograms, diagonals
EdinburghGibson, G.A. (Glasgow) On the history of the Fourier series
EdinburghKnott, C.G. (Edinburgh) Japanese arithmetic

1893-94

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EdinburghMackay, J.S. (The Academy, Edinburgh) The geometrography of Euclid's problems
Tucker, R. (Brighton College) Two circular notes
Peddie, W. (Edinburgh) An arithmetical problem
EdinburghSteggall, J.E.A. (University College, Dundee) Note on the number of numbers less than a given number and prime to it: Note on an Elementary Proposition in the Theory of Numbers
Steggall, J.E.A. (University College, Dundee) Geographical models
McCowan, J. (University College, Dundee) On ridge lines and lines connected with them
EdinburghDuthie, G. (The Academy, Edinburgh) On certain maxima and minima
Butters, J.W. (George Heriot's School, Edinburgh) Notes on factoring
EdinburghSprague, T.B. (Faculty of Actuaries) On the geometrical interpretation of ii
Gibson, G.A. (Glasgow) A proof of the uniform convergence of the Fourier series, with notes on the differentiation of the series
Tucker, R. (Brighton College) Geometrical notes
EdinburghAubert, P. (Collège Stanislas, Paris) Tangential Coordinates
Tucker, R. (Brighton College) Two triplets of circum-hyperbolas
EdinburghWallace, W. (Higher Grade School, Leeds) Note on a third mode of section of the straight line
Tucker, R. (Brighton College) Three parabolas connected with a plane triangle
Steggall, J.E.A. (University College, Dundee) The pedal triangle
Mackay, J.S. (The Academy, Edinburgh) Formulae connected with the radii of the incircle and the excircles of a triangle
EdinburghBrown, A.C. (Edinburgh) On the division of a parallelepiped into tetrahedra without making new corners
Jackson, F.H. (School House, Cowbridge) On two differential equations
EdinburghMcCowan, J. (University College, Dundee) On the highest wave of permanent type
Crawford, G.E. (Clifton, Bristol) On a problem on tangency: intersecting chords of a circle, inscribed circle
Tweedie, C. (Edinburgh) On the solution of the Cubic and Quartic
Muirhead, R.F. (Glasgow) E. Carpenter's proof of Taylor's theorem
Tucker, R. (Brighton College) Notes on an orthocentric triangle

1894-95

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EdinburghLemoine, E. (Grenoble ) Étude sur le triangle, et sur certains points de Géométrographie
McCowan, J. (University College, Dundee) On the solitary permanent wave: a continuation
Davis, R.F. (Amateur mathematician) The nine-point circle
Davis, R.F. (Amateur mathematician) The Brocard points and the Brocard angle
EdinburghCrawford, G.E. (Clifton, Bristol ) Geometrical problem
Tucker, R. (Brighton College) Parabolic note: co-normal points
Peddie, W. (Edinburgh) Colour-sensation and colour-blindness with experiments
EdinburghMackay, J.S. (The Academy, Edinburgh) Properties connected with the angular bisectors of a triangle: Some new circles connected with the triangle
Davis, R.F. (Amateur mathematician) Properties connected with the angular bisectors of a triangle
Muirhead, R.F. (Glasgow) Note on triangle transformations
EdinburghJackson, F.H. (School House, Cowbridge) Theorems in the products of related quantities, (Part 1 of 2)
Pinkerton, R.H. (University College, Cardiff) On the conditions that a given straight line may be a normal to the quadric surface (a, b, c, d, f, g, h, u, v, w)(x, y, z, l)2 = 0
Muirhead, R.F. (Glasgow) Note on triangle transformations
Jack, J. (Wilson College, Bombay) Examples of a method of developing logarithms and the trigonometrical functions without the Calculus, by means of their addition formulae and indeterminate coefficients
EdinburghTweedie, C. (Edinburgh) Some formulae in connection with the parabolic section of the canonical quadric
Muirhead, R.F. (Glasgow) Some suggestions in mathematical terminology
Macdonald, W.J. (Daniel Stewart's College, Edinburgh) A suggestion for the improvement of mathematical tables
Duthie, G. (The Academy, Edinburgh) Proposal with regard to British tables of linear and square measure: On a necessary reform in arithmetic
EdinburghMcCowan, J. (University College, Dundee) On the operation of division
Bioche, C. On Equilateral Gauche Cubics
Anderson, R.E. Isoperimetric 2m n-gons applied to finding 1/π concisely by a new construction: On the ratio of the circumference of a circle to its diameter
Crawford, L. (Mason College, Birmingham) On the use of the hyperbolic sine and cosine in connection with the hyperbola
EdinburghMuirhead, R.F. (Glasgow) Proof of a theorem in conics
Jackson, F.H. (School House, Cowbridge) Theorems in the products of related quantities, (Part 2 of 2)
Mackay, J.S. (The Academy, Edinburgh) Isogonals of a triangle
EdinburghChrystal, G. (Edinburgh) A Summary of the theory of a coaxial system of lenses for small apertures, according to Möbius and Gauss, with applications to a photographic triplet
Davis, R.F. (Amateur mathematician) On a Diophantine equation

1895-96

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EdinburghMorgan, A. (Church of Scotland Training College, Edinburgh) Address on celestial photography
EdinburghTait, P.G. (Edinburgh) Note on the circles of curvature of a plane curve
Gibson, G.A. (Glasgow) A reduction formula for indefinite integrals
Gibson, G.A. (Glasgow) Some properties of parabolic curves
Jack, J. (Wilson College, Bombay) On the development of the elliptic functions by means of their addition theorems
EdinburghMackay, J.S. (The Academy, Edinburgh) Symmedians of a triangle and their concomitant circles
Jackson, F.H. (School House, Cowbridge) A certain linear differential equation
Muirhead, R.F. (Glasgow) On superposition by the aid of dissection
EdinburghSteggall, J.E.A. (University College, Dundee) Note on a certain harmonical progression
Steggall, J.E.A. (University College, Dundee) Note on continued fractions
Martin, A. A simple method of finding any number of square numbers whose sum is a square
EdinburghHöppner, J.D. Note on four-dimensional figures
EdinburghSteggall, J.E.A. (University College, Dundee) Note on the formula for tan(A+B)
Steggall, J.E.A. (University College, Dundee) On the pedal lines of polygons
Muirhead, R.F. (Glasgow) On deducing the properties of the trigonometrical functions from their addition equations
Muirhead, R.F. (Glasgow) On the number and nature of the solutions of the Apollonian contact problem
EdinburghGibson, G.A. (Glasgow) Review (with special reference to the Rise of the Infinitesimal Calculus and the Newton-Leibnitz controversy) of Cantor's 'Vorlesungen über Geschichte der Mathematik, Dritter Band'

1896-97

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EdinburghAnderson, R.E. Extension of the 'medial section' problem, and derivation of a hyperbolic graph
EdinburghAnglin, A.H. (Queen's College, Cork) Theorems on normals of an ellipse
Anglin, A.H. (Queen's College, Cork) On the geometrical investigation of the circular functions of 3θ and 5θ
Aiyar, R.V. (Trichinopoly, India) A general theorem on the nine-points circle
Morgan, A. (Church of Scotland Training College, Edinburgh) On the geometrical representation of elliptic integrals of the first kind, (Part 1 of 2)
EdinburghMorgan, A. (Church of Scotland Training College, Edinburgh) On the geometrical representation of elliptic integrals of the first kind, (Part 2 of 2)
Carslaw, H.S. (Glasgow) The steady motion of a spherical vortex
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Proof of the theorem that the middle points of the three diagonals of a complete quadrilateral are collinear
EdinburghClark, J.B. (George Heriot's School, Edinburgh) On a proof of the fundamental combination theorem
Alison, J. (Edinburgh Academy) Maximum and minimum
Butters, J.W. (George Heriot's School, Edinburgh) A geometrical proof of certain trigonometrical formulae (the addition theorem, etc.)
EdinburghJackson F.H. (School House, Cowbridge) Certain expansions of xn in hypergeometric series
Jack, J. (Wilson College, Bombay) The factorisation of 1 - 2 xn cos α + x2n
Edinburgh Muirhead, R.F. (Glasgow) A geometrical theorem with application to the proof of the collinearity of the mid-points of the diagonals of the complete quadrilateral
Tucker, R. (Brighton College) Geometrical note
EdinburghMuirhead, R.F. (Glasgow) On a method of studying displacement
Mackay, J.S. (The Academy, Edinburgh) Isogonic centres of a triangle

1897-98

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EdinburghGibson, G.A. (Glasgow) The treatment of arithmetic progressions by Archimedes
Lémeray, M.E. Le quatrième algorithme naturel
EdinburghDougall, J. (Glasgow and West of Scotland Technical College, Glasgow) A general method of solving the equation of elasticity
Jack, J. (Wilson College, Bombay) Trigonometrical notes
Carslaw, H.S. (Glasgow) Note on the transformations of the equations of hydrodynamics
EdinburghCrawford, L. (Mason College, Birmingham) The trisection of a given angle
Crawford, G.E. (Clifton, Bristol) The centre of gravity of a circular arc
EdinburghGuimaraes, R. (Portugese military) On a geometrical problem
Gibson, G.A. (Glasgow and Daniel Stewart's College, Edinburgh) Discussion on Euclid's definition of Proportion: Proposal that in the teaching of elementary geometry, Euclid's definition of proportion be abandoned
EdinburghSchoute, P.H. (Groningen) Extension of the notion of wave-surface to space of n dimensions
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Note on the centre of gravity of a circular arc
EdinburghCrawford, L. (Mason College, Birmingham) On the second solutions of Lamé's equation
Mitchell, H. (Dundee) The singular solutions of a certain differential equation of the second order
EdinburghMuirhead, R.F. (Glasgow) Permutations: alternative proofs of elementary formulae
Muirhead, R.F. (Glasgow) On the transformation-sequence
Butters, J.W. (George Heriot's School, Edinburgh) Elementary notes: 1) On the factorisation of a function of n variables, and 2) On the use of the term 'produced'

1898-99

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EdinburghThird, J.A. (Aberdeen) Systems of circles analogous to Tucker circles, (Part 1 of 3)
Thomson, W.L. (George Heriot's School, Edinburgh) Geometrical theory of the hyperbolic functions
EdinburghThird, J.A. (Aberdeen) Systems of circles analogous to Tucker circles, (Part 2 of 3)
Gibson, G.A. (Glasgow) 'Vorlesungen über Geschichte der Mathematik', von Moritz Cantor. A review: with special reference to the Analyst controversy
EdinburghTweedie, C. (Edinburgh) Elementary notes: inequality theorem, exponential limit
Muirhead, R.F. (Glasgow) Against Euler's proof of the binomial theorem for negative and fractional exponents
Muirhead, R.F. (Glasgow) Note on continued fractions
Muirhead, R.F. (Glasgow) A proof of the binomial theorem when the exponent is a positive integer
EdinburghSprague, T.B. (Faculty of Actuaries) On the eight-queens' problem
EdinburghTait, P.G. (Edinburgh) Note on attraction
EdinburghGibson, G.A. (Glasgow) A discussion on the treatment of proportion in elementary mathematics
EdinburghThird, J.A. (Aberdeen) Systems of circles analogous to Tucker circles, (Part 3 of 3)
Third, J.A. (Aberdeen) Systems of conics connected with the triangle
Third, J.A. (Aberdeen) Systems of spheres connected with the tetrahedron

1899-00

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EdinburghCrawford, G.E. (Clifton, Bristol) Elementary proof that the arithmetic mean of any number of positive quantities is greater than the geometric mean
Muirhead, R.F. (Glasgow) The dissection of any two triangles into mutually similar pairs of triangles
Third, J.A. (Aberdeen) Two geometrical transformations
EdinburghCrawford, L. (Mason College, Birmingham) On the evaluation of a certain determinant
Russell, A.D. (High School, Falkirk) A special case of the dissection of any two triangles into mutually similar pairs of triangles
Peddie, W. (Edinburgh) Elementary proof of the potential theorems regarding uniform spherical shells
EdinburghPeddie, W. (Edinburgh) On the dissipation of energy in vibrating matter
EdinburghMuirhead, R.F. (Glasgow) Remark on Dr Peddie's proof of the potential theorems regarding uniform spherical shells
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On Bessel functions and spherical harmonics
GlasgowDougall, J. (Glasgow and West of Scotland Technical College, Glasgow) The determination of Green's function by means of cylindrical or spherical harmonics
EdinburghGibson, G.A. (Glasgow) Note on the fundamental inequality theorems connected with ex and xm
Collignon, É. (Ponts et chaussées) Note sur un problème de Géométrie
EdinburghPhilip, W.E. (H.M.I.S., Aberdeen) A general proof of the addition theorems in Trigonometry
Philip, W.E. (H.M.I.S., Aberdeen) A slight extension of Euler's theorem on homogeneous functions
Gibson, G.A. (Glasgow) Note on proofs by projection in Trigonometry and Coordinate Geometry
Laisant, C.A. (École Polytechnique) Problème de la section de raison

1900-01

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EdinburghDavis, R.F. (Amateur mathematician) Euclidean proof of Pascal's theorem
Tweedie, C. (Edinburgh) Note on the expression for the area of a triangle in Cartesian co-ordinates, and a general proof of the addition theorem in Trigonometry connected therewith
Jack, J. (Wilson College, Bombay) Alternative proof of a theorem in change of axes
EdinburghAllardice, R.E. (Edinburgh) Note on four circles touching a common circle
Third, J.A. (Aberdeen) Triangles triply in perspective
EdinburghAllardice, R.E. (Edinburgh) On the nine-point conic
Mair, D.B. The nth root of a prime number cannot be the root of an equation of degree less than n with rational coefficients
EdinburghPeddie, W. (Edinburgh) Note on the cooling of a sphere in a mass of well-stirred liquid
Muirhead, R.F. (Glasgow) Inequalities relating to some algebraic means
EdinburghChrystal, G. (Edinburgh) Some elementary theorems regarding surds
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Note on the application of complex integration to the equation of conduction of heat, with special reference to Dr Peddie's problem
GlasgowCrawford, L. (Mason College, Birmingham) The general equation of a geodesic on a surface of revolution applied to the sphere
Allardice, R.E. (Edinburgh) On a cubic curve connected with the triangle
Davis, R.F. (Amateur mathematician) A note on the focal relations of a bicircular quartic
Carslaw, H.S. (Glasgow) On the summation of a certain series
EdinburghGibson, G.A. (Glasgow) An extension of Abel's theorem on the continuity of a power series
Carslaw, H.S. (Glasgow) Oblique incidence of a train of plane waves on a semi-infinite plane

1901-02

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EdinburghGibson, G.A. (Glasgow) The second integral theorem of mean value: a geometrical proof
Burgess, A.G. (Ladies' College, Edinburgh) Theorems in connection with lines drawn through a pair of points parallel and antiparallel to the sides of a triangle
Miller, J.N. On an instrument for trisecting any angle
EdinburghMuirhead, R.F. (Glasgow) Note on the theory of the rolling of one rigid surface on another
Crawford, L. (Mason College, Birmingham) A proof of Rodrigues' theorem and some expansions derived from it
Blichfeldt, H.F. (Stanford, USA) Demonstrations of a pair of theorems in geometry
Mackay, J.S. (The Academy, Edinburgh) History of a theorem in elementary geometry: the isosceles triangle
EdinburghCarslaw, H.S. (Glasgow) Note on the use of Fourier's series in the problem of the transverse vibrations of strings
Carslaw, H.S. (Glasgow) On a theorem in inequalities
Crawford, L. (Mason College, Birmingham) Note on a property of circulating decimals with an even number of repeating figures equivalent to a vulgar fraction with a prime number as denominator
EdinburghCarslaw, H.S. (Glasgow) A discussion on the teaching of elementary mathematics.
GlasgowDiscussion on the improvements in the teaching of elementary mathematics.
EdinburghMackay, J.S. (The Academy, Edinburgh) Note on the theorems of Menelaus and Ceva
Butters, J.W. (George Heriot's School, Edinburgh) Notes on decimal coinage and approximation
Allardice, R.E. (Edinburgh) On some systems of conics connected with the triangle
Muir, T. (Glasgow High School) The applicability of the law of extensible minors to determinants of special form
EdinburghMuirhead, R.F. (Glasgow) Notes on the theorems of Menelaus and Ceva
Muirhead, R.F. (Glasgow) Constructions connected with Euclid VI. 3 and VI. A, and the circle of Apollonius
Tweedie, C. (Edinburgh) Anallagmatic curves, part 1: equations and inversions
Peddie, W. (Edinburgh) A construction for the force, at any point, due to electric point-charges or ideal magnets, with an extension to continuous distributions

1902-03

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EdinburghCarslaw, H.S. (Glasgow) The use of Green's functions in the mathematical theory of the conduction of heat
Jackson, F.H. (School House, Cowbridge) On a generalization of Bessel's equation
EdinburghPeddie, W. (Edinburgh) On the uniqueness of solution of the linear differential equation of the second order
Davis, R.F. (Amateur mathematician) Note on two intrinsically related plane curves
Mackay, J.S. (The Academy, Edinburgh) Mathematical correspondence: Robert Simson, Matthew Stewart, James Stirling
EdinburghSmith, J.H. (deceased, former Gonville and Caius College, Cambridge) and Dickson, J.D.H. (Peterhouse College, Cambridge) On the decimalization of English money, and some simplifications in long division
Butters, J.W. (George Heriot's School, Edinburgh) On the decimalization of money
Burgess, A.G. (Ladies' College, Edinburgh) Note on the antireciprocal points
Sprague, T.B. (Faculty of Actuaries) On the singular points of plane curves
EdinburghThird, J.A. (Aberdeen) Triangles in multiple perspective, viewed in connection with determinants of the third order
Taylor, J. (The Academy, Edinburgh) Note on mental division by large numbers
Poole, H. A mechanical construction for the quartic trisectrix
GlasgowMiller, T.H. (Borough Road Training College) On the imaginary roots of the equation cos x = x
Muirhead, R.F. (Glasgow) Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters
Davis, R.F. (Amateur mathematician) On the equation to a conic circumscribing a triangle
Muirhead, R.F. (Glasgow) Construction connected with the locus of a point at which two segments of a straight line subtend equal angles
Jackson, F.H. (School House, Cowbridge) Generalised forms of the series of Bessel and Legendre
EdinburghHolm, A. (Girls' High School, Glasgow) On the convergents to a recurring continued fraction
Davis, R.F. (Amateur mathematician) Elementary proof that the mid-points of the three diagonals of any quadrilateral are collinear
EdinburghLindsay, W.A. (Free Church Training College, Glasgow) A discussion on 'the co-ordination of the teaching of practical and theoretical geometry'

