00XX

General

00Axx

General and miscellaneous specific topics

00Bxx

Conference proceedings and collections of papers

01XX

History and biography
[See also the classification number 03 in the other sections]

01Axx

History of mathematics and mathematicians

03XX

Mathematical logic and foundations

03Bxx

General logic

03Cxx

Model theory

03Dxx

Computability and recursion theory

03Exx

Set theory

03Fxx

Proof theory and constructive mathematics

03Gxx

Algebraic logic

03Hxx

Nonstandard models
[See also
03C62]

05XX

Combinatorics
{For finite fields, see
11Txx}

05Axx

Classical combinatorial problems

05Bxx

Designs and configurations
{For applications of design theory, see
94C30}

05Cxx

Graph theory
{For applications of graphs, see
68R10,
90C35,
94C15}

05Dxx

Extremal combinatorics

05Exx

Algebraic combinatorics

06XX

Order, lattices, ordered algebraic structures
[See also
18B35]

06Axx

Ordered sets

06Bxx

Lattices
[See also
03G10]

06Cxx

Modular lattices, complemented lattices

06Dxx

Distributive lattices

06Exx

Boolean algebras (Boolean rings)
[See also
03G05]

06Fxx

Ordered structures

08XX

General algebraic systems

08Axx

Algebraic structures
[See also
03C05]

08Bxx

Varieties

08Cxx

Other classes of algebras

11XX

Number theory

11Axx

Elementary number theory
{For analogues in number fields, see
11R04}

11Bxx

Sequences and sets

11Cxx

Polynomials and matrices

11Dxx

Diophantine equations
[See also
11Gxx,
14Gxx]

11Exx

Forms and linear algebraic groups
[See also
19Gxx]
{For quadratic forms in linear algebra, see
15A63}

11Fxx

Discontinuous groups and automorphic forms
[See also
11R39,
11S37,
14XX,
22Exx,
14Gxx,
14Kxx,
22E50,
22E55,
30F35,
32Nxx]
{For relations with quadratic forms, see
11E45}

11Gxx

Arithmetic algebraic geometry (Diophantine geometry)
[See also
11Dxx,
14XX,
14Gxx,
14Kxx]

11Hxx

Geometry of numbers
{For applications in coding theory, see
94B75}

11Jxx

Diophantine approximation, transcendental number theory
[See also
11K60]

11Kxx

Probabilistic theory: distribution modulo 1; metric theory of algorithms

11Lxx

Exponential sums and character sums
{For finite fields, see
11Txx}

11Mxx

Zeta and Lfunctions: analytic theory

11Nxx

Multiplicative number theory

11Pxx

Additive number theory; partitions

11Rxx

Algebraic number theory: global fields
{For complex multiplication, see
11G15}

11Sxx

Algebraic number theory: local and padic fields

11Txx

Finite fields and commutative rings (numbertheoretic aspects)

11Uxx

Connections with logic

11Yxx

Computational number theory
[See also
1104]

12XX

Field theory and polynomials

12Dxx

Real and complex fields

12Exx

General field theory

12Fxx

Field extensions

12Gxx

Homological methods (field theory)

12Hxx

Differential and difference algebra

12Jxx

Topological fields

12Kxx

Generalizations of fields

12Lxx

Connections with logic

13XX

Commutative rings and algebras

13Axx

General commutative ring theory

13Bxx

Ring extensions and related topics

13Cxx

Theory of modules and ideals

13Dxx

Homological methods
{For noncommutative rings, see
16Exx;
for general categories, see
18Gxx}

13Exx

Chain conditions, finiteness conditions

13Fxx

Arithmetic rings and other special rings

13Hxx

Local rings and semilocal rings

13Jxx

Topological rings and modules
[See also
16W60,
16W80]

13Mxx

Finite commutative rings
{For numbertheoretic aspects, see
11Txx}

13Nxx

Differential algebra
[See also
12H05,
14F10]

13Pxx

Computational aspects of commutative algebra
[See also
68W30]

14XX

Algebraic geometry

14Axx

Foundations

14Bxx

Local theory

14Cxx

Cycles and subschemes

14Dxx

Families, fibrations

14Exx

Birational geometry

14Fxx

(Co)homology theory
[See also
13Dxx]

