The next table shows the number of sources in the GAP bibliography having
different primary and secondary MSC2010 codes in the appropriate categories.
We acknowledge the American Mathematical Society
for the opportunity to use the MathSciNet
database for performing this analysis.
| Primary |
Secondary |
|
|
| 2 |
1 |
|
General |
| 0 |
2 |
|
History and biography |
| 5 |
4 |
|
Mathematical logic and foundations |
| 181 |
78 |
|
Combinatorics |
| 2 |
12 |
|
Order, lattices, ordered algebraic structures |
| 3 |
1 |
|
General algebraic systems |
| 47 |
37 |
|
Number theory |
| 32 |
7 |
|
Field theory and polynomials |
| 10 |
10 |
|
Commutative rings and algebras |
| 46 |
14 |
|
Algebraic geometry |
| 8 |
13 |
|
Linear and multilinear algebra; matrix theory |
| 61 |
36 |
|
Associative rings and algebras |
| 50 |
14 |
|
Nonassociative rings and algebras |
| 10 |
7 |
|
Category theory; homological algebra |
| 6 |
4 |
|
K-theory |
| 799 |
178 |
|
Group theory and generalizations |
| 1 |
8 |
|
Topological groups, Lie groups |
| 1 |
5 |
|
Functions of a complex variable |
| 4 |
2 |
|
Several complex variables and analytic spaces |
| 0 |
2 |
|
Special functions |
| 0 |
3 |
|
Ordinary differential equations |
| 3 |
1 |
|
Partial differential equations |
| 7 |
3 |
|
Dynamical systems and ergodic theory |
| 0 |
1 |
|
Difference and functional equations |
| 2 |
0 |
|
Fourier analysis |
| 0 |
3 |
|
Abstract harmonic analysis |
| 0 |
1 |
|
Integral equations |
| 2 |
3 |
|
Functional analysis |
| 0 |
2 |
|
Operator theory |
| 0 |
1 |
|
Calculus of variations and optimal control; optimization |
| 40 |
24 |
|
Geometry |
| 28 |
20 |
|
Convex and discrete geometry |
| 3 |
4 |
|
Differential geometry |
| 1 |
0 |
|
General topology |
| 10 |
16 |
|
Algebraic topology |
| 35 |
40 |
|
Manifolds and cell complexes |
| 1 |
3 |
|
Global analysis, analysis on manifolds |
| 3 |
6 |
|
Probability theory and stochastic processes |
| 2 |
2 |
|
Statistics |
| 5 |
7 |
|
Numerical analysis |
| 21 |
85 |
|
Computer science |
| 1 |
0 |
|
Mechanics of particles and systems |
| 1 |
0 |
|
Mechanics of deformable solids |
| 8 |
11 |
|
Quantum theory |
| 1 |
4 |
|
Statistical mechanics, structure of matter |
| 4 |
4 |
|
Operations research, mathematical programming |
| 1 |
0 |
|
Game theory, economics, social and behavioral sciences |
| 2 |
1 |
|
Biology and other natural sciences |
| 38 |
26 |
|
Information and communication, circuits |
| 85 |
0 |
|
Thesis |
| 107 |
|
|
MSC codes not assigned |
| 1679 |
|
|
TOTAL |