1903-04

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EdinburghCollignon, É. (Ponts et chaussées) Remarques sur l'intégration des fonctions αncos α dα, αnsin α dα
Gibson, G.A. (Glasgow) Note on M. Collignon's paper on the integration of αncos α dα and αnsin α dα
Thomson, W.L. (George Heriot's School, Edinburgh) A note on a theorem in double series
EdinburghJackson, F.H. (School House, Cowbridge) On some algebraic identities
Jackson, F.H. (School House, Cowbridge) On a form of Maclaurin's theorem
Davis, R.F. (Amateur mathematician) On the quadrilateral circuminscribed to two circles
EdinburghTweedie, C. (Edinburgh) Inequality theorem regarding the lines joining corresponding vertices of two equilateral, or directly similar, triangles, (Part 1 of 2)
Picken, D.K. (Victoria College, Wellington, New Zealand) On the fractional infinite series for cosec x, sec x, cot x and tan x
Picken, D.K. (Victoria College, Wellington, New Zealand) Note on the method of finding the particular integral of the differential equation f (D) y = akxk
EdinburghTweedie, C. (Edinburgh) Inequality theorem regarding the lines joining corresponding vertices of two equilateral, or directly similar, triangles, (Part 2 of 2)
Jackson, F.H. (School House, Cowbridge) A basic-sine and cosine, with symbolical solutions of certain differential equations
GlasgowButters, J.W. (George Heriot's School, Edinburgh) On the use of symmetry in geometry
Holm, A. (Girls' High School, Glasgow) Some points in Diophantine analysis
Wedderburn, J.H.M. (Leipzig) Note on the linear matrix equation
EdinburghGibson, G.A. (Glasgow) Note on the treatment of tangents in recent text-books of elementary geometry
Muirhead, R.F. (Glasgow) Minimum deviation through a prism
Muirhead, R.F. (Glasgow) On the use of the term power in geometry, and on the treatment of the 'doubtful sign'
Muirhead, R.F. (Glasgow) Solution of a geometrical problem
Jackson, F.H. (School House, Cowbridge) Certain series of generalised Bessel-functions
EdinburghPinkerton, P. (George Watson's College, Edinburgh) The turning of values of a cubic and the nature of the roots of a cubic equation
Tweedie, C. (Edinburgh) Note on Newton's theorem of symmetric functions
Pinkerton, P. (George Watson's College, Edinburgh) Note on the problem: To draw through a given point a transversal to (a) a given triangle (b) a given quadrilateral so that the intercepted segments may have (a) a given ratio (b) a given cross ratio

1904-05

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EdinburghCollignon, É. (Ponts et chaussées) Recherches sur l'enveloppe des pédales des divers point d'une circonférence par rapport á un triangle inscrit
Muir, T. (Glasgow High School) The condensation of continuants
EdinburghPinkerton, P. (George Watson's College, Edinburgh) The turning values of cubic and quartic functions and the nature of the roots of cubic and quartic equations
Picken, D.K. (Victoria College, Wellington, New Zealand) The proof by projection of the addition theorem in trigonometry
Collignon, É. (Ponts et chaussées) Two geometrical notes: Démonstration de deux théorèmes de géométrie
EdinburghLindsay, W.A. (Free Church Training College, Glasgow) A proof of the theorem that the arithmetic mean of n positive quantities is not less than their harmonic mean
Valentine, G.D. (Advocate, Edinburgh) Two theorems on the factors of 2p - 1
Ross, E.B. (Christian College, Madras, India) Contact between a curve and its envelope
EdinburghMiller, J.N. A method of dividing the circumference of a circle into 360 equal parts
Bromwich, T.J.l'A. (Cambridge) The ambiguous cases in the solution of spherical triangles
Taylor, D.G. (Cardiff) Polar loci
GlasgowBurgess, A.G. (Ladies' College, Edinburgh) On the orthoptic locus of the semi-cubical parabola
Holm, A. (Girls' High School, Glasgow) Determination of the radii of the circles which touch three given circles
Muirhead, R.F. (Glasgow) Some proofs of Newton's theorem on sums of powers of roots
Muirhead, R.F. (Glasgow) A proof of Waring's expression for αr in terms of the coefficients of an equation
EdinburghMackay, J.S. (The Academy, Edinburgh) Bibliography of the envelope of the Wallace line: the three-cusped hypocycloid
Aiyar, R.V. (Trichinopoly, India) Notes on inequalities
McIntyre, J.H.A. On mathematical instruments and the accuracy to be obtained with them in some elementary practical problems
EdinburghPicken, D.K. (Victoria College, Wellington, New Zealand) A direct method of obtaining the foci and directrices from the general equation of the second degree
Davis, R.F. (Amateur mathematician) Note on the determination of the axes of a conic
Brown, A. (South African College, Cape Town) The ratio of incommensurables in elementary geometries

1905-06

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EdinburghSommerville, D.M.Y. (St Andrews) On the number of independent conditions involved in the vanishing of a rectangular array
Jackson, F.H. (School House, Cowbridge) Certain series of basic Bessel co-efficients
McBride, J.A. (Allan Glen's School, Glasgow) A trigonometric dial: a teaching appliance
EdinburghTweedie, C. (Edinburgh) A problem of Lewis Carroll's, and the rational solutions of a Diophantine cubic
Collignon, É. (Ponts et chaussées) Solution of the cubic equation
Turner, J. (Royal High School, Edinburgh) On the teaching of geometry
EdinburghPicken, D.K. (Victoria College, Wellington, New Zealand) On the reduction of (Lx + M)/[(Ax2 + 2Bx + C)m √(ax2 + 2bx + c)] dx
Crawford, G.E. (Clifton, Bristol) The determination of the centre of gravity of a circular arc by reference to a principal of dynamics
Pinkerton, P. (George Watson's College, Edinburgh) On a nine-point conic
Pinkerton, P. (George Watson's College, Edinburgh) The parabolic path of a projectile
EdinburghJack, J. (Wilson College, Bombay) On the Pascal hexagram
Wedderburn, J.H.M. (Edinburgh) On Newton's theorem in the calculus of variations
Fraser, W.G. (School Teacher, Stirling) On the relations of certain conics to a triangle
GlasgowPeddie, W. (Edinburgh) The conditions for the reality of the roots of an n-ic
Muirhead, R.F. (Glasgow) Proofs of an inequality
Miller, J. (West of Scotland Technical College, Glasgow) Note on tortuous curves
Arneil, L. (Provincial Training College, Glasgow) On a simple theodolite suitable for use in schools
EdinburghJack, J. (Wilson College, Bombay) A proof that the middle points of parallel chords of a conic lie on a fixed straight line
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on the Apollonian problem and the allied theory
EdinburghDougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Quantitative proofs of certain algebraical inequalities
Ross, E.B. (Christian College, Madras, India) A symbolical method in geometrical optics
Burgess, A.G. (Ladies' College, Edinburgh) Theorems connected with Simson's line

1906-07

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EdinburghWedderburn, J.H.M. (Edinburgh) Note on hypercomplex numbers
Collignon, É. (Ponts et chaussées) Various questions relative to the triangle
EdinburghGibson, G.A. (Glasgow) De la Vallée Poussin's extension of Poisson's integral
Davis, R.F. (Amateur mathematician) A problem in conics
Pinkerton, P. (George Watson's College, Edinburgh) Points at infinity, etc. , in a plane
EdinburghMiller, J. (West of Scotland Technical College, Glasgow) On the cartesian co-ordinates of classes of tortuous curves
Aiyar, R.V. (Trichinopoly, India) On the arithmetic and geometric means inequality
Finlayson, W. (lived in Edinburgh) Coaxial circles and conics
EdinburghPicken, D.K. (Victoria College, Wellington, New Zealand) Note on the envelope-investigation
Aiyar, R.V. (Trichinopoly, India) On the 'e' inequality
McIntosh, D.C. (Ladies' College, Edinburgh) On the teaching to beginners of such transformations as -(-a) = +a
GlasgowWedderburn, J.H.M. (Edinburgh) On commutative matrices
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On Vandermonde's theorem and some more general expansions
Pinkerton, P. (George Watson's College, Edinburgh) On area-theory and some applications
EdinburghSommerville, D.M.Y. (St Andrews) On certain projective configurations in space of n dimensions, and a related problem in arrangements
Leggett, C.M.K. (lived in London) On a problem in rigid dynamics
Collignon, É. (Ponts et chaussées) Pythagoras's theorem
EdinburghMackay, J.S. (The Academy, Edinburgh) Herbert Spencer and mathematics
Muirhead, R.F. (Glasgow) Elementary methods for calculating first and second moments of simple configurations
Davis, R.F. (Amateur mathematician) On arithmetical approximations

1907-08

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EdinburghJack, J. (Wilson College, Bombay) Poles and polars of a conic
Collignon, É. (Ponts et chaussées) Problem in plane geometry
Davis, R.F. (Amateur mathematician) A first evaluation of π
EdinburghGreenhill, A.G. (Royal Military Academy, Woolwich) The dygogram of axle reaction of a pendulum
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on Spherical Harmonics
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on the Apollonian problem and the allied theory
EdinburghAnglin, A.H. (Queen's College, Cork) On the lengths of a pair of tangents to a conic
Dixon, A.C. (Queen's College, Belfast) On the lines which intersect three given lines in space
Dixon, A.C. (Queen's College, Belfast) Proof that every rational algebraic equation has a root
Finlayson, W. (lived in Edinburgh) Theorem regarding orthogonal conics
EdinburghMcLeod, C. (Grammar School, Aberdeen) A discussion on 'The place of graphs in a course of mathematics'
GlasgowMiller, J. (West of Scotland Technical College, Glasgow) On the geometry of the conic and the triangle
Muirhead, R.F. (Glasgow) To express a determinant of the nth order in terms of compound determinants of the second order, and vice versa
Muirhead, R.F. (Glasgow) A graphic method of solving n simultaneous linear equations involving n unknowns
McBride, J.A. (Allan Glen's School, Glasgow) School apparatus for determining g
EdinburghTweedie, C. (Edinburgh) Examples in the geometry of cross ratios
Naraniengar, M.T. (Central College, Bangalore) The intrinsic properties of curves
Thomson, J.G. (lived in Edinburgh) Geometrical extraction of cube root
EdinburghNaraniengar, M.T. (Central College, Bangalore) On contact of curves
Sanjana, K.J. (Bhaonagar, Bombay) On factors of numbers of the form {x2n+1k ± 1} /{xk ± 1}
Miller, T.H. (Training College, Isleworth) A problem in the theory of numbers

1908-09

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EdinburghFinlayson, W. (lived in Edinburgh) A certain relation between coaxial circles and conics
Greenhill, A.G. (Royal Military Academy, Woolwich) The revolving chain
EdinburghWedderburn, J.H.M. (Edinburgh) On certain theorems in determinants
Collignon, É. (Ponts et chaussées) Problem in plane geometry
EdinburghDougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On the Tucker circles of a spherical triangle
Miller, W. (lived in Glasgow) A simple theodolite: A teaching appliance
Muir, T. (Glasgow High School) Waring's expression for a symmetric function in terms of like powers
EdinburghAllardice, R.E. (Edinburgh) On the locus of a foci of a system of similar conics through three points
Miller, J. (West of Scotland Technical College, Glasgow) Note on the geometry of the triangle
GlasgowEdwardes, F.E. (Harrow School) On the stationary eccentricity of a system of conics through four given points
Holm, A. (Girls' High School, Glasgow) Theorems on the summation of series
Thompson, H.F. (The Academy, Edinburgh) A geometrical proof of a theorem connected with the tetrahedron
EdinburghBrown, A.C. (Edinburgh) Polygons and polyhedra of higher species: Relation between the distances of a point from three vertices of a regular polygon
EdinburghBrown, A. (South African College, Cape Town) The relation between the distances of a point from three vertices of a regular polygon
Thomson, J.G. (lived in Edinburgh) Geometrical construction for the approximate evaluation of π/4

1909-10

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EdinburghMuirhead, R.F. (Glasgow) On Wilkinson's method of treating the nine-points circle, with generalizations
Muirhead, R.F. (Glasgow) The anharmonic ratios of four points in a straight line
Edwardes, F.E. (Harrow School) On the stationary eccentricity of a system of four-tangent conics
EdinburghStokes, G.D.C. (Glasgow) On the integration of the canonic equations and the principle of duality
Carslaw, H.S. (Sydney, Australia) Gauss's theorem on the regular polygons which can be constructed by Euclid's method
Naraniengar, M.T. (Central College, Bangalore) Notes on the three-cusped hypocycloid
EdinburghSanjana, K.J. (Bhaonagar, Bombay) On series for calculating Euler's constant and the constant in Stirling's theorem
Sommerville, D.M.Y. (St Andrews) A problem in voting
Sommerville, D.M.Y. (St Andrews) Classification of geometries with projective metric
EdinburghNaraniengar, M.T. (Central College, Bangalore) The locus of points at which two sides of a given triangle subtend equal or supplementary angles
Craig, J.I. (Survey Department, Cairo, Egypt) Orthogonal trajectories in vectorial co-ordinates
GlasgowArchibald, R.C. (Brown University, Providence, Rhode Island, USA) Historical note on Wallace's line
Carslaw, H.S. (Sydney, Australia) The Bolyai-Lobatschewsky non-Euclidean geometry: an elementary interpretation of this geometry and some results which follow from this interpretation
Bell, R.J.T. (Glasgow) The locus of the straight lines which intersect three given lines
Bell, R.J.T. (Glasgow) The factors of (abcfgh)(xyz)2 - λ(x2 + y2 + z2)
EdinburghCrawford, G.E. (Clifton, Bristol) Properties of quadrilaterals and five-point space figures
Sommerville, D.M.Y. (St Andrews) Note on the geometries in which straight lines are represented by circles
EdinburghArchibald, R.C. (Brown University, Providence, Rhode Island, USA) Discussion and history of certain geometrical problems of Heraclitus and Apollonius
McLeod, C. (Grammar School, Aberdeen) and Milne, W.P. (Clifton College, Bristol) Triangles triply in perspective

1910-11

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EdinburghThomson, J.G. (lived in Edinburgh) The relation between the golden section of the radius and the quinquesection of the circle
Pressland, A.J. (The Academy, Edinburgh) The recent reform of teaching of mathematics and science in Germany
EdinburghMilne, W.P. (Clifton College, Bristol) A property of the harmonic triangle of the complete quadrangle formed by the four points of contact of the four tangents to the cubic curve from a point on it
Valentine, G.D. (Advocate, Edinburgh) A root of the cubic equation expressed as a continued fraction
Valentine, G.D. (Advocate, Edinburgh) A method of investigating the geometry of families of curves, with examples
EdinburghAllardice, R.E. (Edinburgh) On the envelope of the directrices of a system of similar conics through three points
Dixon, A.C. (Queen's College, Belfast) Approximation by means of convergent fractions
EdinburghMilne, W.P. (Clifton College, Bristol) The focal circles of circular cubics
Sanjana, K.J. (Bhaonagar, Bombay) Note on Professor Allardice's paper "On the locus of the foci of a system of similar conics through three points"
Martin, A. (amateur American mathematician) Algebraic solution to the three-point problem
GlasgowEdwardes, F.E. (Harrow School) (i) A proof of Dupin's theorem, (ii) Two methods of obtaining Cayley's condition that a family of surfaces may form one of an orthogonal triad, (iii) An extension of Dupin's theorem
Donaldson, J.A. Fermat's theorem deduced from theory of circulating radix fractions
EdinburghPinkerton, P. (George Watson's College, Edinburgh) The scope of elementary geometry
EdinburghMiller, J. (West of Scotland Technical College, Glasgow) On a class of surfaces
Muirhead, R.F. (Glasgow) A method for successive graphic interpretations
Taylor, D.G. (University College, Cardiff) End-to-end focal chords in an ellipse
Milne, W.P. (Clifton College, Bristol) The focal and bi-tangent properties of bi-circular quartics

1911-12

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EdinburghMilne, W.P. (Clifton College, Bristol) The system of cubic curves circumscribing two triangles and apolar to them
Milne, W.P. (Clifton College, Bristol) An easy geometric representation of the sextic covariant of a binary quartic
Miller, T.H. (Training College, Isleworth) On the numerical calculation of natural logarithms
EdinburghPeddie, W. (University College, Dundee) The mechanical solution of an n-ic, and exhibition of a model for the determination of the roots of a cubic
Sommerville, D.M.Y. (St Andrews) Einstein's principle of relativity in its kinematical aspect
Sommerville, D.M.Y. (St Andrews) Note on Legendre's and Bertrand's proof of the parallel postulate by infinite areas
EdinburghDonaldson, J.A. An infinite series of triangles and conics with a common pole and polar
Edwardes, F.E. (Harrow School) The condition that the family of surfaces φ(x, y, z, λ) = 0 may be one of an orthogonal triad
Davis, R.F. (Amateur mathematician) Graphical trisection of circular arc
EdinburghGoldziher, C. (Budapest, Hungary) On graphical integration
Muirhead, R.F. (Glasgow) A mechanism for solving equations for the nth degree
Philip, G. (George Watson's College, Edinburgh) The geometry of the general pedal curve
Gentle, W. (George Heriot's School, Edinburgh) An extension of the remainder theorem
GlasgowStokes, G.D.C. (Glasgow) An analytical study of plane rolling mechanisms
Tweedie, C. (Edinburgh) The fundamental formula for the area of a triangle in analytical geometry
Horsburgh, E.M. (Edinburgh) Proof of a fundamental relation in the theory of bending between the bending moment and load curves, or between the deflection and bending moment curves
Levy, H. (Göttingen) An extension of Clairaut's differential equation
EdinburghMilne, W.P. (Clifton College, Bristol) Further investigations of circular cubics and bi-circular quartics
Texeira, F.G. (Porto) Note on the researches of Maclaurin on circular cubics
Piaggio, H.T.H. (Nottingham) Note on linear differential equations with constant coefficients
EdinburghGibson, G.A. (Glasgow) On graphical work in school teaching
EdinburghCarslaw, H.S. (Sydney, Australia) A problem in the linear flow of heat discussed from the point of view of the theory of integral equations
Taylor, D.G. (University College, Cardiff) Linear substitutions and their invariants
Brash, W. (Edinburgh undergraduate) Two general theorems in the differential calculus

1912-13

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EdinburghCarslaw, H.S. (Sydney, Australia) Integral equations and the determination of Green's functions in the theory of potential
Edwardes, F.E. (Harrow School) On the expansion of (1 + z2/2! + z3/3! + ...)-n in positive integral powers of z, when n is a large positive integer
Swaminarayan, J.C. (Gujerat College, Ahmedabad, India) A determinantal proof of Ptolemy's theorem
EdinburghBell, R.J.T. (Glasgow) A method of finding i) the double points of a unicursal curve and ii) unicursal quartics with three given double points
Stokes, G.D.C. (Glasgow) Integration of the x-u differential equation in the problem of two bodies
Taylor, F.G. (University College, Nottingham) The point "O" and two associated cubics
EdinburghDavis, R.F. (Amateur mathematician) On a certain algebraical elimination
Swaminarayan, J.C. (Gujerat College, Ahmedabad, India) Osculating conic at any point of a given plane curve
Levy, H. (Göttingen) Diametrical curves, and mean point loci of systems of curves and surfaces
EdinburghPhilip, G. (George Watson's College, Edinburgh) A problem of Robert Simson's
Donaldson, J.A. On the summation of 1r + 2r + 3r + ... + nr
Swaminarayan, J.C. (Gujerat College, Ahmedabad, India) Generalized form of Clairaut's equation
GlasgowRobertson, D. Some optical constructions (i) A geometrical construction for the rainbow formula, (ii) Geometrical constructions for refraction and reflection in a prism
Third, J.A. (Aberdeen) Geometrical constructions for refraction and reflection in a prism
Muirhead, R.F. (Glasgow) Notes on mathematical induction
EdinburghMilne, W.P. (Clifton College, Bristol) A system of nonagons nonuply in perspective
Taylor, D.G. (University College, Cardiff) On a certain class of linear substitutions of order four
EdinburghWhittaker, E.T. (Edinburgh) Changes in university mathematics during the last twenty years
EdinburghFinlayson, W. (lived in Edinburgh) The "O" circle of the co-axial triad through the vertices of a triangle, and the "O" locus for a cyclic quadrangle
Horsburgh, E.M. (Edinburgh) A simple linkage for describing equal areas
Horsburgh, E.M. (Edinburgh) Model of a well-known deformable triangular linkage
Horsburgh, E.M. (Edinburgh) Graphical harmonic analysis

