Conversion tables between the 1991 and 2000 versions of the Mathematics Subject Classification (MSC)

Items appearing in the 2000a (January) and later issues of Mathematical Reviews and in the 2000:01 and later issues of Current Mathematical Publications are classified using MSC2000, which is a revision of the 1991 MSC. The great majority of the over 5000 classification codes in the 1991 MSC remain valid in MSC2000. However, over 400 classification codes from the 1991 MSC do not appear in MSC2000 and there are over 1000 new codes in MSC2000.

To help users of the MSC, the editors of Mathematical Reviews have constructed conversion tables. One table gives for each 1991 code that does not appear in MSC2000 the code(s) in MSC2000 that are most likely to be used for items that would previously have been classified using the code that is now invalid. The other table gives for each new code in MSC2000 the codes in the 1991 MSC that are most likely to have been used earlier for items classified using the new code. The description associated with each code can be found by clicking on 1991 MSC or MSC2000, as appropriate.

Conversion table from old 1991 classification codes that are now invalid to MSC2000 codes.

New MSC2000 classifications --> 1991 MSC classifications

New	MSC2000	1991 MSC
00A17	External book reviews	00A99
New	MSC2000	1991 MSC
01A61	Twenty-first century	01A65, 01A67
01A85	Historiography	01A99
01A90	Bibliographic studies	01A99
New	MSC2000	1991 MSC
03B42	Logic of knowledge and belief	03B45
03B44	Temporal logic	03B45
03B47	Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics)	03B46, 03F50
03C64	Model theory of ordered structures; o-minimality	03C40, 03C45, 03C50, 03C60
03C98	Applications of model theory	03C99
03D28	Other Turing degree structures	03D30
03E02	Partition relations	03E05, 03E10, 04A10, 04A20
03E04	Ordered sets and their cofinalities; pcf theory	03E05, 03E10, 04A10, 04A20
03E17	Cardinal characteristics of the continuum	03E05, 03E10, 03E15, 04A10, 04A15, 04A20
03F45	Provability logics and related algebras (e.g., diagonalizable algebras)	03B45, 03F40
03F52	Linear logic and other substructural logics	03F50
New	MSC2000	1991 MSC
05C07	Degree sequences	05C99
05C17	Perfect graphs	05C15, 05C60
05C22	Signed, gain and biased graphs	05C75, 05C99
05C62	Graph representations (geometric and intersection representations, etc.)	05C75
05C69	Dominating sets, independent sets, cliques	05C35, 05C70
05C83	Graph minors	05C99
05D40	Probabilistic methods	05A16
New	MSC2000	1991 MSC
06A11	Algebraic aspects of posets	06A08, 06A09
06B23	Complete lattices, completions	06A23
06D22	Frames, locales	06D10, 06D20, 06D99
06D35	MV-algebras	06D30
06D50	Lattices and duality	06D05
06D72	Fuzzy lattices (soft algebras) and related topics	06D30
06F07	Quantales	06F05
New	MSC2000	1991 MSC
08A68	Heterogeneous algebras	08A55
08A72	Fuzzy algebraic structures	03E72
New	MSC2000	1991 MSC
11D45	Counting solutions of Diophantine equations	11N45, 11D
11D59	Thue-Mahler equations	11D57
11F23	Relations with algebraic geometry and topology	14-XX, 57-XX
11F50	Jacobi forms	11F55
11F52	Modular forms associated to Drinfel\cprime d modules	11G09, 11F11
11G50	Heights	11G35
11G55	Polylogarithms and relations with $K$-theory	19F27, 11R42, 14G10
11H71	Relations with coding theory	11T71
11J93	Transcendence theory of Drinfel\cprime d and $t$-modules	11G09, 11J99
11J95	Results involving abelian varieties	11G10
11J97	Analogues of methods in Nevanlinna theory (work of Vojta et al.)	11J99
11M38	Zeta and $L$-functions in characteristic $p$	11M41
11P70	Inverse problems of additive number theory	11B75