14Gxx

Arithmetic problems. Diophantine geometry
[See also
11Dxx,
11Gxx]

14Hxx

Curves

14Jxx

Surfaces and higherdimensional varieties
{For analytic theory, see
32Jxx}

14Kxx

Abelian varieties and schemes

14Lxx

Algebraic groups
{For linear algebraic groups, see
20Gxx;
for Lie algebras, see
17B45}

14Mxx

Special varieties

14Nxx

Projective and enumerative geometry
[See also
51XX]

14Pxx

Real algebraic and real analytic geometry

14Qxx

Computational aspects in algebraic geometry
[See also
12Y05,
13Pxx,
68W30]

14Rxx

Affine geometry

15XX

Linear and multilinear algebra; matrix theory

16XX

Associative rings and algebras
{For the commutative case, see
13XX}

16Bxx

General and miscellaneous

16Dxx

Modules, bimodules and ideals

16Exx

Homological methods
{For commutative rings, see
13Dxx;
for general categories, see
18Gxx}

16Gxx

Representation theory of rings and algebras

16Kxx

Division rings and semisimple Artin rings
[See also
12E15,
15A30]

16Lxx

Local rings and generalizations

16Nxx

Radicals and radical properties of rings

16Pxx

Chain conditions, growth conditions, and other forms of finiteness

16Rxx

Rings with polynomial identity

16Sxx

Rings and algebras arising under various constructions

16Uxx

Conditions on elements

16Wxx

Rings and algebras with additional structure

16Yxx

Generalizations
{For nonassociative rings, see
17XX}

17XX

Nonassociative rings and algebras

17Axx

General nonassociative rings

17Bxx

Lie algebras and Lie superalgebras
{For Lie groups, see
22Exx}

17Cxx

Jordan algebras (algebras, triples and pairs)

17Dxx

Other nonassociative rings and algebras

18XX

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}

18Axx

General theory of categories and functors

18Bxx

Special categories

18Cxx

Categories and theories

18Dxx

Categories with structure

18Exx

Abelian categories

18Fxx

Categories and geometry

18Gxx

Abstract homological algebra
[See also
13Dxx,
16Exx,
20Jxx,
55Nxx,
55Uxx,
57Txx]

19XX

Ktheory
[See also
16E20,
18F25]

19Axx

Grothendieck groups and K_{0}
[See also
13D15,
18F30]

19Bxx

Whitehead groups and K_{1}

19Cxx

Steinberg groups and K_{2}

19Dxx

Higher algebraic Ktheory

19Exx

Ktheory in geometry

19Fxx

Ktheory in number theory
[See also
11R70,
11S70]

19Gxx

Ktheory of forms
[See also
11Exx]

19Jxx

Obstructions from topology

19Kxx

Ktheory and operator algebras
[See mainly
46L80,
and also
46M20]

19Lxx

Topological Ktheory
[See also
55N15,
55R50,
55S25]

20XX

Group theory and generalizations

20Axx

Foundations

20Bxx

Permutation groups

20Cxx

Representation theory of groups
{For representation rings and Burnside rings, see also
19A22}

20Dxx

Abstract finite groups

20Exx

Structure and classification of infinite or finite groups

20Fxx

Special aspects of infinite or finite groups

20Gxx

Linear algebraic groups (classical groups)
{For arithmetic theory, see
11E57,
11H56;
for geometric theory, see
14Lxx,
22Exx;
for other methods in representation theory, see
15A30,
22E45,
22E46,
22E47,
22E50,
22E55}

20Hxx

Other groups of matrices
[See also
15A30]

20Jxx

Connections with homological algebra and category theory

20Kxx

Abelian groups

20Mxx

Semigroups

20Nxx

Other generalizations of groups

22XX

Topological groups, Lie groups
{For transformation groups, see
54H15,
57Sxx,
58XX.
For abstract harmonic analysis, see
43XX}

22Axx

Topological and differentiable algebraic systems
{For topological rings and fields, see
12Jxx,
13Jxx,
16W80}

22Bxx

Locally compact Abelian groups (LCA groups)

22Dxx

Locally compact groups and their algebras

22Exx

Lie groups
{For the topology of Lie groups and homogeneous spaces, see
57Sxx,
57Txx;
for analysis theorem, see
43A80,
43A85,
43A90}