1913-14

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EdinburghBasset, A.B. (Amateur mathematician) On a class of singularities discussed by Dr Sprague
Taylor, F.G. (University College, Nottingham) and Marr, W.L. (High School for Girls, Aberdeen) The six trisectors of each of the angles of a triangle
EdinburghDougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on spherical harmonics
Gibson, G.A. (Glasgow) Napier's Logarithms
Humbert, P. (Edinburgh) On some results concerning integral equations
EdinburghBell, R.J.T. (Glasgow) Note on the axes of a normal section of the enveloping cylinder of a conicoid
Milne, A. (Provincial Training College, Edinburgh) On the equation of the parabolic cylinder functions
Whittaker, E.T. (Edinburgh) On the continued fractions which represent the functions of Hermite and other functions defined by differential equations
EdinburghBurgess, A.G. (Ladies' College, Edinburgh) Concurrency of lines joining vertices of a triangle to opposite vertices of triangles on its sides
Sommerville, D.M.Y. (St Andrews) Note on Gauss's proof of the reciprocity of parallelism
Young, A.W. (St Andrews) On the quasi-periodic solutions of Mathieu's differential equation
GlasgowMuirhead, R.F. (Glasgow) Some graphical methods for determining centres of gravity
Muirhead, R.F. (Glasgow) Theorems analogous to Newton's theorems on symmetric functions: with elementary proofs
Taylor, D.G. (University College, Cardiff) On certain formulae connected with the function (cos nα - cos nθ)/(cos α- cos θ)
Picken, D.K. (Victoria College, Wellington, New Zealand) On summable series and Bernoullian numbers
EdinburghTaylor, F.G. (University College, Nottingham) The relation of Morley's theorem to the Hessian axis and circumcentre
Marr, W.L. (High School for Girls, Aberdeen) Morley's trisection theorem: an extension and its relation to the circles of Apollonius
Picken, D.K. (Victoria College, Wellington, New Zealand) On Simson's line and related theory: an exercise in geometric generality
Ince, E.L. (Edinburgh) On certain theorems on continued fractions equivalent to Riemann's and other transformations of the P-function
EdinburghGray, A. (Glasgow) On the attractions of spherical and ellipsoidal shells
Whittaker, E.T. (Edinburgh) On the general solution of Mathieu's equation
Philip, G. (George Watson's College, Edinburgh) Napier's 'De Arte Logistica'

1914-15

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EdinburghWatson, G.N. (University College, London) The convergence of the series in Mathieu's functions, {Communicated by Professor Whittaker}
Sommerville, D.M.Y. (St Andrews) Taylor's cubics associated with a triangle in non-Euclidean geometry
Ince, E.L. (Edinburgh) The elliptic cylinder functions of the second kind
EdinburghThompson, A.W.H. (Trinity College, Cambridge) The geometry of space, {Communicated by Thomas M MacRobert}
Whittaker, E.T. (Edinburgh) On a class of differential equations whose solutions satisfy integral equations
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) A theorem on the contact of circles leading up to the theorems of Feuerbach and Hart
EdinburghBriggs, H. Vector errors
Thompson, A.W.H. (Trinity College, Cambridge) Solid Geometry, {Communicated by Thomas M MacRobert}
Whittaker, E.T. (Edinburgh) On an integral-equation whose solutions are the Legendre polynomials
Milne, W.P. (Clifton College, Bristol) Easy proof of von Staudt's theorem, {Communcated by Peter Comrie}
EdinburghBryan, G.H. (University College, Bangor) Note on suspension bridge catenaries, {Communicated by Ellice Martin Horsburgh}
Humbert, P. (Edinburgh) On a class of integral equations, {Communicated by Professor Whittaker}
Milne, A. (Provincial Training College, Edinburgh) On the roots of the confluent hypergeometric functions
Knott, C.G. (Edinburgh) Quaternion proof of the theorem of moments in rigid dynamics
Blades, E. (George Watson's Ladies' College, Edinburgh) On spheroidal harmonics
GlasgowThompson, A.W.H. (Trinity College, Cambridge) Solid geometry
Stokes, G.D.C. (Glasgow) A simple link apparatus for the mechanical solution of quadratic equations
Tavani, F. New formulae about the theory of the series of alternate sign, {Communicated by A S Morrison}
EdinburghFord, L.R. (Edinburgh) On the roots of a derivative of a rational function
Tweedie, C. (Edinburgh) Studies of the life and writings of Colin Maclaurin, {Communicated by David Gibb}
Flint, H.T. Recurrence formulae for the functions which represent solutions of the differential equation d2u/dx2 - α2u = p(p+1)u/x2, {Communicated by Archibald Milne}
Whittaker, E.T. (Edinburgh) Exhibition of two simple nomograms
EdinburghJeffery, G.B. (University College, London) On spheroidal harmonics and allied functions, {Communicated by Edward Blades}
Burgess, A.G. (Ladies' College, Edinburgh) Determinants connected with the periodic solutions of Mathieu's equation
Ford, L.R. (Edinburgh) On the oscillating functions derived from a discontinuous function
Marr, W.L. (High School for Girls, Aberdeen) The angle between two lines in trilinears

1915-16

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EdinburghStrang, J.A. The solution of difference equations by continued fractions, {Communicated by Archibald Milne}
Steggall, J.E.A. (University College, Dundee) A suggested measure of relationship
Steggall, J.E.A. (University College, Dundee) The solution of difference equations by continued fractions
Crawford, G.E. (Clifton, Bristol) Notes on a triangle, {Communicated by T A Brown}
Press, E. (Bank of Abyssinia, Addis Ababa, Abyssinia) An easy geometrical proof of a theorem of Chasles, {Communicated by J Mackenzie}
EdinburghTaylor, D.G. (University College, Cardiff) Real linear substitutions with equimodular multipliers, and their expression in terms of their invariants, {Communicated by Thomas M MacRobert}
Brodetsky, S. (Bristol) On the linear differential equation of the second order, {Communicated by H Levy}
Brown, T.A. (postgraduate student, Edinburgh) Fourier's integral
EdinburghDatta, H. (postgraduate student, Edinburgh) On the theory of continued fractions
Milne, A. (Provincial Training College, Edinburgh) The conformal representation of the quotient of two Bessel functions
EdinburghInce, E.L. (Edinburgh) On the continued fractions associated with the hypergeometric equation, {Communicated by Glenny Smeal}
Milne, A. (Provincial Training College, Edinburgh) Note on the Peano-Baker method of solving linear differential equations
Gibb, D. (Librarian, Edinburgh) On integral relations connected with the hypergeometric function
Horsburgh, E.M. (Edinburgh) A simple form of integrometer
GlasgowTinto, J.F. On the three-dimensional transformations founded on the twisted cubic and its chord systems
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Elliptic cylindrical harmonics: The solution of Mathieu's differential equation
EdinburghBrodetsky, S. (Bristol) The linear differential equation of the second order, {Communicated by Ellice Martin Horsburgh}
Sommerville, D.M.Y. (St Andrews) A new nomogram for the cubic equation, {Communicated by Professor Whittaker}
Philip, G. (George Watson's College, Edinburgh) On a group of parabolas associated with the triangle
Taylor, F.G. (University College, Nottingham) Birationally related cubics, {Communicated by Alexander George Burgess}
EdinburghWhittaker, E.T. (Edinburgh) On the solution of Riccati's equation by continued fractions
Datta, H. (postgraduate student, Edinburgh) On symmetric determinants and Pfaffians
Milne, W.P. (Clifton College, Bristol) The Hessian-polars of n-dimensional cubics, {Communicated by Peter Ramsay}
Milne, W.P. (Clifton College, Bristol) Determinantal systems of points, {Communicated by Peter Ramsay}
Taylor, F.G. (University College, Nottingham) An involution pencil of whole-plane birationally related cubics, {Communicated by Alexander George Burgess}

1916-17

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EdinburghWhittaker, E.T. (Edinburgh) Some theorems on determinants
Datta, H. (postgraduate student, Edinburgh) On the theory of continued fractions: second paper
EdinburghFord, L.R. (Edinburgh) On a class of continued fractions
Whittaker, E.T. (Edinburgh) On certain determinants of Cayley and Sylvester
Horsburgh, E.M. (Edinburgh) An addition to the slide-rule
EdinburghMilne, W.P. (Clifton College, Bristol) The apolar locus of two tetrads of points, {Communicated by Peter Ramsay}
Ford, L.R. (Edinburgh) A method of solving algebraic equations
EdinburghMilne, W.P. (Clifton College, Bristol) The co-apolars of a cubic curve, {Communicated by Archibald Milne}
Brodetsky, S. (Bristol) On the general linear differential equation, {Communicated by Ellice Martin Horsburgh}
EdinburghJeffery, G.B. (University College, London) Transformations of axes for Whittaker's solution of Laplace's equation, {Communicated by Edward Blades}
Datta, H. (postgraduate student, Edinburgh) On the failure of Heilermann's theorem
EdinburghFord, L.R. (Edinburgh) A geometrical proof of a theorem by Hurwitz and Borel
Taylor, D.G. (University College, Cardiff) Geometrical illustrations of cyclant substitutions, {Communicated by Alexander George Burgess}
EdinburghWhittaker, E.T. (Edinburgh) On the latent roots of compound determinants and Brill's determinants
Marr, W.L. (High School for Girls, Aberdeen) A closed system of triangles apolar to a given triangle, and derivative systems, {Communicated by Peter Ramsay}
Tinto, J.F. On a group of transformations connected with the 27 lines of the cubic surface, {Communicated by Peter Ramsay}
Tinto, J.F. On the plane representation of a certain class of homaloidal surfaces, {Communicated by Peter Ramsay}
Young, A.W. On the computation of a Lagrangian interpolation, {Communicated by Professor Whittaker}
Ford, L.R. (Edinburgh) The effect of a rise in prices on the amount of small money used

1917-18

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EdinburghMilne, W.P. (Clifton College, Bristol) The apolar locus of two tetrads of points on a conic, {Communicated by Archibald Milne}
Brown, F.G.W. (West Ham Municipal Technical Institute) The Brocard and Tucker circles of a cyclic quadrilateral, {Communicated by Eleanor Pairman}
EdinburghTweedie, C. (Edinburgh) Nicole's contribution to the foundations of the calculus of finite differences, {Communicated by Ellice Martin Horsburgh}
Whittaker, E.T. (Edinburgh) An asymptotic representation of the exponential function: On Poisson's integral-equation
EdinburghPairman, E. (Edinburgh) On a difference equation due to Stirling
Whittaker, E.T. (Edinburgh) On Bernoulli's and Fürstenau's methods for the solution of equations
Horsburgh, E.M. (Edinburgh) An approximate formula for the length of an arc of a suspended rope
EdinburghSmeal, G. (Edinburgh) The parameter method of iteration
Pairman, E. (Edinburgh) A new form of the remainder in Newton's interpolation formula
EdinburghKnott, C.G. (Edinburgh) Note on the Quaternion theory of confocals
Muirhead, R.F. (Glasgow) Geometrical notes on the accelerations of points of a rigid plane body moving in its own plane, {Communicated by Ellice Martin Horsburgh}
EdinburghSommerville, D.M.Y. (St Andrews) Some applications of spherical geometry to geometrical optics, {Communicated by Edmund Taylor Whittaker}
Sommerville, D.M.Y. (St Andrews) Note on the minimum duration of twilight, {Communicated by Edmund Taylor Whittaker}
Miller, T.H. (Training College, Isleworth) Note on the radical axis of intersecting circles, {Communicated by Peter Ramsay}
Muirhead, R.F. (Glasgow) Rolling loads: a new graphical method, {Communicated by Ellice Martin Horsburgh}
EdinburghPairman, E. (Edinburgh) Relations connected with the generalised differentiation
Whittaker, E.T. (Edinburgh) Some new expansions in series of polynomials: A formula for the solution of algebraic or transcendental equations

1918-19

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EdinburghSteggall, J.E.A. (University College, Dundee) Notes on the homographic transformation of the cubic and biquadratic
EdinburghTweedie, C. (Edinburgh) The Stirling numbers and polynomials, {Communicated by Archibald Milne}
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) A theorem of Sonine in Bessel functions, with two extensions to spherical harmonics
Bowman, F. (College of Science and Technology, Manchester) Note on the complete Jacobian elliptic integral
EdinburghHorsburgh, E.M. (Edinburgh) A mechanical solution of a differential equation of torsion
Bowman, F. (College of Science and Technology, Manchester) Note on the intersection of a plane curve and its Hessian at a multiple point, {Communicated by Peter Ramsay}
Bowman, F. (College of Science and Technology, Manchester) Note on the formula for the radius of the circumsphere of a tetrahedron in terms of edges, {Communicated by Peter Ramsay}
EdinburghTinto, J.F. On the stereometric generation of the de Jonquières transformation
EdinburghWhittaker, E.T. (Edinburgh) Some disputed questions of probability
Knott, C.G. (Edinburgh) Systems of rays in quaternion symbolism
EdinburghMetzler, W.H. (Syracuse University, New York) Theorems connected with the differentiation of a circulant, {Communicated by Glenny Smeal}
MacRobert, T.M. (Glasgow) Relations between the integrals of the hypergeometric equation
EdinburghMarr, W.L. (High School for Girls, Aberdeen) Determinantal systems of apolar triads in the twisted cubic
Marr, W.L. (High School for Girls, Aberdeen) The co-symmedian system of tetrahedra inscribed in a sphere
Sommerville, D.M.Y. (St Andrews) Approximations to the length of an arc, {Communicated by Ellice Martin Horsburgh}
Taylor, D.G. (University College, Cardiff) A new approximate formula for the complete elliptic integrals K(k), E(k)

1919-20

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EdinburghWhittaker, E.T. (Edinburgh) A new basis for graduation
Richmond, H.W. (King's College, Cambridge) A geometrical proof of Professor Morley's extension of Feuerbach's theorem, {Communicated by Peter Ramsay}
GlasgowGibson, G.A. (Glasgow) A proof of the binomial theorem, with some applications
Muirhead, R.F. (Glasgow) Extension of Frenet's formulae to a curve in flat space of n dimensions
Muirhead, R.F. (Glasgow) A version of Hagen's proof of the law of error
EdinburghMcArthur, N. (Glasgow) Note on the polynomials which satisfy the differential equation x(d2y/dx2) + (γ - x)dy/dx - αy = 0
Horsburgh, E.M. (Edinburgh) The slip surface and failure of metal in tension
Davis, R.F. (Amateur mathematician) Geometrical note on the orthopole, {Communicated by Glenny Smeal}
EdinburghMacRobert, T.M. (Glasgow) The modified Bessel function K(z)
Horsburgh, E.M. (Edinburgh) A radiant transparent scale for use with an abacus
Barclay, W.A. Nomograms for financial formulae
EdinburghTweedie, C. (Edinburgh) The life of James Stirling, the Jacobite Mathematician, with exhibition of autograph letters by N. Bernoulli, Clairaut, Cramer, Euler, Maclaurin and Stirling
Mitchell, J. On the arrangement of signs of the terms in a certain double series given by Arndt, {Communicated by W S Catto}
EdinburghWhittaker, E.T. (Edinburgh) Some developments in curve-fitting and the calculus of differences
Knott, C.G. (Edinburgh) Robert Hooke on molecular interplay
EdinburghSmeal, G. (Edinburgh) On direct and inverse interpolation by divided differences

1920-21

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EdinburghThomson, W.L. (George Heriot's School, Edinburgh) On inverse probability
Moon, F.W. A problem in engineering geology, {Communicated by William L Thomson}
GlasgowStokes, G.D.C. (Glasgow) An analytical treatment of the cam problem
Taylor, D.G. (University College, Cardiff) Multiply perspective polygons inscribed in a plane cubic curve, {Communicated by Neil McArthur}
Brown, T.A. Converse of the Le Roy Lindelof theorem
EdinburghHumbert, P. (Faculty of Science, Montpellier) Some extensions of Pincherle's polynomials, {Communicated by Professor Whittaker}
MacRobert, T.M. (Glasgow) Asymptotic expansions for the Bessel functions, and the Fourier-Bessel expansions
Todd, H. (Bristol) On the average value of a variant magnitude, {Communicated by Peter Ramsay}
EdinburghTaylor, D.G. (University College, Cardiff) Addition of a third of a period to the argument of the elliptic function, {Communicated by Thomas M MacRobert}
Arthur, W. and McArthur, N. (Glasgow) Notes on analytical geometry
EdinburghRoss, E.B. (Christian College, Madras, India) and Baker, B.B. (Edinburgh) A problem in dynamics: The vibrations of a particle about a position of equilibrium,

EdinburghBaker, B.B. (Edinburgh) On the relation between Pincherle's polynomials and the hypergeometric function
Strang, J.A. (Canning College, Lucknow, India) The inverse problem of insoptic loci, {Communicated by James D Fulton}
Genese, R.W. (Aberystwyth) On a supplement to Gauss's theorem on the sum of two squares, {Communicated by Peter Ramsay}
GlasgowCarslaw, H.S. (Sydney, Australia) On some map projections, including the story of Mercator's projection -- a chapter in the history of mathematics
Gibson, G.A. (Glasgow) Taylor's theorem and Bernoulli's theorem: a historical note

1921-22

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EdinburghWhittaker, E.T. (Edinburgh) The geometry of relativity
GlasgowMarshall, W. (Purdue University, Lafayette, Indiana) Determination of the arbitrary constants which appear in the asymptotic expansions for the functions of the elliptic cylinder, {Communicated by Thomas M MacRobert}
Stokes, G.D.C. (Glasgow) A school method of evaluation π
Stokes, G.D.C. (Glasgow) A dissection of the extended form of Pythagoras's theorem
Davis, R.F. (Amateur mathematician) Note on Halley's Problem: To construct an ellipse whose focus is given, which shall pass through three given points, {Communicated by Peter Ramsay}
EdinburghBaker, B.B. (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 2. The relation between series and elliptic function solutions
Whittaker, E.T. (Edinburgh) On Sylvester's dialytic method of elimination
Whittaker, E.T. (Edinburgh) Note on an asymptotic expansion for the exponential function
EdinburghMacRobert, T.M. (Glasgow) The asymptotic expansion of the confluent hypergeometric function and a Fourier-Bessel expansion
Green, S.L. (Queen Mary College, London) Note on the tetrahedron, {Communicated by David Gibb}
Horsburgh, E.M. (Edinburgh) Root extraction by the calculating machine
EdinburghKnott, C.G. (Edinburgh) Recent work on earthquake waves
Lidstone, G.J. (Scottish Widows' Fund in Edinburgh) A new form for the sum of a trigonometric series, {Communicated by George D C Stokes}
GlasgowGibson, G.A. (Glasgow) Newton's conception of a limit as interpreted by Jurin and Robins respectively
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Remarks on Mathieu's functions
St AndrewsTurnbull, H.W. (St Andrews) The invariant theory of circles and bicircular quartics
Humbert, P. (Faculty of Science, Montpellier) On Mathieu's functions of higher order, {Communicated by David Gibb}
Lidstone, G.J. (Scottish Widows' Fund in Edinburgh) Notes on Everett's interpolation formula, {Communicated by George Robinson}
Wolff, C.E. Notes on problems in the theory of potential