11R60	Cyclotomic function fields (class groups, Bernoulli objects, etc.)	11R58
11S90	Prehomogeneous vector spaces	11M41, 11S40
11T60	Finite upper half-planes	11F99
New	MSC2000	1991 MSC
12E30	Field arithmetic	12E25, 12F12
New	MSC2000	1991 MSC
13D07	Homological functors on modules (Tor, Ext, etc.)	13D02, 13D05
13D22	Homological conjectures (intersection theorems)	13D03, 13H15
13F55	Face and Stanley-Reisner rings; simplicial complexes	13F50
13J30	Real algebra	12D15, 14P99
13N15	Derivations	13B10
New	MSC2000	1991 MSC
14B25	Local structure of morphisms: \'etale, flat, etc.	14E40
14D06	Fibrations, degenerations	14H99, 14J99
14D21	Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)	14D20
14E08	Rationality questions	14G05, 14M20
14F22	Brauer groups of schemes	13A20
14F42	Motivic cohomology	14F99
14F43	Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)	14F32, 14F99
14G22	Rigid analytic geometry	14G20
14G32	Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)	14D20, 14H30, 20E18
14G50	Applications to coding theory and cryptography	94B27
14H37	Automorphisms	14E09
14H51	Special divisors (gonality, Brill-Noether theory)	14C20
14H70	Relationships with integrable systems	14H99
14H81	Relationships with physics	14H99
14J80	Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)	14J99
14J81	Relationships with physics	14J99
14K12	Subvarieties	14K05
14L24	Geometric invariant theory	14D25
14N15	Classical problems, Schubert calculus	14M15
14N20	Configurations of linear subspaces	14N05
14N25	Varieties of low degree	14N05
14N30	Adjunction problems	14C20
14N35	Gromov-Witten invariants, quantum cohomology	14N10
14RXX	Affine geometry	14Jxx
14R05	Classification of affine varieties	14J99
14R10	Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)	14E09, 14E25
14R15	Jacobian problem	14E09
14R20	Group actions on affine varieties	14L30
14R25	Affine fibrations	14D99
14R99	None of the above, but in this section	14J99
New	MSC2000	1991 MSC
15A29	Inverse problems	05A18
New	MSC2000	1991 MSC
16E05	Syzygies, resolutions, complexes	16E10
16E45	Differential graded algebras and applications	16E99
16E65	Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)	16E99
16K50	Brauer groups	13A20
16S37	Quadratic and Koszul algebras	16S99
16S38	Rings arising from non-commutative algebraic geometry	16S99
16W22	Actions of groups and semigroups; invariant theory	16W20
16W35	Ring-theoretic aspects of quantum groups	16W30
16W70	Filtered rings; filtrational and graded techniques	16W60
16Z05	Computational aspects of associative rings	16-04
New	MSC2000	1991 MSC
17A32	Leibniz algebras	17A30
17B62	Lie bialgebras	17B99
17B63	Poisson algebras	17B99
17B75	Color Lie (super)algebras	17B70
17B80	Applications to integrable systems	17B99
New	MSC2000	1991 MSC
18C30	Sketches and generalizations	18C10
18C35	Accessible and locally presentable categories	18C10, 18B99
18C50	Categorical semantics of formal languages	18C10, 18B99
18D50	Operads	18D10, 55U35, 18C15, 18G99
New	MSC2000	1991 MSC
20C08	Hecke algebras and their representations	20C99
20E45	Conjugacy classes	20E99
20F65	Geometric group theory	20F32
20F67	Hyperbolic groups and nonpositively curved groups	20F32
20F69	Asymptotic properties of groups	20F32
20G42	Quantum groups (quantized function algebras) and their representations	16W30, 17B37
New	MSC2000	1991 MSC
22FXX	Noncompact transformation groups	22Axx, 57S20
22F05	General theory of group and pseudogroup actions	22A99, 57S20
22F10	Measurable group actions	22D40, 28Dxx
22F30	Homogeneous spaces	57M60, 57Sxx, 22E40
22F50	Groups as automorphisms of other structures	22Axx, 46Lxx
New	MSC2000	1991 MSC
26E60	Means	26A24, 26D15
New	MSC2000	1991 MSC
