00-XX	General
00Axx	General and miscellaneous specific topics
00Bxx	Conference proceedings and collections of papers
01-XX	History and biography [See also the classification number -03 in the other sections]
01Axx	History of mathematics and mathematicians
03-XX	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]
05-XX	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
06-XX	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
08-XX	General algebraic systems
08Axx	Algebraic structures [See also 03C05]
08Bxx	Varieties
08Cxx	Other classes of algebras
11-XX	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, 14-XX, 22Exx, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45}
11Gxx	Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14-XX, 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 L-functions: 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 p-adic fields
11Txx	Finite fields and commutative rings (number-theoretic aspects)
11Uxx	Connections with logic
11Yxx	Computational number theory [See also 11-04]
12-XX	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
13-XX	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 number-theoretic aspects, see 11Txx}
13Nxx	Differential algebra [See also 12H05, 14F10]
13Pxx	Computational aspects of commutative algebra [See also 68W30]
14-XX	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 higher-dimensional 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 51-XX]
14Pxx	Real algebraic and real analytic geometry
14Qxx	Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30]
14Rxx	Affine geometry
15-XX	Linear and multilinear algebra; matrix theory
16-XX	Associative rings and algebras {For the commutative case, see 13-XX}
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 17-XX}
17-XX	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
18-XX	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]
19-XX	K-theory [See also 16E20, 18F25]
19Axx	Grothendieck groups and K0 [See also 13D15, 18F30]
19Bxx	Whitehead groups and K1
19Cxx	Steinberg groups and K2
19Dxx	Higher algebraic K-theory
19Exx	K-theory in geometry
19Fxx	K-theory in number theory [See also 11R70, 11S70]
19Gxx	K-theory of forms [See also 11Exx]
19Jxx	Obstructions from topology
19Kxx	K-theory and operator algebras [See mainly 46L80, and also 46M20]
19Lxx	Topological K-theory [See also 55N15, 55R50, 55S25]
20-XX	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
22-XX	Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}
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
26-XX	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]
28-XX	Measure and integration {For analysis on manifolds, see 58-XX}
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	Measure-theoretic ergodic theory [See also 11K50, 11K55, 22D40, 47A35, 54H20, 37Axx, 60Fxx, 60G10]
28Exx	Miscellaneous topics in measure theory
30-XX	Functions of a complex variable {For analysis on manifolds, see 58-XX}
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
31-XX	Potential theory {For probabilistic potential theory, see 60J45}
31Axx	Two-dimensional theory
31Bxx	Higher-dimensional theory
31Cxx	Other generalizations
32-XX	Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see also 46G20, 58B12}
32Axx	Holomorphic functions of several complex variables
32Bxx	Local analytic geometry [See also 13-XX and 14-XX]
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
33-XX	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}
33Bxx	Elementary classical functions
33Cxx	Hypergeometric functions
33Dxx	Basic hypergeometric functions
33Exx	Other special functions
33Fxx	Computational aspects
34-XX	Ordinary differential equations
34Axx	General theory
34Bxx	Boundary value problems {For ordinary differential operators, see 34Lxx}
34Cxx	Qualitative theory [See also 37-XX]
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	Functional-differential and differential-difference equations [See also 37-XX]
34Lxx	Ordinary differential operators [See also 47E05]
34Mxx	Differential equations in the complex domain [See also 30Dxx, 32G34]
35-XX	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 first-order equations and systems
35Gxx	General higher-order equations and systems
35Hxx	Close-to-elliptic 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]
37-XX	Dynamical systems and ergodic theory [See also 26A18, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
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	Low-dimensional dynamical systems
37Fxx	Complex dynamical systems [See also 30D05, 32Hxx]
37Gxx	Local and global bifurcation theory
37Hxx	Random dynamical systems
37Jxx	Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Hxx]
37Kxx	Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx]
37Lxx	Infinite-dimensional dissipative dynamical systems [See also 35Bxx, 35Qxx]
37Mxx	Approximation methods and numerical treatment of dynamical systems [See also 65Pxx]
37Nxx	Applications
39-XX	Difference and functional equations
39Axx	Difference equations {For dynamical systems, see 37-XX}
39Bxx	Functional equations and inequalities [See also 30D05]
40-XX	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
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
42Axx	Fourier analysis in one variable
42Bxx	Fourier analysis in several variables {For automorphic theory, see mainly 11F30}
42Cxx	Nontrigonometric 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