1922-23

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EdinburghBaker, B.B. (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 3, The significance of the divergence of the series solution
Baker, B.B. (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 4, The convergence of the trigonometric series of dynamics
Daniell, A. (lawyer) Note on the integral powers of multinomials
GlasgowMacRobert, T.M. (Glasgow) The asymptotic expansions of the spherical harmonics
Vaidyanathaswami, R. (The University, Madras, India) On decreasing sequences of positive integers
EdinburghWhittaker, E.T. (Edinburgh) On some questions connected with skew determinants
King, A.W. A form of Laplace's operator, {Communicated by Edward Thomas Copson}
EdinburghTurnbull, H.W. (St Andrews) The algebra of geometrical reciprocation
Turnbull, H.W. (St Andrews) Gordan's theorem for double binary forms
Ayyangar, A.A.K. (Mysore, India) Notes on elementary geometry, {Communicated by J B Lockhart}
EdinburghPressland, A.J. (The Academy, Edinburgh) A discussion on the teaching of elementary geometry
GlasgowGibson, G.A. (Glasgow) James Gregory's mathematical work: a study based chiefly on his letters
Brodetsky, S. (Leeds) On curved barriers
Ince, E.L. (Liverpool) Associated Mathieu functions, {Communicated by Archibald Milne}
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On the solution of Mathieu's differential equation and their asymptotic expansions
St AndrewsSteggall, J.E.A. (University College, Dundee) Notes on the equations of the epicycloids and hypocycloids
Turnbull, H.W. (St Andrews) Note on the inversion geometry of bicircular quartics
Saddler, W. (St Andrews) Geometrical interpretation of a few concomitants of the cubic in the Argand plane
Vaidyanathaswami, R. (The University, Madras, India) Note on an extension of the harmonic relation between two conics
Eastwood, G.S. (Beath Secondary School in Cowdenbeath) On tubes of force in a special class of electromagnetic fields
Gabbat, J.P. (Peterhouse, Cambridge) On the non-Euclidean analogues of Tarry's point
Sommerville, D.M.Y. (St Andrews) Space-filling tetrahedra in Euclidean space
Green, S.L. (Queen Mary College, London) On the relation between two quadrics which are such that the edges of an icosahedron inscribed in one are tangents to the other

1923-24

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EdinburghGray, M.C. (Imperial College of Science and Technology, London) The equation of telegraphy
Aitken, A.C. (Edinburgh) An elementary proof of Girard's theorem
Aitken, A.C. (Edinburgh) An infinite product of Euler
GlasgowMacRobert, T.M. (Glasgow) Expansions in series of spherical harmonics
Blades, R.F. Direct proofs of theorems in elementary geometry
Aitken, A.C. (Edinburgh) and Frewin, G.L. (George Watson's College, Edinburgh) The numerical evaluation of double integrals
Copson, E.T. (Edinburgh) On a linear partial differential equation of hyperbolic type
EdinburghTurnbull, H.W. (St Andrews) Canonical forms of the cubic surface
Whittaker, E.T. (Edinburgh) On inverse functions
Williamson, J. (Johns Hopkins University, Baltimore) The linear complexes belonging to the invariant system of three quadrics
Vaidyanathaswami, R. (The University, Madras, India) On mixed determinants
EdinburghGray, M.C. (Imperial College of Science and Technology, London) The equation of conduction of heat
Prasad, G. (University of Allahabad) On the numerical solution of integral equations
Turnbull, H.W. (St Andrews) Note on the configuration of the eight common points of three quadrics
Saddler, W. (St Andrews) Note on Sylvester's theorem of elimination
EdinburghBeatty, S. (Toronto) On the rearrangement of terms in a complex series, {Communicated by Bevan B Baker}
Lord, F. (Imperial College of Science and Technology, South Kensington) Analytical expressions for Zeuner's and other valve diagrams, {Communicated by Ellice Martin Horsburgh}
Nassau, J.J. (Warner and Swasey Observatory, Case School of Applied Science, Cleveland, Ohio) Some axi-symmetric determinant with integers for elements, {Communicated by David Gibb}
Copson, E.T. (Edinburgh) The conservation theorems of a damped dynamical system
GlasgowMetzler, W.H. (Syracuse University, New York) A generalisation and simple proof of Kronecker's theorem concerning the minors of a compound determinant, {Communicated by David Gibb}
Baker, B.B. (Edinburgh) An extension of Heaviside's operational method of solving differential equations
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on Mathieu's differential equation
St AndrewsTurnbull, H.W. (St Andrews) On the bearings of projective geometry on Weyl's relativity hypothesis
Saddler, W. (St Andrews) Note on the geometry of two binary quadratics in the complex plane
Saddler, W. (St Andrews) The geometrical interpretation of the complete system of two double binary (2, 1) forms
Williamson, J. (Johns Hopkins University, Baltimore) The irreducible covariants belonging to the concomitant system of three quadrics
Aitken, A.C. (Edinburgh) Series formulae for the roots of equations
Vaidyanathaswami, R. (The University, Madras, India) The locus of lines meeting three regions
Chappell, G.E. (County School, Bridgend, Glamorgan) The properties of a new orthogonal function associated with the confluent hypergeometric function

1924-25

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EdinburghAitken, A.C. (Edinburgh) A series for symmetric functions of roots of equations
Ayyangar, A.A.K. (Mysore, India) On the sexi-sectional equation, {Communicated by Alexander Craig Aitken}
Tweedie, C. (Edinburgh) Notes on James Gray, {Communicated by Archibald Milne}
Copson, E.T. (Edinburgh) On self-adjoint partial differential equations of the second order, (Part 1)
GlasgowMacRobert, T.M. (Glasgow) On the expression for the surface density of a sphere in terms of spherical harmonics
Ferrar, W.L. (Edinburgh) On the Riemann P-equation with integral exponent differences
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Elementary notes on coordinates, conics and conjugate points
EdinburghWilliamson, J. (Johns Hopkins University, Baltimore) and Turnbull, H.W. (St Andrews) On the general invariant theory of two quadratics in n variables
Ferrar, W.L. (Edinburgh) On the cardinal function of interpolation
Gray, M.C. (Imperial College of Science and Technology, London) Particular solutions of the equation of conduction of heat in one dimension, {Communicated by Edward Thomas Copson}
Wilson, R. Power co-ordinates and the bicircular quartic, {Communicated by Herbert Westren Turnbull}
EdinburghTurnbull, H.W. (St Andrews) On the geometrical connexion between lines in S3 and points of quadrics in S5
Aitken, A.C. (Edinburgh) On recurring decimals
Turnbull, H.W. (St Andrews) Note on the orthocentric property of a triangle
GlasgowMacRobert, T.M. (Glasgow) The addition theorem for the Legendre functions of the second kind
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Elementary notes on coordinates, conics and conjugate points
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On the development of the elementary functions from Vandermonde's theorem
Copson, E.T. (Edinburgh) Note on Binet's inverse factorial series for μ(x)
St AndrewsMacdonald, H.M. (Aberdeen) Note on a formula connected with Fourier series
Steggall, J.E.A. (University College, Dundee) Coaxal quadrics
Vaidyanathaswami, R. (The University, Madras, India) The group of the (2,2) form, {Communicated by Herbert Westren Turnbull}
Saddler, W. (St Andrews) The geometrical interpretation of the concomitants of the double binary (2, 2) form
EdinburghAitken, A.C. (Edinburgh) The mathematical theory of graduation
Turnbull, H.W. (St Andrews) Notes on the configuration of lines and points on a quadric surface
Saddler, W. (St Andrews) Note on a binary quartic
Muirhead, R.F. (Glasgow) Note on topics of regions separated by boundaries
Whittaker, J.M. (Trinity College, Cambridge) The differentiation of an indefinite integral,
Ferrar, W.L. (Edinburgh) On the relation between inverse factorial series and binomial coefficient series
Kaucky, T. Note on the paper of Dr Bevan B Baker: An extension of Heaviside's operational method of solving differential equations

1925-26

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EdinburghHorsburgh, E.M. (Edinburgh) Charles Tweedie, M.A., B.Sc., F.R.S.E., (Obituary notice)
Milne, A. (Provincial Training College, Edinburgh) William Lindsay, (Obituary notice)
Turnbull, H.W. (St Andrews) On the condition that ten points should lie on a quadric surface
Ferrar, W.L. (Oxford) The possible generalisation of Pascal's theorem to three dimensions, {Communicated by Herbert Westren Turnbull}
Eastwood, G.S. (Beath Secondary School in Cowdenbeath) Note on calamoids
Copson, E.T. (Edinburgh) On self-adjoint partial differential equations of the second order (Part 2)
GlasgowComrie, P. (Leith Academy) James Archibald (Obituary Notice)
Lawson, G. (Waid Academy, Anstruther) Discussion on tangency in elementary geometry
EdinburghMcKendrick, A.G. (College of Physicians Laboratory, Edinburgh) Applications of mathematics to medical problems
EdinburghSaddler, W. (St Andrews) Apolar triads on a cubic curve
Ghosh, J. Transverse vibrations of an elliptic plate
Sommerville, D.M.Y. (St Andrews) Peaucellier's cell and other linkages in non-Euclidean geometry, {Communicated by William Saddler}
Copson, E.T. (Edinburgh) Note on Whittaker's solution for Laplace's equation
Ferrar, W.L. (Oxford) and Bell, R.J.T. (Glasgow) Mathematical Notes, {Communicated by Peter Ramsay}
GlasgowWalker, R. (Provincial Training College, Glasgow) William A Lindsay, M.A., B.Sc., (Obituary notice)
Gibson, G.A. (Glasgow) Some criticisms of Robert Simson by Sir T L Heath
Hyslop, J. (Glasgow) Geometrical illustrations of the matrix theory
EdinburghCancelled due to general strike.
St AndrewsTurnbull, H.W. (St Andrews) The invariant theory of the quadratic complex
Bateman, H. (California Institute of Technology) Local electromagnetic fields
Ghosh, J. The Einsteinian gravitational field of a heterogeneous fluid sphere

1926-27

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EdinburghHyslop, J. (Glasgow) A theorem on the integral of Stieltjes
Baker, H.F. (Cambridge) Symbolic algebra and rational curves on quadrics, {Communicated by Herbert W Turnbull}
Richmond, H.W. (King's College, Cambridge) Note on the line of striction
Whittaker, J.M. (Edinburgh) An addition theorem for the Mathieu functions
GlasgowWhittaker, E.T. (Edinburgh) On the concept of frequency of light
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Difference equations and asymptotic expansions
Miller, A.H. Two models for teaching solid geometry in schools (with demonstrations)
MacRobert, T.M. (Glasgow) On some Legendre function formulae
EdinburghTurnbull, H.W. (St Andrews) Note on double binary perpetuants
Aitken, A.C. (Edinburgh) On determinants of symmetric functions
Whittaker, J.M. (Edinburgh) On the correlation of aggregates
Whittaker, J.M. (Edinburgh) On the cardinal function of interpolation theory
Copson, E.T. (Edinburgh) Note on the integral equations for the Lamé functions
Turnbull, H.W. (St Andrews) Note on partial fractions and determinants
McWhan, J. (Glasgow) On the maxima and minima of functions of two variables
EdinburghAitken, A.C. (Edinburgh) Permutations and allied topics
Saddler, W. (St Andrews) Note on the trilinear correspondence
Sheppard, W.F. (Edinburgh) Interpolation with least mean square of error
Ghosh, J. A class of solutions of Einstein's gravitational equations
Richmond, H.W. (King's College, Cambridge) On the meaning of an equation in dual coordinates
Richmond, H.W. (King's College, Cambridge) On the uninodal quartic curve
EdinburghStewart, C.A. (Sheffield) The solution of Cauchy's problem for linear partial differential equations, with constant coefficients, by means of integrals involving complex variables
Saddler, W. (St Andrews) Apolar triads on a cubic curve
Vaidyanathaswami, R. (The University, Madras, India) A special pencil of binary quartics
Turnbull, H.W. (St Andrews) Note on partial fractions and determinants
GlasgowWhittaker, E.T. (Edinburgh) Definitions, axioms and existence-theorems in Euclid
St AndrewsTurnbull, H.W. (St Andrews) On differentiating a matrix
Aitken, A.C. (Edinburgh) On the latent roots of matrices
Saddler, W. (St Andrews) Apolar triads of a cubic curve
Vaidyanathaswami, R. (The University, Madras, India) A special pencil of binary quartics
Sen, R.N. (Edinburgh) Infinitesimal analysis of an arc in n-space

1927-28

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EdinburghWolff, C.E. Note on numerical integration
Ferrar, W.L. (Oxford) A critical study of generalised derivatives and integrals, {Communicated by Edward Thomas Copson}
Weatherburn, C.E. (The University, Perth, West Australia) Some properties of a family of curves on a surface
Mitra, S.C. (Dacca University, India) On the zeros of the confluent hypergeometric function
Copson, E.T. (Edinburgh) On Hardy's theory of m-functions
GlasgowStokes, G.D.C. (Glasgow) Three mathematical notes
Whittaker, J.M. (Edinburgh) Cardinal function interpolation
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Three mathematical notes
EdinburghWilliamson, J. (Johns Hopkins University, Baltimore) Division algebras
EdinburghTurnbull, H.W. (St Andrews) On matrix differentiation
Saddler, W. (St Andrews) On the invariant algebra associated with lines
Bell, E.T. (California Institute of Technology) A generalisaton of circulants
GlasgowWhittaker, J.M. (Edinburgh) On Whitehead's theory of relativity
Muirhead, R.F. (Glasgow) On maxima and minima
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Newton's laws of gravitation and relativity
EdinburghTurnbull, H.W. (St Andrews) Great Geometers
St AndrewsAitken, A.C. (Edinburgh) Note on Numerical Integration
Steggall, J.E.A. (University College, Dundee) On the factorization of 232 + 1
Williamson, J. (Johns Hopkins University, Baltimore) The complete system of the quadratic complex
Turnbull, H.W. (St Andrews) On matrix equations
Nassau, J.J. (Warner and Swasey Observatory, Case School of Applied Science, Cleveland, Ohio) A theorem on bordering symmetrical determinants whose elements are of the form araaas

1928-29

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EdinburghWhittaker, E.T. (Edinburgh) Recurrence formulae in the theory of the equations of mathematical physics
Aitken, A.C. (Edinburgh) The numerical solution of algebraic equations
GlasgowRobb, R.A. (Glasgow) Lecture on the mathematics of business statistics
EdinburghTurnbull, H.W. (St Andrews) Matrices whose elements are matrices
Aitken, A.C. (Edinburgh) The reduction of a matrix to its normal form
Ayyangar, A.A.K. (Mysore, India) A linear combination prime to a given integer
EdinburghSaddler, W. (St Andrews) On some algebraical points connected with the four-nodal cubic surface
Whittaker, J.M. (Edinburgh) On the Stieltjes integral
GlasgowMacRobert, T.M. (Glasgow) On an integral due to Ramanujan, and some ideas suggested by it
Hyslop, J. (Glasgow) On the Hellinger integral
Walsh, C.E. A note on double limits
Walsh, C.E. An application of Abel's lemma to double series
EdinburghAitken, A.C. (Edinburgh) A general formula of polynomial interpolation
Sen, R.N. (Edinburgh) On rotations on n-dimensional space
Ruse, H.S. (Edinburgh) Notes on the tensor calculus
Hyslop, J. (Glasgow) Note on the remainder theorem
St AndrewsGupta, P.N.D. (St Andrews) and Turnbull, H.W. (St Andrews) Systems of linear complexes associated with a quadric surface
Hyslop, J. (Glasgow) On Young's condition for the Stieltjes integral
Turnbull, H.W. (St Andrews) The invariant theory of bilinear forms and a problem of enumeration arising therefrom
Whittaker, J.M. (Edinburgh) On the Poisson sum of a Fourier series

1929-30

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EdinburghLidstone, G.J. (Scottish Widows' Fund in Edinburgh) On the extention of Aitken's theorem (on polynomial interpolation) to the Everett Types, {Communicated by A C Aitken}
Turnbull, H.W. (St Andrews) A matrix form of Taylor's theorem
Sen, R.N. (Edinburgh) Spherical simplexes in n-dimensions
GlasgowMacRobert, T.M. (Glasgow) A formula for the product of two hypergeometric functions
Aitken, A.C. (Edinburgh) On Charlier's new form of the frequency function
Stokes, G.D.C. (Glasgow) Note on Hero's formula
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) An extension of Clifford's chain of circles
EdinburghBirkhoff, G.D. (Harvard) On the number of ways of colouring a map, {Communicated by H W Turnbull}
Baker, H.F. (Cambridge) A geometrical theorem and the resultant of two binary forms
Turnbull, H.W. (St Andrews) Note on the resultant of two binary forms
Ferrar, W.L. (Oxford) On generating functions, {Communicated by E T Copson}
EdinburghRichmond, H.W. (King's College, Cambridge) On rational solutions of x3 = y3 = z3 = R, {Communicated by G Timms}
Mursi, M. (Cairo) On the uniformization of algebraic curves of genus 3
Semple, J.G. (Edinburgh) Grassmann manifolds and their representations
Copson, E.T. (Edinburgh) A generalization of a theorem of Mercer
GlasgowMacRobert, T.M. (Glasgow) On some relations between the Bessel and Legendre functions
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Transmission of stress in a conical rod
Muir, T. (Glasgow High School) Alternative forms of expression for Hermite's determinant
EdinburghSemple, J.G. (Edinburgh) Intersections of quadrics
Prasad, B.N. (Edinburgh) The absolute summability (A) of Fourier series
Whittaker, J.M. (Edinburgh) On the 'flat' region of integral functions of finite order, {Communicated by E T Copson}
DundeeSteggall, J.E.A. (University College, Dundee) On the limiting forms of certain rational curves
Turnbull, H.W. (St Andrews) Canonical matrices
Ruse, H.S. (Edinburgh) On the 'Elementary' solution of a Laplace's equation
Sutherland, J.W. (Cambridge) Equiangular spirals associated with a nest of isosceles triangles, {Communicated by G Timms}

1930-31

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EdinburghHorsburgh, E.M. (Edinburgh) Early instruments in navigation and surveying
Wilson, R. Quadratic equations in a cyclic number system
McCrea, W.H. (Edinburgh) A 'cubical' universe
McVittie, G.C. (Cambridge) Solution with axial symmetry of Einstein's equations of teleparallelism
Sen, R.N. (Edinburgh) On the connexion between Levi-Civita's parallelism and Einstein's parallelism
GlasgowOppenheim, A. (Edinburgh) A problem of Ramanujan
McCrea, W.H. (Edinburgh) Mass condensations and the size of the universe
Turnbull, H.W. (St Andrews) An elementary note on the determinant of symmetric functions, {Communicated by E T Copson}
Aitken, A.C. (Edinburgh) The remainder theorem
Ruse, H.S. (Edinburgh) Generalised solutions of Laplace's equation
Blakey, J. (Sunderland Technical College) The Milne quadrics of the trinodal cubic surface, and the contact conics of the harmonic envelope of the plain trinodal quartic
EdinburghTurnbull, H.W. (St Andrews) Determinants and Latin squares
Whittaker, E.T. (Edinburgh) On the solution of differential equations by definite integrals
Kermack, W.O. (Royal College of Physicians Laboratory, Edinburgh) and McCrea, W.H. (Edinburgh) On Whittaker's method of solution of differential equations by definite integrals, Part I
Williamson, J. (Johns Hopkins University, Baltimore) Bazin's matrix and other allied matrices
Aitken, A.C. (Edinburgh) Note on dual symmetric functions
EdinburghOppenheim, A. (Edinburgh) A class of arithmetical identities
McCrea, W.H. (Edinburgh) On the sections of a sicyoid
Ruse, H.S. (Edinburgh) On the partial differential equations of mathematical physics
Turnbull, H.W. (St Andrews) Matrix differentiation of the characteristic function
GlasgowMacRobert, T.M. (Glasgow) Notes on Fourier Integrals
Robb, R.A. (Glasgow) Note on Charlier's Type A curve
Hyslop, J. (Glasgow) Notes on the Stieltjes integral
Rutter, D. (Leeds University) The polar properties of the trinodal quartic curve
EdinburghEtherington, I.M.H. (Edinburgh) On errors in determinants
McCrea, W.H. (Edinburgh) Operational proofs of some identities
Kermack, W.O. (Royal College of Physicians Laboratory, Edinburgh) and McCrea, W.H. (Edinburgh) On Whittaker's method of solution of differential equations by definite integrals, Part II
St AndrewsTurnbull, H.W. (St Andrews) The solution of matrix equations
Aitken, A.C. (Edinburgh) The mechanical solution of linear equations
Whittaker, J.M. (Edinburgh) The composition of linear differential systems