32A12	Multifunctions	32A99
32A18	Bloch functions, normal functions	32A37
32A19	Normal families of functions, mappings	32A17
32A26	Integral representations, constructed kernels (e.g. Cauchy, Fantappi\`e-type kernels)	32A25
32A36	Bergman spaces	32A37
32A38	Algebras of holomorphic functions	32E25
32A50	Harmonic analysis of several complex variables	32A99
32A55	Singular integrals	32A99
32A60	Zero sets of holomorphic functions	32A10
32A65	Banach algebra techniques	32E25, 32E99
32A70	Functional analysis techniques	32A99
New	MSC2000	1991 MSC
32C09	Embedding of real analytic manifolds	32F25
32C22	Embedding of analytic spaces	32C18, 32C20, 32C25
32C55	The Levi problem in complex spaces; generalizations	32E99
New	MSC2000	1991 MSC
32D26	Riemann domains	32D05
New	MSC2000	1991 MSC
32E40	The Levi problem	32E99
32F17	Other notions of convexity	32F99, 32E99
32F18	Finite-type conditions	32F99
32F27	Topological consequences of geometric convexity	32F99
32F32	Analytical consequences of geometric convexity (vanishing theorems, etc.)	32F99, 32L20, 32L15
32F45	Invariant metrics and pseudodistances	32H15
New	MSC2000	1991 MSC
32H12	Boundary uniqueness of mappings	32H40
New	MSC2000	1991 MSC
32M17	Automorphism groups of ${\bf C}^n$ and affine manifolds	32M05
32M25	Complex vector fields	32S65
New	MSC2000	1991 MSC
32QXX	Complex manifolds
32Q05	Negative curvature manifolds	32C10
32Q10	Positive curvature manifolds	32C10
32Q15	K\"ahler manifolds	32C17, 32J27
32Q20	K\"ahler-Einstein manifolds	53C25, 32L07
32Q25	Calabi-Yau theory	32J17, 32J18, 14J32
32Q28	Stein manifolds	32E10
32Q30	Uniformization	32C10
32Q35	Complex manifolds as subdomains of Euclidean space	32C10
32Q40	Embedding theorems	32C10
32Q45	Hyperbolic and Kobayashi hyperbolic manifolds	32H20
32Q55	Topological aspects of complex manifolds	32C10
32Q57	Classification theorems	32C10, 32J15, 32J17, 32J18
32Q60	Almost complex manifolds	53C15
32Q65	Pseudoholomorphic curves	58D10
32Q99	None of the above, but in this section
New	MSC2000	1991 MSC
32S22	Relations with arrangements of hyperplanes	52B30, 32S20
32S99	None of the above, but in this section	32S70
New	MSC2000	1991 MSC
32TXX	Pseudoconvex domains
32T05	Domains of holomorphy	32D05
32T15	Strongly pseudoconvex domains	32F15
32T20	Worm domains	32F15
32T25	Finite type domains	32F15
32T27	Geometric and analytic invariants on weakly pseudoconvex boundaries	32F15
32T35	Exhaustion functions	32F15
32T40	Peak functions	32E25
32T99	None of the above, but in this section
New	MSC2000	1991 MSC
32UXX	Pluripotential theory
32U05	Plurisubharmonic functions and generalizations	32F05
32U10	Plurisubharmonic exhaustion functions	32F05
32U15	General pluripotential theory	32F05
32U20	Capacity theory and generalizations	31B15, 31C15, 32F99
32U25	Lelong numbers	32F05
32U30	Removable sets	32F99, 32D20
32U35	Pluricomplex Green functions	32F05
32U40	Currents	32C30
32U99	None of the above, but in this section
New	MSC2000	1991 MSC
32VXX	CR Manifolds
32V05	CR structures, CR operators, and generalizations	32C16
32V10	CR functions	32C16
32V15	CR manifolds as boundaries of domains	32C16
32V20	Analysis on CR manifolds	32C16
32V25	Extension of functions and other analytic objects from CR manifolds	32C16, 32D15
32V30	Embeddings of CR manifolds	32C16
32V35	Finite type conditions on CR manifolds	32C16
32V40	Real submanifolds in complex manifolds	32F25
32V99	None of the above, but in this section
New	MSC2000	1991 MSC
32WXX	Differential operators in several variables
32W05	$\overline\partial$ and $\overline\partial$-Neumann operators	32F20, 35N15
32W10	$\overline\partial_b$ and $\overline\partial_b$-Neumann operators	32F20, 35N15