22Fxx

Noncompact transformation groups

26XX

Real functions
[See also
54C30]

26Axx

Functions of one variable

26Bxx

Functions of several variables

26Cxx

Polynomials, rational functions

26Dxx

Inequalities
{For maximal function inequalities, see
42B25;
for functional inequalities, see
39B72;
for probabilistic inequalities, see
60E15}

26Exx

Miscellaneous topics
[See also
58Cxx]

28XX

Measure and integration
{For analysis on manifolds, see
58XX}

28Axx

Classical measure theory

28Bxx

Set functions, measures and integrals with values in abstract spaces

28Cxx

Set functions and measures on spaces with additional structure
[See also
46G12,
58C35,
58D20]

28Dxx

Measuretheoretic ergodic theory
[See also
11K50,
11K55,
22D40,
47A35,
54H20,
37Axx,
60Fxx,
60G10]

28Exx

Miscellaneous topics in measure theory

30XX

Functions of a complex variable
{For analysis on manifolds, see
58XX}

30Axx

General properties

30Bxx

Series expansions

30Cxx

Geometric function theory

30Dxx

Entire and meromorphic functions, and related topics

30Exx

Miscellaneous topics of analysis in the complex domain

30Fxx

Riemann surfaces

30Gxx

Generalized function theory

31XX

Potential theory
{For probabilistic potential theory, see
60J45}

31Axx

Twodimensional theory

31Bxx

Higherdimensional theory

31Cxx

Other generalizations

32XX

Several complex variables and analytic spaces
{For infinitedimensional holomorphy, see also
46G20,
58B12}

32Axx

Holomorphic functions of several complex variables

32Bxx

Local analytic geometry
[See also
13XX
and
14XX]

32Cxx

Analytic spaces

32Dxx

Analytic continuation

32Exx

Holomorphic convexity

32Fxx

Geometric convexity

32Gxx

Deformations of analytic structures

32Hxx

Holomorphic mappings and correspondences

32Jxx

Compact analytic spaces
{For Riemann surfaces, see
14Hxx,
30Fxx;
for algebraic theory, see
14Jxx}

32Kxx

Generalizations of analytic spaces {!should also be assigned at least one other classification number from section 32 describing the type of problem}

32Lxx

Holomorphic fiber spaces
[See also
55Rxx]

32Mxx

Complex spaces with a group of automorphisms

32Nxx

Automorphic functions
[See also
11Fxx,
20H10,
22E40,
30F35]

32Qxx

Complex manifolds

32Sxx

Singularities

32Txx

Pseudoconvex domains

32Uxx

Pluripotential theory

32Vxx

CR manifolds

32Wxx

Differential operators in several variables

33XX

Special functions {!
33XX
deals with the properties of functions as functions}
{For orthogonal functions, see also
42Cxx;
for aspects of combinatorics, see
05Axx;
for numbertheoretic aspects, see
11XX;
for representation theory, see
22Exx}

33Bxx

Elementary classical functions

33Cxx

Hypergeometric functions

33Dxx

Basic hypergeometric functions

33Exx

Other special functions

33Fxx

Computational aspects

34XX

Ordinary differential equations

34Axx

General theory

34Bxx

Boundary value problems
{For ordinary differential operators, see
34Lxx}

34Cxx

Qualitative theory
[See also
37XX]

34Dxx

Stability theory
[See also
37C75,
93Dxx]

34Exx

Asymptotic theory

34Gxx

Differential equations in abstract spaces
[See also
37Kxx,
34Lxx,
47Dxx,
47Hxx,
47Jxx,
58D25]

34Kxx

Functionaldifferential and differentialdifference equations
[See also
37XX]

34Lxx

Ordinary differential operators
[See also
47E05]

34Mxx

Differential equations in the complex domain
[See also
30Dxx,
32G34]

35XX

Partial differential equations

35Axx

General theory

35Bxx

Qualitative properties of solutions

35Cxx

Representations of solutions

35Dxx

Generalized solutions of partial differential equations

35Exx

Equations and systems with constant coefficients
[See also
35N05]

35Fxx

General firstorder equations and systems

35Gxx

General higherorder equations and systems

35Hxx

Closetoelliptic equations

35Jxx

Partial differential equations of elliptic type
[See also
58Jxx,
58J10,
58J20]