1931-32

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EdinburghCopson, E.T. (Edinburgh) Recent advances on the theory of functions
Carslaw, H.S. (Sydney, Australia) On Cramer's theorem concerning the Gibbs' phenomenon
Carslaw, H.S. (Sydney, Australia) and Lyons, R.S. A trigonometrical sum
Mitra, S.C. (Dacca University, India) On the properties of a certain polynomial analogous to Lommel's polynomial
Parsons, J.D. (Trinity College, Dublin) Solutions with axial symmetry of Einstein's equations of teleparallelism
Rutter, D. (Leeds University) The polar properties of the plane trinodal quartic curve
Wilson, R. A note on resultants of equations in a cyclic number system
EdinburghMcCrea, W.H. (Edinburgh) James Clerk Maxwell and Peter Guthrie Tait
Tait, J.G. Extracts from letters and other documents which passed between Maxwell and Tait
Walker, A.G. (Merton College) On small deformation of sub-spaces of a flat space
Sheppard, W.F. (Edinburgh) Interpolation given by means of differences (Central difference notation)
Richmond, H.W. (King's College, Cambridge) The tritangent circles of a circular quartic curve
EdinburghWhittaker, E.T. (Edinburgh) Careers open to Honours Graduates in Mathematics
Humbert, P. (Faculty of Science, Montpellier) On Appel's function P (theta, phi)
EdinburghThomson, R.W.M. An apparatus for determining coefficients in power series, {Communicated by William Peddie and read by H S Ruse}
Gillespie, R.P. (Glasgow) On functions of integrals
Ince, E.L. (Liverpool) A partial differential system
Turnbull, H.W. (St Andrews) Generalised continued fractions
Sommerville, D.M.Y. (St Andrews) Metrical coordinates in non-Euclidean geometry
Aitken, A.C. (Edinburgh) On interpolation by iteration of proportional parts, without the use of differences
St AndrewsAitken, A.C. (Edinburgh) Mathematical Statistics
EdinburghBlack, T.P. (Trinity Academy, Edinburgh) Mr H G Forder's recent works on geometry, in relation to school mathematics
Mursi-Ahmed, M. (Cairo) On the composition of simultaneous differential systems of the first order
McCoy, N.H. (Smith College, Northampton, Massachusetts) Certain expansions in the algebra of quantum mechanics
Fekete, M. (Hebrew University of Jerusalem) On the absolute summability (A) of infinite series
Campbell, J.T. (Edinburgh) Factorial moments and frequencies of Charlier's Type B
St AndrewsTurnbull, H.W. (St Andrews) An algebraical principle of hereditary reduction
Walker, A.G. (Merton College) Generalised moving axes
Rutherford, D.E. (St Andrews) On the canonical form of a rational integral function of a matrix
Daniels, H.E. (Edinburgh) A theorem on the complete integral
Walsh, C.E. A note on sequences determined by recurrence relations
Winn, C.E. On absolute summability for any positive order
Phillips, E.G. Self-reciprocal functions in the form of series

1932-33

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Edinburgh Horsburgh, E.M. (Edinburgh) Sir John Leslie, mathematician and natural philosopher
Dundee Timms, G. (St Andrews) The perambulator in projective geometry
Edinburgh Thomson, G.H. (Edinburgh) Mathematical ability and mathematical teaching
Edinburgh Gillespie, R.P. (Glasgow) The calculus of variations
Edinburgh Turnbull, H.W. (St Andrews) James Gregory: an account of his unpublished contributions to algebra and analysis
St Andrews Gillespie, R.P. (Glasgow) Integral inequalities;
Whittaker, E.T. (Edinburgh) Notes on wave mechanics

1933-34

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Edinburgh Dougall, J. (Glasgow) Circles ancient and modern
Edinburgh Turnbull, H.W. (St Andrews) and Aitken, A.C. (Edinburgh) On pencils of hermitian forms;
Aitken, A.C. (Edinburgh) On fitting polynomials to correlated data
Edinburgh Edge, W.L. (Edinburgh) Some elementary properties of twisted curves
Edinburgh Turnbull, H.W. (St Andrews) On quadric surfaces circumscribing a hexagon;
Etherington, I.M.H. (Edinburgh) A method of multiplication;
Aitken, A.C. (Edinburgh) On solving simultaneous equations
Dundee Rutherford, D.E. (St Andrews) Modular invariants
Edinburgh Lawson, G. (Rector, Waid Academy, Anstruther) Some teaching problems: arithmetic and elementary algebra
St Andrews Edge, W.L. (Edinburgh) A canonical form for three quinary quadratics;
McVittie, G.C. (Edinburgh) The synchronising of clocks in general relativity

1934-35

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Edinburgh Turnbull, H.W. (St Andrews) Recent developments in Higher Algebra
Edinburgh Ruse, H.S. (Edinburgh) The twenty-one coordinates of a conic;
Aitken, A.C. (Edinburgh) Notes on least squares
Edinburgh Thompson, D'A.W. (St Andrews) Some polygons and polyhedra
Dundee Wilson, B.M. (Dundee) Some notes on divergent series
Edinburgh Turnbull, H.W. (St Andrews) On the exponential limit and Euler's gamma;
Marzials, F.M. On the teaching of simple mathematical astronomy in schools;
Etherington, I.M.H. (Edinburgh) The use of non-associative algebra in genetics;
Aitken, A.C. (Edinburgh) A useful expansion in determinants
Aberdeen Macdonald, H.M. (Aberdeen) A history of dynamical methods
St Andrews Richmond, H.W. (King's College, Cambridge) On the tritangent planes of a quadric-cubic space curve; {communicated by Bath, F.}
Ledermann, W. (St Andrews) Note on permanants

1935-36

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Edinburgh Street, R.O. (Royal Technical College, Glasgow) Earthquake waves
Edinburgh Edge, W.L. (Edinburgh) A problem of reciprocation;
Aitken, A.C. (Edinburgh) The evaluation of latent roots and latent vectors
Edinburgh Darwin, C.G. (Edinburgh) Uncertainty
Dundee Timms, G. (St Andrews) The higher the fewer - some higher geometry in an elementary manner
Edinburgh Turnbull, H.W. (St Andrews) Bideterminants;
Etherington, I.M.H. (Edinburgh) Determinants of fractional order;
Aitken, A.C. (Edinburgh) A further note on multivariate selection
Edinburgh Whittaker, E.T. (Edinburgh) Light waves and the Fourier theory
St Andrews Ledermann, W. (St Andrews) On the upper limit of the latent roots of a certain class of matrices

1936-37

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Edinburgh Ruse, H.S. (Edinburgh) Modern differential geometry
Edinburgh Turnbull, H.W. (St Andrews) The invariant system of a quaternary quadratic;
Smith, R.A. (St Andrews) The disintegration of atomic nuclei
Edinburgh Taylor, W. School mathematics
Edinburgh Edge, W.L. (Edinburgh) Three quadric surfaces
Edinburgh Turnbull, H.W. (St Andrews) Deformable quadrics and their circular sections;
McKendrick, A.G. (College of Physicians, Edinburgh) Some properties of points on a single twisted Möbius surface;
Turnbull, H.W. (St Andrews) Note on the history of the fundamental theorem of the integral calculus
Aberdeen Wright, E.M. (Aberdeen) The solution of Waring's problem
St Andrews Aitken, A.C. (Edinburgh) The arithmometer in some problems of practical mathematics

1937-38

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Edinburgh Street, R.O. (Royal Technical College, Glasgow) Tidal theory, classical and modern
Edinburgh Hyslop, J.M. (Glasgow) On the approach of a series to its Cesaro limit;
McCrea, W.H. (read by Etherington, I.M.H.) The geometrical foundations of certain relativity theories;
Richmond, H.W. (King's College, Cambridge) On extensions of Pascal's Theorem, Part 2
Edinburgh Bath, F. (Edinburgh) Serret's syzygies and their applications
Edinburgh Mackie, J. (Rector, Leith Academy) School mathematics - a discussion
Edinburgh Macintyre, A.J. (Aberdeen) Overconvergence and gap theorems
Edinburgh Strachan, C. (Aberdeen) The theory of metals
St Andrews Thompson, D'A.W. (St Andrews) A semi-regular solid with triangular and pentagonal faces;
Turnbull, H.W. (St Andrews) The original proof that log 2 = 1 - 1/2 + 1/3 - 1/4 + ... ;
Etherington, I.M.H. (Edinburgh) Respiration mathematics;
Bath, F. (Edinburgh) Wallace's Theorem

1938-39

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Edinburgh Lawson, G. (retired Rector of Waid Academy, Anstruther, Fife) Robots in first year algebra
Edinburgh Aitken, A.C. (Edinburgh) Reciprocals of some persymmetric matrices;
Ledermann, W. (St Andrews) A variation of Wilson's theorem;
Whittaker, E.T. (Edinburgh) The connection of classical contact-transformations with non-commuting quantities
Edinburgh Timms, G. (St Andrews) Elementary lecture on some topics in Higher Geometry
Edinburgh Greaves, W.M.H. (Astronomer-Royal for Scotland) The escape of radiation from stars
Edinburgh Thomson, G.H. (Edinburgh) Mathematical problems in the analysis of human ability
Edinburgh Turnbull, H.W. (St Andrews) On the latent roots of a matrix [ (i + j - 1)-1];
Hyslop, J.M. Some sufficient conditions for the absolute Cesaro summability of series;
Marshall, J.B. (Edinburgh) On the extension of Fermat's Theorem to matrices
St Andrews Faulkner, T.E. (University College, Dundee) Problems connected with the theory of surfaces

1939-40

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Edinburgh Carroll, J.A. (Aberdeen) The foundations of natural philosophy
Edinburgh Finlay Freundlich, E. (St Andrews) The 2-body problem in modern astronomy
Edinburgh Inverarity, W.M. (Schoolmaster, Clarkston)
Turnbull, H.W. (St Andrews) and Lang, A. (H.M. Senior Inspector of Schools) School mathematics for the prospective honours graduate
Edinburgh Ince, E.L. (Edinburgh) Lamé functions
St Andrews Turnbull, H.W. (St Andrews) On the geometrical treatment of elementary divisors;
Aitken, A.C. (Edinburgh) Estimation of statistical parameters by minimum variance

1940-41

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Edinburgh Smart, W.M. (Regius Professor of Astronomy, Glasgow) Stellar systems
Edinburgh Brown, L.M. (Edinburgh) A description of elementary topology
Edinburgh Schlapp, R. (Edinburgh) Turbulence
Edinburgh Napier, M.M. (James Gillespie's High School for Girls) and Erdélyi, A. (Edinburgh) School mathematics in the U.S.A. and Europe
Edinburgh Graham, T.S. (Glasgow) Continuous groups and differential geometry
Edinburgh Erdélyi, A. (Edinburgh) Integral equations for Lamé functions;
Schlapp, R. (Edinburgh) A note on small vibrations
St Andrews Copson, E.T. (Dundee) Some problems in the theory of partial differential equations of physics

1941-42

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Edinburgh Rutherford, D.E. (St Andrews) Substitutional analysis - an account of the life-work of the late Alfred Young
Edinburgh Cossar, J. (Edinburgh) The summability of Fourier's integral;
Turnbull, H.W. (St Andrews) The invariant theory of canonical matrices
Edinburgh Edge, W.L. (Edinburgh) Quartic polynomials
Edinburgh Buchan, A.F. (Moray House Training College), Mackie, J. (Rector, Leith Academy), and Reith, G. (Saughton Junior Secondary School) Has mathematics as it is or could be taught in schools, any cultural or educational value for the average pupil?
Edinburgh Eggleton, P. On the theory of thermostat control;
Aitken, A.C. (Edinburgh) Note on bialternants
Edinburgh Erdélyi, A. (Edinburgh) Doubly orthogonal systems
St Andrews Turnbull, H.W. (St Andrews) Report on recent progress in the theory of forms

1942-43

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Edinburgh Born, M. (Edinburgh) Stability and thermodynamics of crystal lattices
Edinburgh Turnbull, H.W. (St Andrews) The mathematical discoveries of Newton
Edinburgh Born, M. (Edinburgh), Rutherford, D.E. (St Andrews) and Ledermann, W. (St Andrews) The distribution of the latent roots of certain matrices associated with problems of crystal bodies
Edinburgh Scott, W. The Junior Secondary School and its place in the Educational System
Edinburgh Offord, A.C. (King's College, Newcastle-upon-Tyne) An inequality for sums of independent random variables;
Walls, N. On Morley's adjustable cycloids
Edinburgh Coulson, C.A. (Queen's College, Dundee) Mathematics of some radiative problems in biology
St Andrews Whittaker, E.T. (Edinburgh), Turnbull, H.W. (St Andrews) and Aitken, A.C. (Edinburgh) A hundred years of non-commutative algebra

1943-44

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Heriot-Watt College Schlapp, R. (Edinburgh) Eight mathematical films
Edinburgh Ledermann, W. (St Andrews) A note on alternate numbers;
Edge, W.L. (Edinburgh) Another talk on quartic polynomials
Edinburgh Steele, A.D. (Edinburgh) Some beginnings of algebraic structure in Greek mathematics
Edinburgh Mackie, J. (Principal Teacher of Mathematics, Leith Academy) The teaching of advanced mathematics in schools
Edinburgh Rushbrooke, G.S. On the momentum distribution associated with a Morse potential field;
Etherington, I.M.H. (Edinburgh) Transposed algebras
Edinburgh Aitken, A.C. (Edinburgh) The symmetric group and invariant theory
St Andrews Copson, E.T. (Dundee) Unsolved problems in the theory of waves

1944-45

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Edinburgh Schlapp, R. (Edinburgh) Some early mathematical works in Edinburgh University library
Edinburgh Cossar, J. (Edinburgh) The introduction of the circular functions into analysis;
Turnbull, H.W. (St Andrews) The Gordan-Capelli theorem
Edinburgh Kermack, W.O. (Royal College of Physicians of Edinburgh) Randomness in theory and in practice
Dundee Bath, F. (Edinburgh) The teaching of geometry in schools
Edinburgh Paton, J. The use of the temperature-entropy diagram in meteorological practice
Edinburgh Rogosinski, W.W. (Aberdeen) Measure and integral
St Andrews Ledermann, W. (St Andrews) A note on vector potentials;
Read, S. A transition of soap film from two circular discs into a catenoid;
Etherington, I.M.H. (Edinburgh) Non-associative arithmetics

1945-46

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Edinburgh Edge, W.L. (Edinburgh) Sylvester's synthematic totals and Maschke's quartic forms
Edinburgh Aitken, A.C. (Edinburgh) Some remarks on iteration;
Turnbull, H.W. (St Andrews) A note on bi-forms
Edinburgh Buchan, A.F. and Elder, T. School examination questions in mathematics
Edinburgh Erdélyi, A. (Edinburgh) Symbolic representation of the Laplace transformation;
McIntyre, xxx
Edinburgh Richardson, E.G. (King's College, Newcastle-upon-Tyne) The classical and real fluids
Edinburgh Steele, A.D. (Edinburgh) Mathematics - What it is, and what it is for;
Whittaker, E.T. (Edinburgh) The logistical school of Bertrand Russell
St Andrews Wright, E.M. (Aberdeen) Difference-differential equations

1946-47

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Edinburgh Mackie, J. (Principal Teacher of Mathematics, Leith Academy) Augustus De Morgan
Edinburgh Schlapp, R. (Edinburgh) The life of Colin Maclaurin
Edinburgh Brown, L.M. (Edinburgh) Plane involutions
Edinburgh Aitken, A.C. (Edinburgh) Some remarks on matrix differentiation;
Erdélyi, A. (Edinburgh) Discontinuous wave functions
Edinburgh Copson, E.T. (Dundee) Latent roots and eigenfunctions
Edinburgh Ruse, H.S. (Leeds) Spaces of recurrent curvature
St Andrews Lord, R.D. (Royal College of Science, Glasgow) The addition of random vectors;
Turnbull, H.W. (St Andrews) Symmetric determinants and Cayley and Capelli operators

1947-48

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Edinburgh Gillespie, R.P. (Glasgow) Lagrange multipliers
Edinburgh Whittaker, J.M. (Liverpool) The representation of functions by series
Edinburgh Bonsall, F.F. (Edinburgh) Linear independence of functions
Edinburgh Reith, G. (Depute Director of Education, Edinburgh) Statistics as an aid to the examiner
Edinburgh Aitken, A.C. (Edinburgh) Symposium on probability
Edinburgh Greaves, W.M.H. (Astronomer-Royal for Scotland) The structure of globular clusters
St Andrews Jackson, J.M. (University College, Dundee) An approximate method of evaluating certain types of surface integral;
Goddard, L.S. (Aberdeen) Self-transformations of algebraic surfaces

1948-49

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Edinburgh Etherington, I.M.H. (Edinburgh) Recent progress in non-associative algebras
Edinburgh Zassenhaus, H.J. (Hamburg and Glasgow) One-sided distributive algebras
Edinburgh Edge, W.L. (Edinburgh) Undulations on plane quartic curves
Edinburgh Thomson, G.H. The logic of factorial analysis
Edinburgh Whittaker, E.T. (Edinburgh) The life and work of Laplace
Dundee Wallace, A.H. (University College, Dundee) Invariant matrices and the Gordan-Capelli series;
Bowen, N.A. Phragmen-Lindelöf and Tauberian theorems
St Andrews Turnbull, H.W. (St Andrews) A note on the confluent regular group matrix;
Vermes, P. (Birkbeck College, London) Series to series transformations and analytic continuation by matrix methods

1949-50

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Edinburgh Marshall, J.B. (Edinburgh) Powers of Gauss sums
Edinburgh Goddard, L.S. (Aberdeen) The base for curves upon an algebraic surface
Edinburgh McLachlan, N.W. The application of Mathieu's equation to non-linear stability problems,
Aitken, A.C. (Edinburgh) Some polynomial reciprocities
Edinburgh Turnbull, H.W. (St Andrews) Newton and his Scottish disciples
Edinburgh McHarg, E. (Glasgow) Generalisations of van der Pol's equation;
Palmer, D.G. The problem of generalising the Jordan curve theorem
Edinburgh Sneddon, I.N. (Glasgow) The propagation of waves in solids
St Andrews Hirsch, K.A. (King's College, Newcastle) An arithmetic property of finite groups;
Mackay, J.P.H. (St Andrews) A note on group representation

1950-51

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Edinburgh Brown, L.M. (Edinburgh) Configurations of associated spaces
Edinburgh Copson, E.T. (St Andrews) The relations between Maxwell's equations and geometrical optics
Edinburgh Edge, W.L. (Edinburgh) Humbert's plane sextics of genus 5
Edinburgh Robson, A. (Marlborough College) Reforms that have taken place during the last half-century in the teaching of geometry in schools
Edinburgh Lawley, D.N. (Moray House, Edinburgh) Mathematical problems connected with the construction of intelligence tests
Edinburgh Burchnall, J.L. (Durham) Some properties of Legendre polynomials
St Andrews Pack, D.C. (Dundee) A problem in incompressible flow;
Etherington, I.M.H. (Edinburgh) Note on quasigroups associated with a cubic curve