32W20	Complex Monge-Amp\`ere operators	32F07, 35J99
32W25	Pseudodifferential operators in several complex variables	35S05
32W30	Heat kernels in several complex variables	58G11, 35K99
32W50	Other partial differential equations of complex analysis	35A20
32W99	None of the above, but in this section
New	MSC2000	1991 MSC
33B30	Higher logarithm functions	33B99, 33E20
33C47	Other special orthogonal polynomials and functions	33C45
33C52	Orthogonal polynomials and functions associated with root systems	33C50, 33C80
33C67	Hypergeometric functions associated with root systems	33C70, 33C80
33D50	Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable	33D45
33D52	Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)	33D80
33D67	Basic hypergeometric functions associated with root systems	33D80
33E12	Mittag-Leffler functions and generalizations	33E15
33E17	Painlev\'e-type functions	33E30
33E50	Special functions in characteristic $p$ (gamma functions, etc.)	33E99
33FXX	Computational aspects	33-04
33F05	Numerical approximation	33-04
33F10	Symbolic computation (Gosper and Zeilberger algorithms, etc.)	33C99, 33Cxx, 68W30
33F99	None of the above, but in this section	33-04
New	MSC2000	1991 MSC
34A36	Discontinuous equations	34A99
New	MSC2000	1991 MSC
34B07	Linear boundary value problems with nonlinear dependence on the spectral parameter	34B05, 34B99
34B08	Multi-parameter boundary value problems	34B05, 34B99
34B09	Boundary value problems with an indefinite weight	34B05, 34B99
34B16	Singular nonlinear boundary value problems	34B15, 34B99
34B18	Positive solutions of nonlinear boundary value problems	34B15
34B37	Boundary value problems with impulses	34A37, 34B05, 34B15, 34B99
34B40	Boundary value problems on infinite intervals	34B05, 34B15, 34B99
34B45	Boundary value problems on graphs and networks	34B05, 34B99
34B60	Applications	34B99
New	MSC2000	1991 MSC
34C07	Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)	34C05, 58F21
34C08	Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)	14P99, 34C05, 58F21
34C12	Monotone systems	34C35, 34C99
34C14	Symmetries, invariants	34A26, 34C99, 58F35
34C26	Relaxation oscillations	34C15, 34C99, 34E99
34C41	Equivalence, asymptotic equivalence	34C99, 34E99
34C55	Hysteresis	34C99, 47H30
34C60	Applications	34C99, 58F40
New	MSC2000	1991 MSC
34D09	Dichotomy, trichotomy	34C11, 34D99
34D23	Global stability	34D99, 58F12
New	MSC2000	1991 MSC
34E13	Multiple scale methods	34E99
34E18	Methods of nonstandard analysis	03H05, 34E99
New	MSC2000	1991 MSC
34G25	Evolution inclusions	34A60, 34G20
New	MSC2000	1991 MSC
34K06	Linear functional-differential equations	34K05
34K07	Theoretical approximation of solutions	34A45, 34K05, 34K99
34K11	Oscillation theory	34C10, 34K15
34K12	Growth, boundedness, comparison of solutions	34C11, 34K15
34K13	Periodic solutions	34C25, 34K15, 58F22
34K14	Almost periodic solutions	34C27, 34K15
34K17	Transformation and reduction of equations and systems, normal forms	34A25, 34C20, 34K15, 58F36
34K18	Bifurcation theory	34C23, 34K15, 58F14
34K19	Invariant manifolds	34C30, 34K15, 58F99
34K23	Complex (chaotic) behavior of solutions	34D45, 34K15, 58F13
34K26	Singular perturbations	34E15, 34K05, 34K99
34K28	Numerical approximation of solutions	34A45, 34K99, 65Lxx
34K29	Inverse problems	34A55, 34K99
34K45	Equations with impulses	34A37, 34K99
34K60	Applications	34K99
New	MSC2000	1991 MSC
34L16	Numerical approximation of eigenvalues and of other parts of the spectrum	34L99, 65L99
New	MSC2000	1991 MSC
34MXX	Differential equations in the complex domain	30D99, 32G34, 34A20
34M05	Entire and meromorphic solutions	30D99, 34A20