45Exx	Singular integral equations [See also 30Exx, 44-XX, 30E20, 30E25, 44A15, 44A35]
45Fxx	Systems of linear integral equations
45Gxx	Nonlinear integral equations [See also 47H30, 47Jxx]
45Mxx	Qualitative behavior
46-XX	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 infinite-dimensional spaces) [See also 28-XX, 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 18-XX]
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]
47-XX	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, integro-differential, and pseudodifferential operators [See also 58Jxx]
47Hxx	Nonlinear operators and their properties {For global and geometric aspects, see 58-XX, 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]
49-XX	Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
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]
51-XX	Geometry {For algebraic geometry, see 14-XX}
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
52-XX	Convex and discrete geometry
52Axx	General convexity
52Bxx	Polytopes and polyhedra
52Cxx	Discrete geometry
53-XX	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, 58-XX] {For related bundle theory, see 55Rxx, 57Rxx}
53Dxx	Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
54-XX	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
55-XX	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]
57-XX	Manifolds and cell complexes {For complex manifolds, see 32Qxx}
57Mxx	Low-dimensional topology
57Nxx	Topological manifolds
57Pxx	Generalized manifolds [See also 18F15]
57Qxx	PL-topology
57Rxx	Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx}
57Sxx	Topological transformation groups [See also 20F34, 22-XX, 54H15, 58D05]
57Txx	Homology and homotopy of topological groups and related structures
58-XX	Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}
58Axx	General theory of differentiable manifolds
58Bxx	Infinite-dimensional 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 infinite-dimensional spaces
58Hxx	Pseudogroups, differentiable groupoids and general structures on manifolds
58Jxx	Partial differential equations on manifolds [See also 35-XX]
58Kxx	Theory of singularities and catastrophe theory [See also 37-XX]
60-XX	Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 92-XX, 93-XX, 94-XX}
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
62-XX	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 90-XX, 91-XX, 92-XX]
65-XX	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 41-XX 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 time-dependent initial-boundary 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
68-XX	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 65-XX; for combinatorics and graph theory, see 68Rxx}
70-XX	Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX}
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 37-XX]
70Hxx	Hamiltonian and Lagrangian mechanics [See also 37Jxx]
70Jxx	Linear vibration theory
70Kxx	Nonlinear dynamics [See also 34Cxx, 37-XX]
70Sxx	Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX]
74-XX	Mechanics of deformable solids
74Axx	Generalities, axiomatics, foundations of continuum mechanics of solids
74Bxx	Elastic materials
74Cxx	Plastic materials, materials of stress-rate and internal-variable type
74Dxx	Materials of strain-rate 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 (steady-state) 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 65-XX, 74G15, 74H15]
76-XX	Fluid mechanics {For general continuum mechanics, see 74Axx or other parts of 74-XX}
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 65-XX]
76Nxx	Compressible fluids and gas dynamics, general
76Rxx	Diffusion and convection
76Txx	Two-phase and multiphase flows
76Zxx	Biological fluid mechanics [See also 74F10, 74L10, 92Cxx]
78-XX	Optics, electromagnetic theory {For quantum optics, see 81V80}
78Axx	General
78Mxx	Basic methods
80-XX	Classical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15}
80Axx	Thermodynamics and heat transfer
80Mxx	Basic methods
81-XX	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
82-XX	Statistical mechanics, structure of matter
82Bxx	Equilibrium statistical mechanics
82Cxx	Time-dependent statistical mechanics (dynamic and nonequilibrium)
82Dxx	Applications to specific types of physical systems
83-XX	Relativity and gravitational theory
83Cxx	General relativity
83Exx	Unified, higher-dimensional and super field theories
85-XX	Astronomy and astrophysics {For celestial mechanics, see 70F15}
86-XX	Geophysics [See also 76U05, 76V05]
90-XX	Operations research, mathematical programming
90Bxx	Operations research and management science
90Cxx	Mathematical programming
91-XX	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 62-XX}
91Dxx	Mathematical sociology (including anthropology)
91Exx	Mathematical psychology
91Fxx	Other social and behavioral sciences (mathematical treatment)
92-XX	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}
93-XX	Systems theory; control {For optimal control, see 49-XX}
93Axx	General
93Bxx	Controllability, observability, and system structure
93Cxx	Control systems, guided systems
93Dxx	Stability
93Exx	Stochastic systems and control
94-XX	Information and communication, circuits
94Axx	Communication, information
94Bxx	Theory of error-correcting codes and error-detecting codes
94Cxx	Circuits, networks
97-XX	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