1951-52

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Edinburgh Turnbull, H.W. (St Andrews) What is zero? A sidelight on the Newton-Leibniz controversy
Edinburgh Schlapp, R. (Edinburgh) Some phenomena of oscillatory motion
Edinburgh Melvin, H.M. (London) A generalisation of Holder's inequality;
Goddard, L.S. The surfaces containing a given rational curve
Edinburgh Walker, D.A. The scaling of teachers' estimates
Edinburgh Macintyre, A.J. (Aberdeen) Integral functions with gap power series
Edinburgh Finlay Freundlich, E. (St Andrews) The relativistic deflection of light in the gravitational field of the sun
St Andrews Patterson, E.M. (Aberdeen) Complex analytic manifolds

1952-53

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Edinburgh Aitken, A.C. (Edinburgh) Positive linear transformations and Markov chains
Edinburgh Rutherford, D.E. (St Andrews) The numerical solution of differential equations
Edinburgh Popova, H. (Aberdeen) Quasigroups whose logarithmetics are groups;
Jackson, J.M. (University College, Dundee) A physical application of Hankel's inversion theorem
Edinburgh Brown, L.M. (Edinburgh) What is a circle?
Edinburgh Lighthill, M.J. (Manchester) Sound generated aerodynamically
Edinburgh Wolf, E. (Edinburgh) The circle polynomials of Zernike
St Andrews Ledermann, W. (Manchester) The birth and death process in an unlimited population

1953-54

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Edinburgh Graham, T.S. (Glasgow) Power associative algebras
Edinburgh Macbeath, M. (Dundee) Averaging methods in the geometry of numbers
Edinburgh Nisbet, A. (Edinburgh) Linearly polarised time-harmonic electromagnetic waves of arbitrary form;
Patterson, E.M. (Aberdeen) Lie algebras of dimension three
Edinburgh Donaldson, W.J. The teaching of calculus in schools
Edinburgh Gunn, J.C. (Glasgow) Group theory in nuclear physics
Edinburgh Borwein, D. (St Andrews) On the abscissae of the summability of a Dirichlet series;
Robertson Unconditional convergence
St Andrews Hunter, J. (Glasgow) Minimum discriminants of algebraic number fields

1954-55

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Edinburgh Potter, H.S.A. (Aberdeen) Some applications of lattice theory
Edinburgh Vosper, A.G. (Dundee) The measure of sum-sets of p-adic numbers
Edinburgh Scott, T. (Heriot-Watt College, Edinburgh) Notes on a pentahedral net of quadrics;
Robertson, W. On linear topological spaces
Edinburgh Schlapp, R. (Edinburgh) Teaching of elementary dynamics; Sowery, Teaching of elementary dynamics;
Smith (Inspector of Schools) Teaching of elementary dynamics
Edinburgh Kemmer, N. (Edinburgh) The success of bad mathematics in modern physics
Aberdeen Wright, E.M. (Aberdeen) The roots of a certain transcendental equation
St Andrews Rankin, R.A. (Glasgow) Hyperbolic geometry of numbers

1955-56

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Edinburgh Copson, E.T. (St Andrews) The wave-equation - second thoughts on an old topic
Edinburgh Scott, D.B. (King's College, London) Infinitely near points
Edinburgh Collingwood, E.F. (Durham) Some boundary properties of analytic functions
Edinburgh Graham, T.S. (Glasgow) From school to university mathematics;
Brown, L.M. (Edinburgh) From school to university mathematics
Edinburgh Heisenberg, W.K. (Göttingen) The present position in the theory of elementary particles
Edinburgh Gilles, D.C. (Glasgow) Some elements of the development of automatic computing
St Andrews Britton, J.L. (Glasgow) An unsolved problem in the theory of ordered groups;
Noble, B. (Royal College of Science and Technology, Glasgow) An alternative to relaxation methods

1956-57

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Edinburgh Smart, R. (Heriot-Watt College, Edinburgh) Oliver Heaviside
Edinburgh Neumann, B.H. (Manchester) Plane polygons
Edinburgh Bonsall, F. (Newcastle) Banach spaces - a survey lecture
Edinburgh Maxwell, E.A. (Queen's College, Cambridge) Facts and fancies
Edinburgh Green, A.E. (Newcastle-upon-Tyne) Large elastic deformations - a survey
Glasgow Kendall, D.G. (Magdalen College, Oxford) Ergodic theorems for Markov processes
Edinburgh Temple, G. (Oxford) Whittaker's work on the integral representation of special functions
St Andrews Edge, W.L. (Edinburgh) Baker's property of the Weddle surface

1957-58

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Edinburgh Lord, R.D. (Royal College of Science, Glasgow) Hankel transforms and some boundary-value problems
Edinburgh Davenport, H. (University College, London) The applications of analysis to the theory of numbers
Edinburgh Finney, D.J. (Aberdeen) A mathematical problem of genetic equilibrium
Edinburgh Vesselo, I.R. (Cheshire Training College) Mathematical films
Edinburgh Meltzer, B. (Edinburgh) The mathematics of electron flow
Glasgow Northcott, D.G. (Sheffield) The modern theory of syzygies
St Andrews Rutherford Aris (Edinburgh) Some remarks on diffusion problems;
Nash-Williams, C.St.J.A. (Aberdeen) Random walk in infinite networks

1958-59

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Edinburgh Rankin, R.A. (Glasgow) Interval functions and their applications
Edinburgh Noble, B. (Royal College of Science, Glasgow) Diffraction by strips and discs
Edinburgh Payne, L.E. ((Maryland) Isoperimetric inequalities and approximation methods
Edinburgh Broadbent, T.A.A. (Royal Naval College, Greenwich) Biped mathematics
Edinburgh Walker, A.G. (Liverpool) Harmonic spaces
Glasgow Bartlett, M.S. (Manchester) The mathematical theory of epidemics
St Andrews Dixon, C. (Dundee) Convection of fluids

1959-60

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Edinburgh Jackson, J.M. (University College, Dundee) Fourier transforms and the equations of motion of a continuous medium
Edinburgh Aitken, A.C. (Edinburgh) James Stirling
Edinburgh Mackie, A.G. (St Andrews) Some aspects of free streamline problems in fluid dynamics;
McLeod, J.B. (Edinburgh) Four inequalities in Symmetric functions
Edinburgh Taylor, P.L. (Metropolitan Vickers, Manchester) Mathematics in industry
Edinburgh Brück, H.A. (Astronomer Royal for Scotland) Problems of galactic structure
Glasgow Duffin, R.J. (Carnegie Technological Institute, Pittsburg) Networks, difference equations and continua
St Andrews Flett, T.M. (Liverpool) The summability of a power series on its circle of convergence

1960-61

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Edinburgh Sneddon, I.N. (Glasgow) Mixed boundary problems
Edinburgh Reuter, G.E.H. (Durham) Sample functions of Markov processes
Edinburgh Munn, W.D. (Glasgow) Some results on inverse semigroups;
Pearce, R.P. Vorticity in the atmosphere
Edinburgh Smith, J.H. (H.M. Inspectorate of Schools) Senior Secondary School Mathematics
Edinburgh Colombo, S. (Paris) Solutions of Volterra's Equations with logarithmic kernels
Glasgow Heilbronn, H. (Bristol) Averaging arithmetical values of two variables
St Andrews Stone, D. (Manchester) Some aspects of measure theory

1961-62

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Edinburgh Martin, D. (Glasgow) Some topics in differential geometry in the large
Edinburgh White, A.J. (Aberdeen) Spherical summation of multiple Fourier series;
Smyrl, J.L. (Royal College of Science, Glasgow) The impact of a shock-wave on a thin wedge moving at supersonic speed
Edinburgh Hayman, W.K. (Imperial College, London) Circles, spheres and condensers
Edinburgh Land, F.W. (Hull) A background for mathematics teaching
Edinburgh Goodstein, R.L. (Leicester) Formalisations of recursive arithmetic
Dundee Macbeath, M. (Dundee) Non-euclidean geometry
Glasgow Weston, J.D. (Newcastle-on-Tyne) A theory of operational calculus
St Andrews Jones, D.S. (Keele) Some boundary value problems in the theory of diffraction

1962-63

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Edinburgh Read, S. Some thoughts on closing the gap between school and university mathematics
Edinburgh Halberstam, H. (Dublin) Perfect difference sets
Edinburgh Swierkowski, S. (Glasgow) Some problems involving translations, rotations and reflections;
Lambert, J.D. (St Andrews) Finite difference techniques of increased accuracy
Edinburgh Quadling, D.A. (Marlborough) Current developments in school mathematics
Edinburgh Giles, R. (Glasgow) Modern mathematics and the foundations of physics
Glasgow Monk, D. (Edinburgh) Unexceptional models in algebraic geometry: a survey of recent results
St Andrews Ursell, F. (Manchester) Short-wave asymptotics - a class of singular perturbation problems

1963-64

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EdinburghPack, D.C. (Dundee) Mathematicians at Anderson's University
Edinburgh Cox, D.R. (Birbeck, London) Some industrial applications of the theory of probability
Edinburgh Howie, J.M. (Glasgow) Congruences on inverse semigroups;
Squires, E.J. Elementary particles and asymptotic limits of scattering amplitudes
Edinburgh Donald, D. The teaching of sets in schools;
Blackburn, W.T. The teaching of groups in schools;
More, W. The teaching of vectors in schools
Edinburgh Everitt, W.N. (Dundee) The use of classical and functional analysis in eigenfunction expansion
Dundee Synge, J.L. (Dublin Institute for Advanced Studies) The Hamiltonian method and its application to water waves
Glasgow Rogers, C.A. (University College, London) Sections and projections of convex bodies
St Andrews Ledermann, W. (Sussex) Recent progress in the theory of finite groups

1964-65

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Edinburgh Rutherford, D.E. (St Andrews) Boolean matrices
Strathclyde Nonweiler, T.R.F. (Glasgow) The design of wings for high speed flight
Edinburgh Erdélyi, A. (Edinburgh) Axially symmetric potentials
Edinburgh Duncan, J. (Aberdeen) Dual representations of Banach algebras;
West, T. Riesz operators
Edinburgh Sillitto, A.G. A view of school geometry
Dundee Cohn, P.M. (Queen Mary College, London) Rings with a weak algorithm
Edinburgh Rankin, R.A. (Glasgow) Some conjectures of J.W.L. Glaisher
Aberdeen Wylie, S. (GCHQ) The Travelling Salesman and Related Problems
St Andrews Atiyah, M.F. (Oxford) A Lefschetz fixed point formula for elliptic operators

1965-66

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EdinburghPatterson, E.M. (Aberdeen) (Presidential address) Pseudo-rings
GlasgowMitchell, A.R. (St Andrews) Some recent advances in the numerical solution of partial differential equations
EdinburghBonsall, F.F. (Edinburgh) The stability of a wedge under continuous transformations
EdinburghWillmore, T.J. (Durham) Convex immersions
Edinburgh(joint with the Edinburgh Mathematical Association)
Gravett, K.A.H. (Oxford) Mathematics as logic
DundeeCollins, W.D. (Strathclyde) Hyperbolic systems of equations in applied mathematics
LondonBurlington House (joint with the London Mathematical Society)
Flanders, H. (Purdue) Aspects of the differential geometry of hypersurfaces
Macbeath, A.M. (Dundee) Topological lattices of subgroups
AberdeenYano, K. (Tokyo Institute of Technology) Almost complex and almost contact spaces
St AndrewsCoulson, C.A. (Oxford) Lower bounds to eigenvalues

1966-67

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EdinburghMcHarg, E.A. (Glasgow) (Presidential address) Some problems in differential equations
EdinburghButler, D.S. (Strathclyde) Applications of numerical analysis to non-continuum flow
DundeeRingrose, J.R. (Newcastle-upon-Tyne) Representations of operator algebras
StrathclydeScorer, R.S. (Imperial) Unstable centrifugal forces
Edinburgh(joint with the Edinburgh Mathematical Association)
Armitage, J.V. (Durham) The place of geometry in schools
EdinburghGoldie. A.W. (Leeds) A survey of non-commutative noetherian rings
AberdeenMcLeod, J.B. (Oxford) Regge poles and Hilbert-Schmidt operators
St AndrewsCoxeter, H.S.M. (Toronto) The abstract group G{3,9,10}

1967-68

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EdinburghFulton, J. (Edinburgh) (Presidential address) The QD algorithm
EdinburghSilvey, S.D. (Glasgow) Optimum regression designs for convex loss functions
EdinburghNoble, M.E. (University of Kent) Interpolatory function theory
DundeeChadwick, P. (University of East Anglia) Mixtures of two continua
Edinburgh(joint with the Edinburgh Mathematical Association)
Matthews, G. (Nuffield Foundation) From cradle to college
GlasgowLonguet-Higgins, H.C. (Edinburgh) A mathematical theory of temporal recall
AberdeenRobertson, M.M. (Surrey) Identities associated with Farey sequences
St AndrewsZeeman, E.C. (Warwick) Thom's theory of catastrophes

1968-69

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EdinburghGillespie, R.P. (Glasgow) (Presidential address) The problem of Bolza
Heriot-WattZemanian, A.H. (SUNY, on leave at Edinburgh) The Hankel transformation of generalized functions
EdinburghFox, L. (Oxford University Computing Laboratory) How to obtain meaningless numerical answers
StrathclydeCraggs, J.W. (Leeds) Elementary solutions of partial differential equations
Edinburgh(joint with the Edinburgh Mathematical Association)
Skemp, R.R. (Manchester) Psychological foundations of learning mathematics
AberdeenMacbeath, A.M. (Birmingham) Galois theory and modular functions
StirlingHall, P. (Cambridge) Some advances and retreats in the study of simple groups
St AndrewsRankin, R.A. (Glasgow) Designs

1969-70

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EdinburghSchlapp, R. (Edinburgh) (Presidential address) Aspects of dynamical stability
GlasgowGodwin, H.J. (Swansea) Work on Euclid's algorithm
EdinburghCarter, R.W. (Warwick) Geometrical structures associated with simple groups of Lie type
EdinburghMackie, A.G. (Edinburgh) Some pure and applied mathematical problems on the borders of particle and continuum mechanics
EdinburghWhite, A.J. (Aberdeen) The structure semigroup of a measure algebra
DundeeEells, J. (Warwick) Fredholm structures
AberdeenBritton, J.L. (Kent) Recent results on the Burnside problem
St AndrewsWall, C.T.C. (Liverpool) Transversality

1970-71

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EdinburghHunter, J. (Glasgow) (Presidential address) Some thoughts on Fermat's Last Theorem
StrathclydeJeffrey, A. (Newcastle) Dispersion in non-linear waves
EdinburghReeve, J.E. (King's College London) Some reflections on the cubic curve
Heriot-WattLapwood, E.R. (Cambridge) The earth as a giant bell
EdinburghJack, H. (Dundee) Integrals of functions of matrix argument
DundeeSmith, C.A.B. (University College London) Genetics, evolution and some related and unrelated mathematics
StirlingThompson, J.G. (Cambridge) Finite simple groups - some special cases
EdinburghBrauer, R. (Harvard) (Hardy Lecturer) Some problems in the theory of finite groups
St AndrewsKingman, J.F.C. (Oxford) Markov transition functions

1971-72

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EdinburghEveritt, W.N. (Dundee) (Presidential address) A return to an inequality in Hardy, Littlewood and Polya
GlasgowJohnson, B.E. (Newcastle-upon-Tyne) Amenable algebras
EdinburghMoffatt, H.K. (Cambridge) Knotted vortex lines - the clue to dynamo action
EdinburghSchwarzenberger, R.L.E. (Warwick) Topological problems in mathematical crystallography
Heriot-WattAitchison, J. (Glasgow) Hippocratic school geometry
DundeeArscott, F.M. (London) Orthogonal polynomials in several variables
AberdeenHowie, J.M. (St Andrews) Products with amalgamation in groups, rings and semigroups
StirlingSmithies, F. (Cambridge) Semigroups of linear operators

1972-73

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EdinburghErdélyi, A. (Edinburgh) (Presidential address) Singular perturbations
StrathclydeKnops, R.J. (Heriot-Watt) Qualitative behaviour in the theory of elasticity
EdinburghRobson, J.C. (Leeds) The language of noetherian rings
Heriot-WattFletcher, R. (Dundee) Exact penalty functions - the philosopher's stone
EdinburghMacIntyre, A.J. (Aberdeen) Isomorphism theorems in model theory
StirlingWhittle, P. (Cambridge) Optimal stopping problems
AberdeenHalmos, P.R. (Indiana) Non-commutative approximation theory
St AndrewsRado, R. (Reading) Families of sets
EdinburghRota G.-C. (MIT) (Hardy Lecturer) Enumeration and the calculus of finite differences

1973-74

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EdinburghCollins, W.D. (Strathclyde) (Presidential address) Time optimal control of a crane
GlasgowNash-Williams, C.St.J.A. (Aberdeen) Some recent milestones in graph theory
EdinburghMeldrum, J.D.P. (Edinburgh) Near-rings and groups
EdinburghRobinson, P.D. (Bradford) Dual variational principles and Padé-approximant bounds
EdinburghRobinson, D.J.S. (Illinois at Urbana-Champaign) Splitting theorems and the vanishing of certain cohomology groups
DundeeWilkinson, J.H. (National Physical Laboratory) How small is zero? A central problem in numerical analysis
AberdeenAllan, G.R. (Cambridge) Integral formulae in several complex variables
St AndrewsBenjamin, T. Brooke (Essex) Modern mathematics and mechanics

1974-75

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EdinburghHowie, J.M. (St Andrews) (Presidential address) Varieties
StrathclydeSibson, R. (Cambridge) Metrics and distances
EdinburghMirrlees, J.A. (Oxford) The mathematical economics of taxation and punishment
Heriot-WattTaylor, J.G. (King's College, London) Black holes and gravity
EdinburghDuncan, J. (Stirling) Cauchy and Banach
DundeeMorton, K.W. (Reading) Finite difference and finite element methods
StirlingRees, E.G. (Oxford) When are two maps homotopic?
St AndrewsHigman, G. (Oxford) Infinite simple groups

1975-76

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EdinburghKnops, R.J. (Heriot-Watt) (Presidential address) Non-linear elasticity
GlasgowMitchell, A.R. (Dundee) The finite element method - success or failure
EdinburghWall, G.E. (Sydney) The functional equation of the exponential function in non-commutative variables
Newcastleupon-Tyne (Joint meeting with the LMS) 
Erdélyi, A. (Edinburgh) Integral transforms of generalized functions
Brown, G. (New South Wales) Convolutions of measures
EdinburghStreater, R.F. (Bedford College, London) Classical and quantum probability
DundeeColton, D.L. (Glasgow) Integral operators and partial differential equations
AberdeenLedermann, W. (Sussex) Schur's multiplier
StirlingRobertson, S.A. (Southampton) Mobility in classical geometry and in categories

1976-77

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EdinburghWallace, D.A.R. (Strathclyde) (Presidential address) Polynomials and group rings
StrathclydeJones, D.S. (Dundee) Aerodynamic noise
EdinburghBlyth, T.S. (St Andrews) Residuated mappings
Heriot-WattRingrose, J.R. (Newcastle-upon-Tyne) Recent developments in operator algebras
EdinburghTaylor, S.J. (Lancaster) Small sets in potential theory and probability
StirlingRichardson, R.W. (Durham) An application of the Serre conjecture to semisimple algebraic groups
AberdeenRoach, G.F. (Strathclyde) Multiparametric problems
St AndrewsGreen, J.A. (Warwick) Modular representations