34M10	Oscillation, growth of solutions	30D99, 34A20
34M15	Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)	34A20
34M20	Nonanalytic aspects	34A20
34M25	Formal solutions, transform techniques	34A20
34M30	Asymptotics, summation methods	30E15, 34A20, 34E05, 34E99
34M35	Singularities, monodromy, local behavior of solutions, normal forms	32G34, 32S65, 32S99, 34A20
34M37	Resurgence phenomena	34A20, 34E99
34M40	Stokes phenomena and connection problems (linear and nonlinear)	34A20
34M45	Differential equations on complex manifolds	34A20
34M50	Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)	30E99, 34A20
34M55	Painlev\'e and other special equations; classification, hierarchies; isomonodromic deformations	32G34, 34A20, 34A34
34M60	Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent)	34A20, 34E20
34M99	None of the above, but in this section	34A20
New	MSC2000	1991 MSC
35A17	Parametrices	35A99
35A18	Wave front sets	35A99
35A21	Propagation of singularities	35A20, 35A21
35B33	Critical exponents	35B99
35B34	Resonances	35B99
35B38	Critical points	35B99, 58E05
35B41	Attractors	35B99, 58F12
35B42	Inertial manifolds	35B99
35HXX	Close-to-elliptic equations	35H05
35H10	Hypoelliptic equations	35H05
35H20	Subelliptic equations	35H05
35H30	Quasi-elliptic equations	35H05
35H99	None of the above, but in this section	35H05
35K90	Abstract parabolic evolution equations	35K22, 35K99, 34Gxx, 35R20
35L82	Pseudohyperbolic equations	35L99
35L90	Abstract hyperbolic evolution equations	35L99, 34Gxx, 35R20
35R12	Impulsive partial differential equations	35R10, 35R99
New	MSC2000	1991 MSC
37-XX	Dynamical systems and ergodic theory	28Dxx, 34Cxx, 39-XX, 35Bxx, 54H20, 58Fxx, 70-XX
37-00	General reference works (handbooks, dictionaries, bibliographies, etc.)	28-00, 34-00, 39-00, 54H20, 58-00
37-01	Instructional exposition (textbooks, tutorial papers, etc.)	28-01, 34-01, 39-01, 58-01
37-02	Research exposition (monographs, survey articles)	28-02, 34-02, 39-02, 58-00
37-03	Historical (must also be assigned at least one classification number from Section 01)	28-03, 34-03, 39-03, 58-03
37-04	Explicit machine computation and programs (not the theory of computation or programming)	28-04, 34-04, 39-04, 58-04
37-06	Proceedings, conferences, collections, etc.	28-06, 34-06, 39-06, 58-06
New	MSC2000	1991 MSC
37AXX	Ergodic theory	22D40, 28Dxx, 47A35, 58F11
37A05	Measure-preserving transformations	28D05
37A10	One-parameter continuous families of measure-preserving transformations	28D10
37A15	General groups of measure-preserving transformations	22D40, 28D15, 58F11
37A17	Homogeneous flows	22D40, 28D99, 58F11
37A20	Orbit equivalence, cocycles, ergodic equivalence relations	28D05, 28D10, 28D15
37A25	Ergodicity, mixing, rates of mixing	28D05, 58F11, 60F99
37A30	Ergodic theorems, spectral theory, Markov operators	28D05, 28D10, 28D15, 47A35, 58F11
37A35	Entropy and other invariants, isomorphism, classification	28D20, 47A35, 58F11
37A40	Nonsingular (and infinite-measure preserving) transformations	28D05
37A45	Relations with number theory and harmonic analysis	28D99, 11Kxx
37A50	Relations with probability theory and stochastic processes	60F05, 60F15, 60F20
37A55	Relations with the theory of $C^*$-algebras	28D99, 46L55
37A60	Dynamical systems in statistical mechanics	28D99, 82Cxx
37A99	None of the above, but in this section	28D99
New	MSC2000	1991 MSC
37BXX	Topological dynamics	54H20, 58F99
37B05	Transformations and group actions with special properties (minimality, distality, proximality, etc.)	54H15
37B10	Symbolic dynamics	28D99, 54H20, 58F03, 58F99
37B15	Cellular automata	54H20, 58F08, 68Q80
37B20	Notions of recurrence	34C35, 54H20, 58F99