35Kxx

Parabolic equations and systems
[See also
35Bxx,
35Dxx,
35R30,
35R35,
58J35]

35Lxx

Partial differential equations of hyperbolic type
[See also
58J45]

35Mxx

Partial differential equations of special type (mixed, composite, etc.)
{For degenerate types, see
35J70,
35K65,
35L80}

35Nxx

Overdetermined systems
[See also
58Jxx,
58J10,
58J15,
58Hxx]

35Pxx

Spectral theory and eigenvalue problems for partial differential operators
[See also
47Axx,
47Bxx,
47F05]

35Qxx

Equations of mathematical physics and other areas of application
[See also
35J05,
35J10,
35K05,
35L05]

35Rxx

Miscellaneous topics involving partial differential equations
{For equations on manifolds, see
58Jxx;
for manifolds of solutions, see
58Bxx;
for stochastic PDEs, see also
60H15}

35Sxx

Pseudodifferential operators and other generalizations of partial differential operators
[See also
47G30,
58J40]

37XX

Dynamical systems and ergodic theory
[See also
26A18,
34Cxx,
34Dxx,
35Bxx,
46Lxx,
58Jxx,
70XX]

37Axx

Ergodic theory

37Bxx

Topological dynamics
[See also
54H20]

37Cxx

Smooth dynamical systems: general theory
[See also
34Cxx,
34Dxx]

37Dxx

Dynamical systems with hyperbolic behavior

37Exx

Lowdimensional dynamical systems

37Fxx

Complex dynamical systems
[See also
30D05,
32Hxx]

37Gxx

Local and global bifurcation theory

37Hxx

Random dynamical systems

37Jxx

Finitedimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
[See also
53Dxx,
70Hxx]

37Kxx

Infinitedimensional Hamiltonian systems
[See also
35Axx,
35Qxx]

37Lxx

Infinitedimensional dissipative dynamical systems
[See also
35Bxx,
35Qxx]

37Mxx

Approximation methods and numerical treatment of dynamical systems
[See also
65Pxx]

37Nxx

Applications

39XX

Difference and functional equations

39Axx

Difference equations
{For dynamical systems, see
37XX}

39Bxx

Functional equations and inequalities
[See also
30D05]

40XX

Sequences, series, summability

40Axx

Convergence and divergence of infinite limiting processes

40Cxx

General summability methods

40Dxx

Direct theorems on summability

40Exx

Inversion theorems

40Gxx

Special methods of summability

41XX

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}

42XX

Fourier analysis

42Axx

Fourier analysis in one variable

42Bxx

Fourier analysis in several variables
{For automorphic theory, see mainly
11F30}

42Cxx

Nontrigonometric Fourier analysis

43XX

Abstract harmonic analysis
{For other analysis on topological and Lie groups, see
22Exx}

44XX

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}

45XX

Integral equations

45Exx

Singular integral equations
[See also
30Exx,
44XX,
30E20,
30E25,
44A15,
44A35]

45Fxx

Systems of linear integral equations

45Gxx

Nonlinear integral equations
[See also
47H30,
47Jxx]

45Mxx

Qualitative behavior

46XX

Functional analysis
{For manifolds modeled on topological linear spaces, see
57N20,
58Bxx}

46Axx

Topological linear spaces and related structures
{For function spaces, see
46Exx}

46Bxx

Normed linear spaces and Banach spaces; Banach lattices
{For function spaces, see
46Exx}

46Cxx

Inner product spaces and their generalizations, Hilbert spaces
{For function spaces, see
46Exx}

46Exx

Linear function spaces and their duals
[See also
30H05,
32A38,
46F05]
{For function algebras, see
46J10}

46Fxx

Distributions, generalized functions, distribution spaces
[See also
46T30]

46Gxx

Measures, integration, derivative, holomorphy (all involving infinitedimensional spaces)
[See also
28XX,
46Txx]

46Hxx

Topological algebras, normed rings and algebras, Banach algebras
{For group algebras, convolution algebras and measure algebras, see
43A10,
43A20}

46Jxx

Commutative Banach algebras and commutative topological algebras
[See also
46E25]

46Kxx

Topological (rings and) algebras with an involution
[See also
16W10]