1977-78

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EdinburghBonsall, F.F. (Edinburgh) (Presidential address) Operator representations and analogies
EdinburghPowell, M.J.D. (Cambridge) Numerical methods for nonlinear constraints in optimization calculations
GlasgowBall, J.M. (Heriot-Watt) Compensated compactness
EdinburghWilliamson, J.H. (Reading) IN groups, SIN groups, and some others
EdinburghGoldie, A.W. (Leeds) Some recent developments in non-commutative ring theory
DundeeMartin, D. (Glasgow) Black holes
AberdeenRankin, R.A. (Glasgow) Differences between primes: a survey
St AndrewsRose, J.S. (Newcastle-upon-Tyne) Some naive approaches to the problem of group extensions

1978-79

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EdinburghSands, A.D. (Dundee) (Presidential address) Radicals of rings
StrathclydeMcLeod, J.B. (Oxford) The Korteweg-de Vries equation and connection problems for ordinary differential equations
Edinburgh(meeting held in memory of the late Professor Arthur Erdélyi)
Sneddon, I.N. (Glasgow) Some aspects of the life and work of Arthur Erdélyi
Newcastleupon-Tyne (Joint meeting with the LMS) 
Wassermann, A.S. (Glasgow) Classes of well-behaved C*-algebras
Atiyah, M.F. (Oxford) The Yang-Mills equations, Morse theory and the Weil conjectures
Heriot-WattNeumann, P.M. (Oxford) A problem of nineteenth century group theory
DundeeChadwick, P. (East Anglia) Continuum theories of rubber like solids
StirlingBollobás, B. (Cambridge) The structure of graphs
St AndrewsDynkin, E.B. (Cornell) (Hardy Lecturer) Time-reversibility of stochastic processes and duality in probability theory and analysis

1979-80

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EdinburghRankin, R.A. (Glasgow) (Presidential address) The Edinburgh Mathematical Society - the first fifty years
StirlingCameron, P.J. (Oxford) Multiple transitivity in graphs
EdinburghBeardon, A.F. (Cambridge) Negative curvature and complex analysis
EdinburghWiegold, J. (University College, Cardiff) Problems about generating simple groups
EdinburghSutherland, W.A. (Oxford) Manifolds and bundles: an expository talk
DundeeEdmunds, D.E. (Sussex) Spectral asymptotics
AberdeenSleeman, B.D. (Dundee) Non-well posed problems for the wave equation
GlasgowPenrose, R. (Oxford) Several complex variable theory and theoretical physics: some new developments

1980-81

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EdinburghBlyth, T.S. (St Andrews) (Presidential address) Pseudocomplements
StrathclydeChillingworth, D.R.J. (Southampton) Loss of stability, bifurcation and a topological index
EdinburghMacdonald, I.G. (Queen Mary College, University of London) The Baker-Campbell-Hausdorff formula
Heriot-WattLance, E.C. (Leeds) K-theory in geometry, algebra and analysis
EdinburghWoodall, D.R. (Nottingham) How to divide a cake fairly
StirlingAdams, J.F. (Cambridge) Triviality, Spin(8) , F4, the Cayley projective plane and all that
AberdeenFraenkel, L.E. (Sussex) Dirichlet's principle and the Sobolev space w12 : a meeting ground of pure and applied mathematics
St AndrewsGarling, D.J.H. (Cambridge) Complex convexity
EdinburghBombieri, E. (Princeton) (Hardy Lecturer) Minimal submanifolds and variational problems

1981-82

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EdinburghDuncan, J. (Stirling) (Presidential address) Semi-group algebras
GlasgowWilliams, D. (Swansea) Wiener-Hopf factorization of matrices and operators
EdinburghLambert, J.D. (Dundee) Numerical analysis - an extension of the calculus?
"Calculus is the art of setting up and solving differential equations; this is how it originated, and this is what it is about": Lipman Bers

EdinburghSinclair, A.M. (Edinburgh) Wiener's Tauberian theorem and the Gaussian semigroup
EdinburghUrsell, F.J. (Manchester) Uniform asymptotics of integrals
DundeeYoung, N.J. (Glasgow) Power transfer and the non-Euclidean geometry of operators
AberdeenNorthcott, D.G. (Sheffield) Familiar and unfamiliar aspects of linear algebra
St AndrewsStewart, I.N. (Warwick) Hopf bifurcation writ large

1982-83

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EdinburghRoach, G.F. (Strathclyde) (Presidential address) Modified Green's functions and null field methods
StrathclydeChurchhouse, R.F. (Cardiff) The (re-) discovery and (new) proof of two continued fractions of the Rogers-Ramanujan type
EdinburghPack, D.C. (Strathclyde) Complementary variational principles and the estimation of flux
Edinburgh New Senate Hall (The Centenary Meeting and Dinner) 
Atiyah, M.F. (Oxford) Angular momentum, convex polyhedra and algebraic geometry
Heriot-WattDales, H.G. (Leeds) Application of complex analysis to real problems
DundeeStuart, C.A. (Lausanne) The range of some non-linear differential equations
StirlingDevlin, K.J. (Lancaster) Do mathematicians have GUTS (or what is the connection between very large sets and metric spaces) ?
St AndrewsLennox, J.C. (Cardiff) Grigorchuk's elementary solution of the generalised Burnside problem
EdinburghTits, J. H. (Collège de France, Paris) (Hardy lecturer) The Leech lattice

1983-84

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EdinburghMackie, A.G. (Edinburgh) (Presidential address) A contour integral equation
GlasgowSharp, R.Y. (Sheffield) Local rings and generalized fractions
EdinburghSewell, M.J. (Reading) A unified approach to maximum and minimum principles
EdinburghSeries, C.M. (Warwick) From Eudoxus to Thurston: continued fractions, lunar cycles and train tracks
DundeeCollins, D.J. (Queen Mary College, London) From topology to groups to graphs
Newcastleupon-Tyne (Joint meeting with the LMS)
Segal, G.B. (Oxford) Loop groups
Størmer, E. (Oslo) Involutive antiautomorphisms of von Neumann algebras
StirlingClenshaw, C.W. (Lancaster) Beyond floating point: arithmetic with large numbers
AberdeenAnderson, I. (Glasgow) Some recent combinatorial inequalities

1984-85

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EdinburghAdamson, I.T.A.C. (Dundee) (Presidential address) Not quite linear
StrathclydeBenjamin, T. Brooke (Oxford) Advantages of Hamiltonian theories in continuum mechanics
EdinburghMaclachlan, C. (Aberdeen) Volumes of hyperbolic manifolds
Heriot-WattBrown, K.A. (Glasgow) Noetherian rings twenty-five years after Goldie's theorem
EdinburghBaker, C.T.H. (Manchester) Structure in the numerical solution of Volterra integral equations
StirlingMoon, J.W. (Alberta) Random trees and river networks
AberdeenRees, E.G. (Edinburgh) Algebraic varieties of matrices
St AndrewsRand, D.A. (Warwick) Universality and chaos in dynamical systems
EdinburghBott, R.H. (Harvard) (Hardy Lecturer) What is an instanton?

1985-86

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EdinburghMunn, W.D. (Stirling) (Presidential address) Inverse semigroups
GlasgowMurray, J.D. (Oxford) Pattern formation mechanisms in developmental biology: analysis and applications
EdinburghArchbold, R.J. (Aberdeen) Kaplansky's Stone-Weierstrass conjecture
EdinburghFletcher, R. (Dundee) Expected conditioning
EdinburghEells, J. (Warwick) The geometry of Coulomb gauge fields
DundeeWhiteman, J.R. (Brunel) Finite-element methods, including superconvergence, for problems involving singularities
AberdeenMoffatt, H.K. (Cambridge) The Euler equations of fluid flow - a variational problem under topological constraints
St AndrewsRobson, J.C. (Leeds) Projective modules and simple rings

1986-87

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EdinburghHubbuck, J.R. (Aberdeen) (Presidential address) H-multiplications on Cartesian products
StrathclydeCrighton, D.G. (Cambridge) Acoustics, asymptotics and applied mathematics
EdinburghBiggs, N.L. (Royal Holloway and Bedford New College) Regular trees and their quotients
Heriot-WattRipley, B.D. (Strathclyde) Pseudorandomness: some unexpected applications of number theory
DundeeBruce, J.W. (Newcastle upon Tyne) Whatever happened to calculus?
StirlingHeath-Brown, R. (Oxford) Arithmetic progressions in integer sets
Edinburgh(Joint meeting with the LMS)
Davies, E.B. (London) Heat kernel bounds for Laplace-Beltrami operators and subelliptic operators on manifolds
Stein, E.M. (Princeton) Harmonic analysis on nilpotent groups
Christ, M. (California, Berkeley) Particularly singular integrals and a ∂- problem
Davie, A.M. (Edinburgh) Fourier analysis of dynamical systems
Varpoulos, N.Th. (Paris) Dirichlet forms on Lie groups
St AndrewsSegal, D. (Oxford) On counting subgroups of finite index, and some rational Poincaré series
EdinburghRabin, M. (Harvard) (Hardy Lecturer) Randomized algorithms in number theory

1987-88

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EdinburghHeywood, P. (Edinburgh) (Presidential address) Ap conditions in harmonic analysis
GlasgowPritchard, A.J. (Warwick) The distance of a stable matrix from the set of unstable ones
EdinburghKendall, W.S. (Strathclyde) Symbolic computation, Ito calculus and the statistics of shape
EdinburghOgden, R.W. (Glasgow) Bifurcation phenomena in non-linear elasticity
EdinburghFalconer, K.J. (Bristol) Fractals: some recent theory and applications
DundeeHall, G.S. (Aberdeen) Geometry and symmetry in relativity theory
StirlingAllenby, R.B.J.T. (Leeds) Residual properties of 1-relator groups and 1-relator products
AberdeenDonaldson, S.K. (Oxford) Quasiconformal 4-manifolds

1988-89

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EdinburghMoss, R.M.F. (Stirling) (Presidential address) Homotopy groups of spheres
StrathclydeGibbon, J.D. (Imperial College, London) Global attractors and low-dimensional behaviour of partial differential equations
EdinburghCarter, R.W. (Warwick) Kac-Moody algebras
Heriot-WattPercival, I.C. (Queen Mary College, London) Chaos in Hamiltonian systems
EdinburghTruman, A. (University College, Swansea) Stochastic mechanics and quantum mechanics
StirlingMilner, A.J.R.G. (Edinburgh) An algebraic theory of communicating automata
AberdeenCoates, J. (Cambridge) Iwasawa theory
St AndrewsGillespie, T.A. (Edinburgh) The transfer of inequalities in analysis
EdinburghJones, V.F.R. (Berkeley) (Hardy Lecturer) Braid group representations in quantum physics

1989-90

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EdinburghSleeman, B.D. (Dundee) (Presidential address) Biological complexity and Hamiltonian dynamics
GlasgowLyons, T.J. (Edinburgh) Brownian motion and stochastic differential equations
EdinburghLions, P.-L. (Paris-Dauphine) Recent mathematical results on the Maxwell-Boltzmann equation and related kinetic models
EdinburghLeedham-Green, C.R. (Queen Mary College, London) A geometrical structure theorem for finite p-groups
EdinburghGibson, C.G. (Liverpool) Geometry of robotics
DundeeMay, R.M. (Oxford) The transmission dynamics of HIV/AIDS
AberdeenQuillen, D.G. (Oxford) Index theory, circle actions and cyclic cohomology
St AndrewsHowie, J. (Heriot-Watt) An algorithmic approach to solving equations over groups

1990-91

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EdinburghBall, J.M. (Heriot-Watt) (Presidential address) Layers within layers - the calculus of variations and crystal microstructure
StrathclydeKörner, T.W. (Cambridge) Molehills out of mountains
NapierOckendon, J.R. (Oxford) Free boundary problems in crystal growth and superconductivity
Heriot-WattCornwell, J.F. (St Andrews) Quantum groups
EdinburghMadsen, I. (Aarhus) The cyclotomic trace and diffeomorphisms of manifolds
DundeeSpence, A. (Bath) Stable matrices and Hopf bifurcations in large systems, with applications to problems in fluid mechanics
StirlingBailey, R. (Goldsmiths' College, London) Latin cubes
St AndrewsMorris, A.O. (Aberystwyth) Schur's Q-functions and their applications
EdinburghBlaine Lawson, H. (Stony Brook) (Hardy Lecturer) Manifolds of positive curvature

1991-92

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EdinburghRees, E.G. (Edinburgh) (Presidential address) Evolutes, focal sets, and Morse theory
GlasgowPreiss, D. (University College, London) New results in classical geometric measure theory
EdinburghOdoni, R.W.K. (Glasgow) Monogenic rings of integers
Edinburgh(Joint meeting with ICMS, Edinburgh)
Mitchell, A.R. (Dundee) Attractors in long time numerical solutions of nonlinear systems
James, R.D. (University of Minnesota) Paper folding and the microstructure of crystals
EdinburghKropholler, P.H. (Queen Mary and Westfield College) Bounded cohomology
DundeeInstitute of Technology
Lacey, A.A. (Heriot-Watt University) Blow-up for reaction-diffusion equations
StirlingGrimmett, G.R. (Bristol) Large deviations, and the method of bounded differences
AberdeenBerry, M.V. (Bristol) Divergent series: reaping Dingle's harvest

1992-93

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EdinburghLickorish, W.B.R. (Cambridge) The Temperley-Lieb algebra and (quantum) invariants for 3-manifolds
StrathclydeToland, J.F. (Bath) An extraordinary bifurcation of large amplitude homoclinic orbits for Hamiltonian systems
GlasgowPride, S.J. (Glasgow) Using pictures to study groups and semigroups
Heriot-WattBullett, S.R. (Queen Mary and Westfield College) Geometry and topology of iterated correspondences
EdinburghRansford, T.J. (Cambridge) Hausdorff dimension of Julia sets
StirlingTitterington, D.M. (Glasgow) A statistician's perception of perceptrons (neural networks)
AberdeenMacIntyre, A.J. (Oxford) Logic and real analytic functions
St AndrewsDuff, I.S. (Rutherford Appleton Laboratory & C.E.R.F.A.C.S.) Solution of symmetric, indefinite, sparse, linear equations
EdinburghFeit, W. (Yale) (Hardy Lecturer) The existence of algebraic number fields with given Galois group and maximal subfields of division rings
Edinburgh(EMS/LMS Popular lectures)
Robertson, S.A. (Southampton) How to see objects in four dimensions
Alexander, R. McN. (Leeds) Optimisation of running and jumping

1993-94

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EdinburghMcBride, A.C. (Strathclyde) (Presidential address) A Celebration of R-L Int.
GlasgowSchofield, A.H. (Bristol) Ore localisation and universal localisation
NapierDrazin, P.G. (Bristol) Hydrodynamic stability
EdinburghWilson, R.J. (Open University) Edge-colourings of graphs
EdinburghGiblin, P.J. (University of Liverpool) Shape, symmetry and grasp
DundeeLloyd, N.G. (Aberystwyth) Polynomial differential equations: Hilbert's sixteenth problem
AberdeenWard, R.S. (University of Durham) Discrete Sine-Gordon solitons
St AndrewsWainger, S. (University of Wisconsin) Lebesgue's theorem on the derivative of the integral, Fourier transforms, and some nilpotent Lie groups
Edinburgh(EMS/LMS Popular lectures)
Pinch, R.G. (Cambridge) Fermat's last theorem
Wright, C. (Solipsys Limited) Juggling

1994-95

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EdinburghZeeman, E.C. (Hertford College, Oxford) Controversies in Mathematics; on the ideas of Daniel Bernoulli and René Thom
StrathclydeElgin, J.N. (Imperial College, London) Perturbations of optical solitons
EdinburghMcDuff, D. (SUNY at Stony Brook) The geometry of symplectic energy
Heriot-WattOckendon, H. (University of Oxford) The changing face of mathematics in industry
EdinburghDunwoody, M.J. (University of Southampton) Ends of graphs and groups
AbertayWood, A.D. (Dublin City University) Stokes phenomenon demystified
StirlingMcDiarmid, C.J.H. (University of Oxford) Random graph colouring
St AndrewsBerger, M.A. (University College, London) Topological invariants of vector fields
EdinburghParthasarathy, K.R. (Indian Statistical Institute, Delhi) (Hardy Lecturer) What is a quantum Markov process?
Edinburgh(EMS/LMS Popular lectures)
Saunders, P.T. (King's College, London) Measuring the Marigold
Ray, N. (Manchester) Wild Geometry

1995-96

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EdinburghCraik, A.D.D. (St Andrews) (Presidential address) Tradition and innovation: Scottish mathematics of the early 19th Century
GlasgowReid, A.W. (Cambridge) p-adic Lie groups in low-dimensional topology
EdinburghWelsh, D.J.A. (Oxford) Polynomials of knots, colourings and codes and their complexity
EdinburghLangley, J.K. (Nottingham) Value distribution of meromorphic functions and some connections with iteration
DundeeCarr, J. (Heriot-Watt) Self-similarity in coarsening models
StirlingRippon, P.J. (Open University) Some geometric properties of quadratic Julia sets
Glasgow(Joint meeting with London Mathematical Society)
Pin, J.-E. (Paris VI, LITP and CRNS) Automata, finite semigroups and the Hall topology for the free group
Maclachlan, C. (Aberdeen) Bianchi groups and quadratic forms
Lubotsky, A. (Jerusalem) Subgroup growth: the gap problem
Goodearl, K.R. (Santa Barbara) Some geometric aspects of quantum coordinate rings
Rickard, J. (Bristol) Infinite-dimensional representations of finite groups
Levitt, G. (Toulouse) Elements of finite order in GL(n, Z) and the dynamics of free group automorphisms
AberdeenHitchin, N.J. (Cambridge) Theta functions and Riemannian geometry
Glasgow(EMS/LMS Popular lectures)
Hilton, P.J. (SUNY) New wine in old bottles
Sewell, M.J. (Reading) Bubbles and dinosaurs

1996-97

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EdinburghAtiyah, M.F. (Trinity College, Cambridge) Duality in Mathematics and Physics
StrathclydeBudd, C.J. (Bath) New types of bifurcations in non-smooth problems
NapierRees, S.M. (Liverpool) Some group actions on the circle
EdinburghNewell, A.C. (Warwick) The description of natural patterns
EdinburghPower, S.C. (Lancaster) Towers of finite-dimensional algebras
StirlingThomason, A.G. (Cambridge) Ramsey's Theorem - then and now
AberdeenJohnson, B.E. (Newcastle-upon-Tyne) Crossed homomorphisms and group actions in topological spaces
St AndrewsLaffey, T.J. (University College, Dublin) The inverse eigenvalue problem for matrices with nonnegative entries
Edinburgh(EMS/LMS Popular lectures)
Atkinson, M.D. (St Andrews) Staying ahead of the opposition
Kent, J.T. (Leeds) How to study random shapes

1997-98

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EdinburghSmith, P.F. (Glasgow) (Presidential address) Division algebras and Forfar
GlasgowRoe, J. (Oxford) Products in K-theory and K-homology
Heriot-WattGowers, W.T. (Cambridge) Arithmetic progressions of length four
EdinburghHinch, E.J. (Cambridge) A load of balls in Newton's cradle
EdinburghMendes-France, M. (Bordeaux) Thermodynamics of curves and real zeros of polynomials
DundeeIserles, A. (Cambridge) The numerical analysis of differential equations on manifolds
AberdeenBridson, M.R. (University of Oxford) The geometry of word problems in groups
St AndrewsHawkes, T.O. (Warwick) Some reflections on character tables
Strathclyde(LMS/EMS Popular Lectures)
Körner, T.W. (Cambridge) Marrying, Voting, Choosing
Pedley, T.J. (Cambridge) Giraffe Blood Flow and Pattern-forming Bacteria

