2000 Mathematics Subject Classification
AMS
AMS Subject classification
00-XX General
01-XX History and
biography [See also the classification number -03
in the other sections]
03-XX Mathematical
logic and foundations
04-XX This section has been deleted {For set
theory see 03Exx}
05-XX
Combinatorics {For finite fields, see 11Txx}
06-XX Order,
lattices, ordered algebraic structures [See also 18B35]
08-XX General
algebraic systems
11-XX Number
theory
12-XX Field theory
and polynomials
13-XX Commutative
rings and algebras
14-XX Algebraic
geometry
15-XX Linear and
multilinear algebra; matrix theory
16-XX Associative
rings and algebras {For the commutative case, see 13-XX}
17-XX
Nonassociative rings and algebras
18-XX Category
theory; homological algebra {For commutative rings
see 13Dxx, for associative rings
16Exx, for groups 20Jxx,
for topological groups and related structures 57Txx; see also 55Nxx
and 55Uxx for algebraic
topology}
19-XX $K$-theory
[See also 16E20, 18F25]
20-XX Group theory
and generalizations
22-XX Topological
groups, Lie groups {For transformation groups, see
54H15, 57Sxx, 58-XX.
For abstract harmonic analysis, see 43-XX}
26-XX Real
functions [See also 54C30]
28-XX Measure and
integration {For analysis on manifolds, see 58-XX}
30-XX Functions of
a complex variable {For analysis on manifolds, see
58-XX}
31-XX Potential
theory {For probabilistic potential theory, see 60J45}
32-XX Several
complex variables and analytic spaces {For infinite-
dimensional holomorphy, see 46G20, 58B12}
33-XX Special
functions (33-XX deals with the properties of functions
as functions) {For orthogonal functions, see 42Cxx; for
aspects of combinatorics, see 05Axx; for number-theoretic aspects,
see 11-XX; for
representation theory, see 22Exx}
34-XX Ordinary
differential equations
35-XX Partial
differential equations
37-XX Dynamical
systems and ergodic theory [See also 26A18, 34Cxx,
34Dxx, 35Bxx, 46Lxx,
58Jxx, 70-XX]
39-XX Difference
and functional equations
40-XX Sequences,
series, summability
41-XX
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 Fourier
analysis
43-XX Abstract
harmonic analysis {For other analysis on topological and
Lie groups, see 22Exx}
44-XX 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 Integral
equations
46-XX Functional
analysis {For manifolds modeled on topological linear
spaces, see 57N20, 58Bxx}
47-XX Operator
theory
49-XX Calculus of
variations and optimal control; optimization
[See also 34H05, 34K35, 65Kxx, 90Cxx,
93-XX]
51-XX Geometry
{For algebraic geometry, see 14-XX}
52-XX Convex and
discrete geometry
53-XX Differential
geometry {For differential topology, see 57Rxx. For
foundational questions of differentiable manifolds, see 58Axx}
54-XX General
topology {For the topology of manifolds of all dimensions,
see 57Nxx}
55-XX Algebraic
topology
57-XX Manifolds
and cell complexes {For complex manifolds, see 32Qxx}
58-XX Global
analysis, analysis on manifolds [See also 32Cxx, 32Fxx,
32Wxx, 46-XX, 47Hxx,
53Cxx] {For geometric integration
theory,
see 49Q15}
60-XX Probability
theory and stochastic processes {For additional
applications, see 11Kxx,
62-XX, 90-XX, 91-XX,92-XX,
93-XX, 94-XX]
62-XX Statistics
65-XX Numerical
analysis
68-XX Computer
science {For papers involving machine computations and
programs in a specific mathematical area, see Section -04
in
that area}
70-XX Mechanics of
particles and systems {For relativistic mechanics,
see 83A05 and 83C10; for statistical mechanics, see 82-XX}
73-XX This section has been deleted {For mechanics
of solids, see 74-XX}
74-XX Mechanics of
deformable solids
76-XX Fluid
mechanics {For general continuum mechanics, see 74Axx, or
other parts of 74-XX}
78-XX Optics,
electromagnetic theory {For quantum optics, see 81V80}
80-XX Classical
thermodynamics, heat transfer {For thermodynamics of
solids, see 74A15}
81-XX Quantum
theory
82-XX Statistical
mechanics, structure of matter
83-XX Relativity
and gravitational theory
85-XX Astronomy
and astrophysics {For celestial mechanics, see 70F15}
86-XX Geophysics
[See also 76U05, 76V05]
90-XX Operations
research, mathematical programming
91-XX Game theory,
economics, social and behavioral sciences
92-XX Biology and
other natural sciences
93-XX Systems
theory; control {For optimal control, see 49-XX}
94-XX Information
and communication, circuits
97-XX Mathematics
education