46Lxx

Selfadjoint operator algebras (C^{*}algebras, von_Neumann (W^{*}) algebras, etc.)
[See also
22D25]

46Mxx

Methods of category theory in functional analysis
[See also
18XX]

46Nxx

Miscellaneous applications of functional analysis
[See also
47Nxx]

46Sxx

Other (nonclassical) types of functional analysis
[See also
47Sxx]

46Txx

Nonlinear functional analysis
[See also
47Hxx,
47Jxx,
58Cxx,
58Dxx]

47XX

Operator theory

47Axx

General theory of linear operators

47Bxx

Special classes of linear operators

47Cxx

Individual linear operators as elements of algebraic systems

47Dxx

Groups and semigroups of linear operators, their generalizations and applications

47Gxx

Integral, integrodifferential, and pseudodifferential operators
[See also
58Jxx]

47Hxx

Nonlinear operators and their properties
{For global and geometric aspects, see
58XX,
especially
58Cxx}

47Jxx

Equations and inequalities involving linear operators

47Lxx

Linear spaces and algebras of operators
[See also
46Lxx]

47Nxx

Miscellaneous applications of operator theory
[See also
46Nxx]

47Sxx

Other (nonclassical) types of operator theory
[See also
46Sxx]

49XX

Calculus of variations and optimal control; optimization
[See also
34H05,
34K35,
65Kxx,
90Cxx,
93XX]

49Jxx

Existence theories

49Kxx

Necessary conditions and sufficient conditions for optimality

49Lxx

Hamilton  Jacobi theories, including dynamic programming

49Mxx

Methods of successive approximations
[See also
90Cxx,
65Kxx]

49Nxx

Miscellaneous topics

49Qxx

Manifolds
[See also
58Exx]

51XX

Geometry
{For algebraic geometry, see
14XX}

51Axx

Linear incidence geometry

51Bxx

Nonlinear incidence geometry

51Dxx

Geometric closure systems

51Exx

Finite geometry and special incidence structures

51Fxx

Metric geometry

51Hxx

Topological geometry

51Jxx

Incidence groups

51Kxx

Distance geometry

51Lxx

Geometric order structures
[See also
53C75]

51Mxx

Real and complex geometry

51Nxx

Analytic and descriptive geometry

52XX

Convex and discrete geometry

52Axx

General convexity

52Bxx

Polytopes and polyhedra

52Cxx

Discrete geometry

53XX

Differential geometry
{For differential topology, see
57Rxx.
For foundational questions of differentiable manifolds, see
58Axx}

53Axx

Classical differential geometry

53Bxx

Local differential geometry

53Cxx

Global differential geometry
[See also
51H25,
58XX]
{For related bundle theory, see
55Rxx,
57Rxx}

53Dxx

Symplectic geometry, contact geometry
[See also
37Jxx,
70Gxx,
70Hxx]

54XX

General topology
{For the topology of manifolds of all dimensions, see
57Nxx}

54Axx

Generalities

54Bxx

Basic constructions

54Cxx

Maps and general types of spaces defined by maps

54Dxx

Fairly general properties

54Exx

Spaces with richer structures

54Fxx

Special properties

54Gxx

Peculiar spaces

54Hxx

Connections with other structures, applications

55XX

Algebraic topology

55Mxx

Classical topics
{For the topology of Euclidean spaces and manifolds, see
57Nxx}

55Nxx

Homology and cohomology theories
[See also
57Txx]

55Pxx

Homotopy theory
{For simple homotopy type, see
57Q10}

55Qxx

Homotopy groups

55Rxx

Fiber spaces and bundles
[See also
18F15,
32Lxx,
46M20,
57R20,
57R22,
57R25]

55Sxx

Operations and obstructions

55Txx

Spectral sequences
[See also
18G40,
55R20]

55Uxx

Applied homological algebra and category theory
[See also
18Gxx]

57XX

Manifolds and cell complexes
{For complex manifolds, see
32Qxx}

57Mxx

Lowdimensional topology

57Nxx

Topological manifolds

57Pxx

Generalized manifolds
[See also
18F15]

57Qxx

PLtopology

57Rxx

Differential topology
{For foundational questions of differentiable manifolds, see
58Axx;
for infinitedimensional manifolds, see
58Bxx}