1998-99

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EdinburghTrefethen, L.N. (Oxford University Computing Laboratory) Schwarz-Christoffel mapping in the computer era
StrathclydeAbrahams, I.D. (Manchester) Matrix Wiener-Hopf factorization with applications in fluid and solid mechanics
NapierBrezinski, C. (Lille) A historical survey of convergence acceleration methods and Padé approximation
EdinburghPartington, J.R. (Leeds) Convolutions and complexity
EdinburghJames, G.D. (Imperial College) Symmetric groups and related algebras
AbertaySherratt, J. (Heriot-Watt University) Painting by numbers in biology: mathematical modelling of pattern formation
StirlingJackson, W. (Goldsmith's College) Applications of graph connectivity to network reliability
EdinburghMcDuff, D. (SUNY at Stonybrook) (Hardy Lecturer) A survey of symplectic topology
AberdeenRendall, A. (Max Planck Institut, Potsdam) Blow-up singularities in solutions of hyperbolic PDE's and their significance for general relativity
Glasgow(LMS/EMS Popular Lectures)
Berkshire, F. (Imperial College) Floating, Spinning, Tumbling
Series, C.M. (Warwick) Tangent Circles - Patterns and Packings

1999-00

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EdinburghMaclachlan, C. (Aberdeen) (Presidential address) Hyperbolic 3-manifolds and arithmetic
GlasgowBardos, C. (Paris) Deterministic approach to the limit of a large reversible system
Heriot-WattVassiliev, D. (Bath) The Dirac equation without spinors
EdinburghAinsworth, M. (Strathclyde) Fundamental systems of numerical schemes for linear convection-diffusion equations and their relationship to accuracy
EdinburghTillmann, U.L. (Oxford) The moduli space of Riemann surfaces - a homotopy approach
DundeeMaini, P.K. (Oxford) Chemotaxis as a model pattern generator: applications to snakes, slime, mould, alligators and chickens
StirlingMcKee, J.F. (Oxford) Pisot numbers with negative trace
St AndrewsMargulis, G.A. (Yale) Diophantine approximation, lattices and flows on homogeneous spaces
Strathclyde(LMS Popular Lectures)
Barrow, J. (Cambridge) Simplicity and complexity
Falconer, K.J. (St Andrews) Fractals - the New Geometry

2000-01

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EdinburghKauffman, L.H. (University of Illinois at Chicago) Virtual knot theory
StrathclydeGriffiths, D.F. (Dundee) Mixed finite element methods, stability and related issues
NapierLight, W.A. (Leicester) Approximating scattered data with radial basis functions
EdinburghEtheridge, A.M. (Oxford) Grasshoppers everywhere: evolution in spatially continuous populations
EdinburghDonkin, S. (Queen Mary & Westfield College, London) Symmetric and exterior powers
AberdeenMorton, H.R. (Liverpool) Skein theory and the Murphy operators
StirlingHill, R. (Salford) Codes, Lies and Videotape
EdinburghDiaconis, P. (Stanford) (Hardy Lecturer) An introduction to random matrix theory
St AndrewsBrezis, H. (Université Pierre et Marie Curie, Paris VI) New thoughts on Sobolev spaces: connections to topology
Strathclyde(EMS/LMS Popular Lectures)
Budd, C.J. (Bath) Simulating the world
Cameron, P.J. (Queen Mary & Westfield) Codes

2001-02

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EdinburghHowie, J. (Heriot-Watt) (Presidential address) Group theory and three-dimensional manifolds
GlasgowCrawley-Boevey, W.W. (Leeds) Counting representations of quivers
Heriot-WattChaplain, M.A.J. (Dundee) Aspects of cancer growth: mathematical modelling, mutations and metastases
EdinburghLeader, I.B. (Cambridge) Discrete isoperimetric inequalities
EdinburghWiggins, S.B. (Bath) Arnold diffusion
DundeeSuli, E. (Oxford) Finite element approximation of partial differential equations: stability, accuracy, adaptability
AberdeenNotbohm, D. (Leicester) On the homotopy theory of classifying spaces
EdinburghIts, A. (Purdue) (LMS Hardy Lecture) Asymptotics of orthogonal polynomials, the Riemann-Hilbert problem and universality in matrix models
St AndrewsStallard, G.M. (Oxford) Dimensions of Julia sets
Strathclyde(EMS/LMS Popular Lectures)
Mason, H. (Cambridge) Our dynamic sun
Silvester, J. (King's College, London) Geometry Ancient & Modern

2002-03

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Edinburghvan Lint, J.H. (Technical University of Eindhoven) Recent applications of coding theory
StrathclydeStuart, A.M. (Warwick) Stochastic behaviour of deterministic systems
NapierDritschel, D.G. (St Andrews) Intertwining mathematics and numerics in the simulation of atmospheric and oceanic fluid dynamics
EdinburghDavenport, J.H. (Bath) Recent developments in cryptographic number theory
StirlingJerrum, M.R. (University of Edinburgh) Computing the permanent: a study in Markov chain Monte Carlo
AbertayToland, J.F. (University of Bath and ICMS Edinburgh) Linking in the calculus of variations
Edinburgh(joint with the British Society for the History of Mathematics)
Searl, J.W. (Edinburgh) Where do ideas come from?
Mason, H. (Madras College, St Andrews) J.E.A. Steggall: teaching mathematics 1880-1933
Neumann, P.M. (The Queen's College, Oxford) A discourse concerning algebra: finite fields in nineteenth century algebra
Stedall, J. (The Queen's College, Oxford) A discourse concerning algebra: John Wallis (1616-1703) and seventeenth century algebra
AberdeenSkorobogatov, A. (Imperial) On the Hasse principle for curves and surfaces
Edinburgh(Joint meeting with LMS as part of ICMS Hodge Centenary Conference)
Atiyah, M.F. (Edinburgh) Sir William Hodge - the man and the mathematician
Penrose, R. (Oxford) Mathematical experiences as a Cambridge research student under William Hodge
Hirzebruch, F. (Bonn) Hodge numbers, Chern numbers, Catalan numbers

2003-04

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EdinburghGillespie, T.A. (Edinburgh) (Presidential address) Variations on Hilbert's matrix
GlasgowRees, S.E. (Newcastle) The fable of the hare and the tortoise; a race between word hyperbolic and nilpotent groups
Heriot-WattSloan, D.M. (Strathclyde) On norms of inverses of pseudospectral differentiation matrices
EdinburghKropholler, P.H. (Glasgow) Classifying spaces for proper group actions
EdinburghHambly, B.M. (Oxford) Directed percolation, queues and random matrices
DundeeStark, J. (Imperial) T-cell Fratricide, Homeostasis and HIV
StirlingWoodall, D.R. (Nottingham) Paradoxes of preferential voting
EdinburghTao, T. (University of California Los Angeles) (Hardy Lecturer) Honeycombs and sums of Hermitian matrices
St AndrewsThomas, R.M. (Leicester) Groups and formal languages

2004-05

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EdinburghRoe, J. (Penn State University) Manifolds of bounded geometry
StrathclydeGraham, I.G. (Bath) Boundary element methods: analysis of accuracy & complexity
NapierGraves-Morris, P.R. (Bradford) The parameterisation of resonances
EdinburghZuazua Iriondo, E. (Universidad Autónoma de Madrid) Control: theory and numerics
EdinburghGreen, B.J. (Bristol) Linear equations in the primes: recent progress and future prospects
AberdeenReid, M. (Warwick) Diptych varieties and CC* covers of Mori flips of type A
StirlingKeating, J.P. (Bristol) Random Matrix Theory and the Riemann Zeta Function
St AndrewsPollicott, M. (Warwick University, visiting Porto) Guessing the size of fractal sets

2005-06

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EdinburghRowlinson, P. (Stirling) (Presidential address) Star complements in finite graphs
GlasgowLiebeck, M. (Imperial College) Probabilistic group theory and Fuchsian groups
Heriot-WattLeimkuhler, B. (Leicester) Molecular dynamics in and out of equilibrium
EdinburghByrne, H.M. (Nottingham) Multiscale modelling of solid tumour growth
EdinburghGoldberg, L.A. (Warwick) Markov chains and sampling graph colourings
DundeeHigham, N.J. (Manchester) Four theorems in matrix analysis, with applications
AberdeenRobertson, A.G. (Newcastle) Trees, buildings and boundaries
St AndrewsGeck, M. (Aberdeen) Canonical bases in representation theory
EdinburghManin, Y. (Max Planck Institute, Bonn) (Hardy Lecturer) Iterated integrals of modular forms and non-commutative modular symbols

2006-07

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EdinburghCarbery, A. (Edinburgh) How much mass can you put into space without there being too much in any tube, and why do we care?
StrathclydeWathen, A. (Oxford) Matrix iterations and saddle-point systems: from optimization to Navier-Stokes and back
Heriot-WattGrebogi, C. (Aberdeen) Chaotic dynamics and modelling
EdinburghBridgeland, T. (Sheffield) Quivers and surface singularities
EdinburghBall, K.M. (University College, London) From monotone transportation to geometry and probability
DundeeSandstede, B (Surrey) Dynamics of nonlinear waves
StirlingProctor, M.R.E. (Cambridge) Instabilities of patterns induced by strong spatial resonances
AberdeenChuang, J. (Bristol) Rhombus tilings and tiltings

2007-08

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EdinburghCampbell, C.M. (St Andrews) (Presidential address) Presentations galore
GlasgowStuart. C.A. (Ecole Polytechnique Fédérale de Lausanne) Buckling and bifurcation
StrathclydeJimack P.K. (Leeds) Multigrid and nonlinear systems of PDEs
EdinburghKirwan, F. (Oxford) Non-reductive group actions and symplectic implosion
Edinburgh(125th Anniversary Meeting)
Taylor, M.J. (Manchester) Aspects of Galois theory in arithmetic geometry
Toland, J.F. (Bath) A relaxed approach to optimization with geometric constraints
DundeeStevens, A. (Max Planck Institute, Leipzig) Mathematical analysis of pattern formation: Turing mechanisms vs local interaction in developing cell systems
AberdeenRanicki, A.A. (Edinburgh) The Poincaré duality theorem and its converse
St AndrewsParker, C.W. (Birmingham) Characterizations of simple groups
EdinburghWeinberger, S. (University of Chicago and Hebrew University) (Hardy Lecturer) Playing the Novikov game

2008-09

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EdinburghRicci, F. (Scoula Normale Superiore, Pisa) Uncertainty inequalities and semigroups
GlasgowHess, K. (Lausanne) Free loop spaces in topology and physics
Edinburgh(Joint EMS/LMS meeting)
Valette, A. (Neuchâtel) The Haagerup property and its stability properties
Zelmanov, E. (UC San Diego) Asymptotic properties of finite groups and finite dimensional algebras
Bartholdi, L. (Göttingen) Automatically presented groups
Bridson, M.R. (Oxford) Dimension, rigidity and fixed point theorems
Heriot-WattFraenkel, L.E. (Bath) On the increase in asymmetry of capacity, surface area and the like
EdinburghLinton, C.M. (Loughborough) Three astronomical anniversaries
DundeeRicca, R. (University of Milano-Bicocca) Topology bounds the energy of knots and links
StirlingKing, J.R. (Nottingham) Divergent series and the role of exponentially small terms in differential equations
St AndrewsCaranti, A. (Trento) Ciphers and groups

2009-10

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EdinburghArchbold, R.J. (Aberdeen) (Presidential address) Strength of convergence and improper actions of groups
StrathclydeChapman, S.J. (Oxford) Kelly vs Markowitz: a comparison of alternative systems for maximising gain and minimising risk
Heriot-WattBatty, C.J.K. (Oxford) Functional calculus of unbounded operators
EdinburghSnaith, N. (Bristol) (Popular lecture) Hollywood's Hippest Mathematics: random matrices and Riemann zeros
EdinburghTotaro, B.J. (Cambridge) The Hodge conjecture
StirlingDiekmann, O. (Utrecht) On delay equations and population dynamics
AberdeenDrutu, C. (Oxford) On limit spaces and actions of groups [This meeting was cancelled due to travel difficulties caused by volcanic ash]
St AndrewsLackenby, M. (Oxford) Classifying knots via Reidemeister moves
EdinburghNakajima, H. (Kyoto) (Hardy Lecturer) Quiver varieties and cluster algebras

2010-11

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EdinburghKeller, B. (Paris VII) Quiver mutation and quantum dilogarithm identities
StrathclydeCrowdy, D.G. (Imperial College) Function theory in multiply connected domains
GlasgowMaddocks, J.H. (École Polytechnique Fédérale de Lausanne) meeting cancelled due to adverse weather conditions
EdinburghNeunhoffer, M. (St Andrews) (Popular lecture) Sudoku and mathematics
EdinburghTao, T. (UCLA, visiting Newton Institute) Discrete random matrices
DundeeSilvester, D.J. (Manchester) Fast iterative solvers for saddle point problems
AberdeenReiten, I. (Trondheim) Cluster algebras and cluster categories
StirlingGourley, S. (Surrey) Modelling the evolution of insecticide resistance in mosquitoes and effective use of insecticides

2011-12

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EdinburghDavies, P. (Strathclyde) (Presidential address) Numerical approximation of wave scattering problems
GlasgowMaddocks, J.H. (École Polytechnique Fédérale de Lausanne) Optimal packings of tubes, global radius of curvature, and ideal knot shapes
Heriot-WattNiethammer, B. (Oxford) Self-similar solutions for Smoluchowski's coagulation equation
EdinburghOlhede, S. (UCL) Modulated oscillations
EdinburghWright, C. (Solipsys Limited) (Popular lecture) Juggling: theory and practice
DundeePreziosi, L. (Politecnico di Torino) The mathematics of cancer: an overview
AberdeenMonod, N. (École Polytechnique Fédérale de Lausanne) Fixed points and derivations
St AndrewsDehornoy, P. (Caen) Set Theory fifty years after Cohen
EdinburghGhys, E. (Ecole Normale Supérieure de Lyon) (Hardy Lecturer) Monge and optimal transport

2012-13

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EdinburghThomas R. (Imperial College, London) The Göttsche conjecture
StrathclydeCraster, R. (Imperial College, London) Vignettes in Mathematics
Heriot-WattHowison, S. (Oxford) Games with exhaustible resources
EdinburghDonnelly, C. (Imperial College, London) Badger culling and the science led policy challenge
EdinburghBedford, D. (Keele) (Popular lecture) Tales of ants, bricks, bugles, barrels and infinity
DundeeMarciniak-Czochra, A. (Heidelberg) Mathematical models of fitness selection during cell differentiation and stem cell-initiated cancer development
StirlingBritton, N. (Bath) Give him our noses and let him go: modelling interspecific kleptoparasitism
St AndrewsMöller, R. (Reykyavik) Visualizing the shape of a group

2013-14

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EdinburghChaplain, M.A.J. (Dundee) (Presidential address) Cucumber, calculus and cancer: a presidential perspective
StrathclydeRobinson, J. (Warwick) A simple partial differential equation with surprising behaviour
GlasgowSmith, I. (Cambridge) Symplectic topology of Euclidean space
EdinburghMaclagan, D. (Warwick) Geometry of the moduli space of genus zero curves
StirlingCarrillo de la Plata, J.A. (Imperial College) Stability and pattern formation in nonlocal interaction models
EdinburghBarrow, J.D. (Cambridge) (Popular lecture) Maths and sport
AberdeenSniady, P. (Munich) Combinatorics of asymptotic representation theory
St AndrewsLeary, I. (Southampton) Platonic polygonal complexes

2014-15

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EdinburghWooley, T. (Bristol) A translation-invariant perspective on arithmetic (and) harmonic analysis
GlasgowStroppel, C. (Bonn) Classical dualities from a modern perspective
Heriot-WattHairer, M. (Warwick) Taming infinities
EdinburghPintz, J. (Renyi Institute, Budapest) Bounded gaps between primes and some old conjectures of Paul Erdős
EdinburghTokieda, T. (Cambridge) (Popular lecture) Science from a sheet of paper
DundeePerthame, B. (Paris) Mathematical aspects of tumour growth
StirlingBridson, M.R. (Oxford) Curvature, complexity and finite shadows of infinite groups
AberdeenBreuillard, E. (Paris Sud) Heights in Diophantine geometry, entropy and growth of groups
BarcelonaEMS/SCM (Societat Catalana de Matemàtiques) joint meeting
See THIS LINK

2015-16

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ICMS/
Edinburgh
(Presidential address)
Carbery, A. (Edinburgh) Analysis, topology and beyond: a reflective perspective on the teaching-research continuum from Bolzano to Guth and Catz
StrathclydeGerbeau, J-F. (Inria and Sorbonne Universities UPMC) Approximated Lax pairs for nonlinear evolution equations
ICMS/
Edinburgh
(Joint EMS/LMS meeting)
Mathematical aspects of big data:  
Tardos, E. (Cornell) Learning, inference, and efficiency in games
Brodzki, J. (Southampton) Joining the dots: mathematics of data
Diakonikolas, I. (Edinburgh) Algorithmic aspects of inference
Scott, M. (Glasgow) "Size is not all that matters" - scale, variety and complexity of BIG data
Rivin, I. (St Andrews) Zeolites, experimental mathematics, and other potential applications of data science
Coifman, R. (Yale) Harmonic analysis and geometry of databases, concept and context dualities
McDiarmid, C. (Oxford) Random graphs from structured classes
Cartis, C. (Oxford) The power of optimization algorithms - tractability and and scalability for large problems
ICMS/
Heriot-Watt
Saint-Raymond, L. (ENS Paris / Harvard) Linear fluid models as scaling limits of interacting systems of particles
EdinburghTwarock, R (York) (Popular lecture) Geometry: a secret weapon in the fight against viruses
DundeeLe Bris, C. (Ecole des Ponts and Inria, Paris) Modern materials science: mathematical theory and computational approaches
AberdeenEilers, S. (Copenhagen) The complete classification of Cuntz-Krieger algebras
St AndrewsZähle, M. (Jena) Geometry past and present - a stroll through curved spaces

2016-17

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ICMS/
Edinburgh
Pach, J (Renyi Inst. Budapest and EPFL Lausanne) Towards a Semi-Algebraic Combinatorics
StrathclydeGraham, I. (Bath) Solving the Helmholtz equation at high frequency
StirlingKratochvil, J. (Charles University, Prague) Geometric Representations of Graphs: Partial Extensions versus Simultaneous Embeddings
EdinburghMonod, N. (EPFL Lausanne) (Popular Lecture) 1+1=1, or the Banach-Tarski paradox
ICMS/
Edinburgh
Buck, D. (Imperial College, London) Knotted DNA: Mathematical Models and Biological Consequences
GlasgowJones, Vaughan (Vanderbilt and Newton Institute) A machine for constructing representations of R. Thompson's groups, unitary and otherwise
St AndrewsJordan, T. (Bristol) Multifractal analysis beyond uniform hyperbolicity
Dundee Ghrist, R. (Pennsylvania) Topological Inference from Data
ICMS/
Edinburgh
EMS/SCM (Societat Catalana de Matemàtiques) joint meeting
See THIS LINK

2017-18

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ICMS/
Edinburgh
(Presidential address)
Strachan, I (Glasgow) Miura maps: from the Union Canal to quotient singularities
St AndrewsVan Heijst, G. (TU Eindhoven) The behaviour of vortex structures near solid obstacles
Heriot-Watt/
ICMS
Schönlieb, C-B. (Cambridge)
Edinburgh/
ICMS
Vega, L. (Basque Country)
Edinburgh(Popular Lecture) Grime, J. (Cambridge)
GlasgowStafford, T. (Manchester)
AberdeenBader, U. (Weitzmann Institute)
StirlingWhite, J. (Bath)


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The URL of this page is:

School of Mathematics and Statistics
University of St Andrews, Scotland
http://www-history.mcs.st-andrews.ac.uk/ems/ems_lecturers.html