|
00-XX
|
G
General
|
|
01-XX
|
G
History and biography
[See also the classification number -03 in the other sections]
|
|
03-XX
|
G
Mathematical logic and foundations
|
|
05-XX
|
G
Combinatorics
{For finite fields, see
11Txx}
|
|
06-XX
|
G
Order, lattices, ordered algebraic structures
[See also
18B35]
|
|
08-XX
|
G
General algebraic systems
|
|
11-XX
|
G
Number theory
|
|
12-XX
|
G
Field theory and polynomials
|
|
13-XX
|
G
Commutative rings and algebras
|
|
14-XX
|
G
Algebraic geometry
|
|
15-XX
|
G
Linear and multilinear algebra; matrix theory
|
|
16-XX
|
G
Associative rings and algebras
{For the commutative case, see
13-XX}
|
|
17-XX
|
G
Nonassociative rings and algebras
|
|
18-XX
|
G
Category theory; abstract homological algebra
{See
13Dxx
for commutative rings,
16Exx
for associative rings,
20Jxx
for groups,
57Txx
for topological groups and related structures; see also
55Nxx
and
55Uxx
for algebraic topology}
|
|
19-XX
|
G
$K$-theory
[See also
16E20,
18F25]
|
|
20-XX
|
G
Group theory and generalizations
|
|
22-XX
|
G
Topological groups, Lie groups
{For transformation groups, see
54H15,
57Sxx,
58-XX.
For abstract harmonic analysis, see
43-XX}
|
|
26-XX
|
G
Real functions
[See also
54C30]
|
|
28-XX
|
G
Measure and integration
{For analysis on manifolds, see
58-XX}
|
|
30-XX
|
G
Functions of a complex variable
{For analysis on manifolds, see
58-XX}
|
|
31-XX
|
G
Potential theory
{For probabilistic potential theory, see
60J45}
|
|
32-XX
|
G
Several complex variables and analytic spaces
{For infinite-dimensional holomorphy, see also
46G20,
58B12}
|
|
33-XX
|
G
Special functions {!
33-XX
deals with the properties of functions as functions}
{For orthogonal functions, see also
42Cxx;
for aspects of combinatorics, see
05Axx;
for number-theoretic aspects, see
11-XX;
for representation theory, see
22Exx}
|
|
34-XX
|
G
Ordinary differential equations
|
|
35-XX
|
G
Partial differential equations
|
|
37-XX
|
G
Dynamical systems and ergodic theory
[See also
26A18,
34Cxx,
34Dxx,
35Bxx,
46Lxx,
58Jxx,
70-XX]
|
|
39-XX
|
G
Difference and functional equations
|
|
40-XX
|
G
Sequences, series, summability
|
|
41-XX
|
G
Approximations and expansions
{For all approximation theory in the complex domain, see
30Exx,
30E05
and
30E10;
for all trigonometric approximation and interpolation, see
42Axx,
42A10
and
42A15;
for numerical approximation, see
65Dxx}
|
|
42-XX
|
G
Fourier analysis
|
|
43-XX
|
G
Abstract harmonic analysis
{For other analysis on topological and Lie groups, see
22Exx}
|
|
44-XX
|
G
Integral transforms, operational calculus
{For fractional derivatives and integrals, see
26A33.
For Fourier transforms, see
42A38,
42B10.
For integral transforms in distribution spaces, see
46F12.
For numerical methods, see
65R10}
|
|
45-XX
|
G
Integral equations
|
|
46-XX
|
G
Functional analysis
{For manifolds modeled on topological linear spaces, see
57N20,
58Bxx}
|
|
47-XX
|
G
Operator theory
|
|
49-XX
|
G
Calculus of variations and optimal control; optimization
[See also
34H05,
34K35,
65Kxx,
90Cxx,
93-XX]
|
|
51-XX
|
G
Geometry
{For algebraic geometry, see
14-XX}
|
|
52-XX
|
G
Convex and discrete geometry
|
|
53-XX
|
G
Differential geometry
{For differential topology, see
57Rxx.
For foundational questions of differentiable manifolds, see
58Axx}
|
|
54-XX
|
G
General topology
{For the topology of manifolds of all dimensions, see
57Nxx}
|
|
55-XX
|
G
Algebraic topology
|
|
57-XX
|
G
Manifolds and cell complexes
{For complex manifolds, see
32Qxx}
|
|
58-XX
|
G
Global analysis, analysis on manifolds
[See also
32Cxx,
32Fxx,
46-XX,
47Hxx,
53Cxx]
{For geometric integration theory, see
49Q15}
|
|
60-XX
|
G
Probability theory and stochastic processes
{For additional applications, see
11Kxx,
62-XX,
90-XX,
92-XX,
93-XX,
94-XX}
|
|
62-XX
|
G
Statistics
|
|
65-XX
|
G
Numerical analysis
|
|
68-XX
|
G
Computer science
{For papers involving machine computations and programs in a specific mathematical area, see section -04 in that area}
|
|
70-XX
|
G
Mechanics of particles and systems
{For relativistic mechanics, see
83A05
and
83C10;
for statistical mechanics, see
82-XX}
|
|
74-XX
|
G
Mechanics of deformable solids
|
|
76-XX
|
G
Fluid mechanics
{For general continuum mechanics, see
74Axx
or other parts of
74-XX}
|
|
78-XX
|
G
Optics, electromagnetic theory
{For quantum optics, see
81V80}
|
|
80-XX
|
G
Classical thermodynamics, heat transfer
{For thermodynamics of solids, see
74A15}
|
|
81-XX
|
G
Quantum theory
|
|
82-XX
|
G
Statistical mechanics, structure of matter
|
|
83-XX
|
G
Relativity and gravitational theory
|
|
85-XX
|
G
Astronomy and astrophysics
{For celestial mechanics, see
70F15}
|
|
86-XX
|
G
Geophysics
[See also
76U05,
76V05]
|
|
90-XX
|
G
Operations research, mathematical programming
|
|
91-XX
|
G
Game theory, economic, social and behavioral sciences
|
|
92-XX
|
G
Biology and other natural sciences
|
|
93-XX
|
G
Systems theory; control
{For optimal control, see
49-XX}
|
|
94-XX
|
G
Information and communication, circuits
|
|
97-XX
|
G
Mathematics education
|