57Sxx

Topological transformation groups
[See also
20F34,
22XX,
54H15,
58D05]

57Txx

Homology and homotopy of topological groups and related structures

58XX

Global analysis, analysis on manifolds
[See also
32Cxx,
32Fxx,
46XX,
47Hxx,
53Cxx]
{For geometric integration theory, see
49Q15}

58Axx

General theory of differentiable manifolds

58Bxx

Infinitedimensional manifolds

58Cxx

Calculus on manifolds; nonlinear operators
[See also
46Txx,
47Hxx]

58Dxx

Spaces and manifolds of mappings {!including nonlinear versions of
46Exx}

58Exx

Variational problems in infinitedimensional spaces

58Hxx

Pseudogroups, differentiable groupoids and general structures on manifolds

58Jxx

Partial differential equations on manifolds
[See also
35XX]

58Kxx

Theory of singularities and catastrophe theory
[See also
37XX]

60XX

Probability theory and stochastic processes
{For additional applications, see
11Kxx,
62XX,
90XX,
92XX,
93XX,
94XX}

60Axx

Foundations of probability theory

60Bxx

Probability theory on algebraic and topological structures

60Exx

Distribution theory
[See also
62Exx,
62Hxx]

60Fxx

Limit theorems
[See also
28Dxx,
60B12]

60Gxx

Stochastic processes

60Hxx

Stochastic analysis
[See also
58J65]

60Jxx

Markov processes

60Kxx

Special processes

62XX

Statistics

62Bxx

Sufficiency and information

62Cxx

Decision theory
[See also
90B50,
91B05]
{For game theory, see
91A35}

62Exx

Distribution theory
[See also
60Exx]

62Fxx

Parametric inference

62Gxx

Nonparametric inference

62Hxx

Multivariate analysis
[See also
60Exx]

62Jxx

Linear inference, regression

62Kxx

Design of experiments
[See also
05Bxx]

62Lxx

Sequential methods

62Mxx

Inference from stochastic processes

62Nxx

Survival analysis and censored data

62Pxx

Applications
[See also
90XX,
91XX,
92XX]

65XX

Numerical analysis

65Bxx

Acceleration of convergence

65Cxx

Probabilistic methods, simulation and stochastic differential equations
{For theoretical aspects, see
68U20
and
60H35}

65Dxx

Numerical approximation and computational geometry (primarily algorithms)
{For theory, see
41XX
and
68Uxx}

65Fxx

Numerical linear algebra

65Gxx

Error analysis and interval analysis

65Hxx

Nonlinear algebraic or transcendental equations

65Jxx

Numerical analysis in abstract spaces

65Kxx

Mathematical programming, optimization and variational techniques

65Lxx

Ordinary differential equations

65Mxx

Partial differential equations, initial value and timedependent initialboundary value problems

65Nxx

Partial differential equations, boundary value problems

65Pxx

Numerical problems in dynamical systems
[See also
37Mxx]

65Rxx

Integral equations, integral transforms

65Txx

Numerical methods in Fourier analysis

65Yxx

Computer aspects of numerical algorithms

68XX

Computer science
{For papers involving machine computations and programs in a specific mathematical area, see section 04 in that area}

68Mxx

Computer system organization

68Nxx

Software

68Pxx

Theory of data

68Qxx

Theory of computing

68Rxx

Discrete mathematics in relation to computer science

68Txx

Artificial intelligence

68Uxx

Computing methodologies and applications

68Wxx

Algorithms
{For numerical algorithms, see
65XX;
for combinatorics and graph theory, see
68Rxx}

70XX

Mechanics of particles and systems
{For relativistic mechanics, see
83A05
and
83C10;
for statistical mechanics, see
82XX}

70Bxx

Kinematics
[See also
53A17]

70Exx

Dynamics of a rigid body and of multibody systems

70Fxx

Dynamics of a system of particles, including celestial mechanics

70Gxx

General models, approaches, and methods
[See also
37XX]

70Hxx

Hamiltonian and Lagrangian mechanics
[See also
37Jxx]

70Jxx

Linear vibration theory

70Kxx

Nonlinear dynamics
[See also
34Cxx,
37XX]

70Sxx

Classical field theories
[See also
37Kxx,
37Lxx,
78XX,
81Txx,
83XX]

74XX

Mechanics of deformable solids

74Axx

Generalities, axiomatics, foundations of continuum mechanics of solids

74Bxx

Elastic materials

74Cxx

Plastic materials, materials of stressrate and internalvariable type

74Dxx

Materials of strainrate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)

74Exx

Material properties given special treatment

74Fxx

Coupling of solid mechanics with other effects

74Gxx

Equilibrium (steadystate) problems

74Hxx

Dynamical problems

74Jxx

Waves

74Kxx

Thin bodies, structures

74Lxx

Special subfields of solid mechanics

74Mxx

Special kinds of problems

74Nxx

Phase transformations in solids
[See also
74A50,
80Axx,
82B26,
82C26]

74Pxx

Optimization
[See also
49Qxx]

74Qxx

Homogenization, determination of effective properties

74Rxx

Fracture and damage

74Sxx

Numerical methods
[See also
65XX,
74G15,
74H15]

76XX

Fluid mechanics
{For general continuum mechanics, see
74Axx
or other parts of
74XX}

76Axx

Foundations, constitutive equations, rheology

76Bxx

Incompressible inviscid fluids

76Dxx

Incompressible viscous fluids

76Exx

Hydrodynamic stability

76Fxx

Turbulence
[See also
60Gxx,
60Jxx]

76Mxx

Basic methods in fluid mechanics
[See also
65XX]

76Nxx

Compressible fluids and gas dynamics, general

76Rxx

Diffusion and convection

76Txx

Twophase and multiphase flows

76Zxx

Biological fluid mechanics
[See also
74F10,
74L10,
92Cxx]

78XX

Optics, electromagnetic theory
{For quantum optics, see
81V80}

78Axx

General

78Mxx

Basic methods

80XX

Classical thermodynamics, heat transfer
{For thermodynamics of solids, see
74A15}

80Axx

Thermodynamics and heat transfer

80Mxx

Basic methods

81XX

Quantum theory

81Pxx

Axiomatics, foundations, philosophy

81Qxx

General mathematical topics and methods in quantum theory

81Rxx

Groups and algebras in quantum theory

81Sxx

General quantum mechanics and problems of quantization

81Txx

Quantum field theory; related classical field theories
[See also
70Sxx]

81Uxx

Scattering theory
[See also
34A55,
34L25,
34L40,
35P25,
47A40]

81Vxx

Applications to specific physical systems

82XX

Statistical mechanics, structure of matter

82Bxx

Equilibrium statistical mechanics

82Cxx

Timedependent statistical mechanics (dynamic and nonequilibrium)

82Dxx

Applications to specific types of physical systems

83XX

Relativity and gravitational theory

83Cxx

General relativity

83Exx

Unified, higherdimensional and super field theories

85XX

Astronomy and astrophysics
{For celestial mechanics, see
70F15}

86XX

Geophysics
[See also
76U05,
76V05]

90XX

Operations research, mathematical programming

90Bxx

Operations research and management science

90Cxx

Mathematical programming

91XX

Game theory, economic, social and behavioral sciences

91Axx

Game theory

91Bxx

Mathematical economics
{For econometrics, see
62P20}

91Cxx

Social and behavioral sciences: methodology
{For statistics, see
62XX}

91Dxx

Mathematical sociology (including anthropology)

91Exx

Mathematical psychology

91Fxx

Other social and behavioral sciences (mathematical treatment)

92XX

Biology and other natural sciences

92Bxx

Mathematical biology in general

92Cxx

Physiological, cellular and medical topics

92Dxx

Genetics and population dynamics

92Exx

Chemistry
{For biochemistry, see
92C40}

93XX

Systems theory; control
{For optimal control, see
49XX}

93Axx

General

93Bxx

Controllability, observability, and system structure

93Cxx

Control systems, guided systems

93Dxx

Stability

93Exx

Stochastic systems and control

94XX

Information and communication, circuits

94Axx

Communication, information

94Bxx

Theory of errorcorrecting codes and errordetecting codes

94Cxx

Circuits, networks

97XX

Mathematics education

97Axx

General

97Bxx

Educational policy and educational systems

97Cxx

Psychology of and research in mathematics education

97Dxx

Education and instruction in mathematics

97Uxx

Educational material and media.
Educational technology