37B25	Lyapunov functions and stability; attractors, repellers	34C35, 34D20, 34D45, 54H20 58F10, 58F12
37B30	Index theory, Morse-Conley indices	34C35, 55M99, 57R99, 54H20 58F99
37B35	Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets	54H20, 58F99
37B40	Topological entropy	54C70, 54H20, 58F99
37B45	Continua theory in dynamics	54F15, 54H20, 58F99
37B50	Multi-dimensional shifts of finite type, tiling dynamics	28D99, 54H20, 58F99
37B55	Nonautonomous dynamical systems	34C35, 54H20, 58F99
37B99	None of the above, but in this section	54H20, 54H99, 58F99
New	MSC2000	1991 MSC
37CXX	Smooth dynamical systems: general theory	34Cxx, 34Dxx, 57R35, 58Fxx
37C05	Smooth mappings and diffeomorphisms	57R35, 58C25, 58F99
37C10	Vector fields, flows, ordinary differential equations	34C35, 34C40, 57R25, 58F25, 58F99
37C15	Topological and differentiable equivalence, conjugacy, invariants, moduli, classification	34C99, 58F99
37C20	Generic properties, structural stability	34C99, 34D30, 58F10, 58F99
37C25	Fixed points, periodic points, fixed-point index theory	34C05, 55M20, 57R99, 58F03, 58F08, 58F20
37C27	Periodic orbits of vector fields and flows	34C25, 58F22
37C29	Homoclinic and heteroclinic orbits	34C23, 34C37, 58F14, 58F99
37C30	Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems	58F20, 58F99
37C35	Orbit growth	58F99
37C40	Smooth ergodic theory, invariant measures	28D99, 58F11
37C45	Dimension theory of dynamical systems	28A78, 28A99, 58F99
37C50	Approximate trajectories (pseudotrajectories, shadowing, etc.)	58F99
37C55	Periodic and quasiperiodic flows and diffeomorphisms	34C27, 34C35, 58F25, 58F27
37C60	Nonautonomous smooth dynamical systems	34C35, 34C99, 58F99
37C65	Monotone flows	34C35, 58F25
37C70	Attractors and repellers, topological structure	34D45, 54H20, 58F12
37C75	Stability theory	34Dxx, 54H20, 58F12
37C80	Symmetries, equivariant dynamical systems	58F35, 58F99
37C85	Dynamics of group actions other than ${\bf Z}$ and ${\bf R}$, and foliations	57R30, 57Sxx, 58F99
37C99	None of the above, but in this section	34C35, 58F99
New	MSC2000	1991 MSC
37DXX	Dynamical systems with hyperbolic behavior	58F09, 58F15, 58F99
37D05	Hyperbolic orbits and sets	58F09, 58F15
37D10	Invariant manifold theory	58F15, 58F99
37D15	Morse-Smale systems	58F09
37D20	Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)	58F15, 58F99
37D25	Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)	58F15, 58F99
37D30	Partially hyperbolic systems and dominated splittings	58F15, 58F99
37D35	Thermodynamic formalism, variational principles, equilibrium states	58F11, 58F15, 58F99
37D40	Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)	58F17
37D45	Strange attractors, chaotic dynamics	58F12, 58F13, 58F14
37D50	Hyperbolic systems with singularities (billiards, etc.)	58F15, 58F99
37D99	None of the above, but in this section	58F15, 58F99
New	MSC2000	1991 MSC
37EXX	Low-dimensional dynamical systems	58Fxx
37E05	Maps of the interval (piecewise continuous, continuous, smooth)	26A18, 39B12, 58F03, 58F08, 58F99
37E10	Maps of the circle	58F03, 58F99
37E15	Combinatorial dynamics (types of periodic orbits)	58F99
37E20	Universality, renormalization	58F99
37E25	Maps of trees and graphs	58F99
37E30	Homeomorphisms and diffeomorphisms of planes and surfaces	59F99
37E35	Flows on surfaces	34C35, 57R99, 58F99
37E40	Twist maps	58F99
37E45	Rotation numbers and vectors	58F99
37E99	None of the above, but in this section	58F99
New	MSC2000	1991 MSC
37FXX	Complex dynamical systems	30D05, 32H50, 58F23
37F05	Relations and correspondences	32H50, 58F23
37F10	Polynomials; rational maps; entire and meromorphic functions	30D05, 32H50, 58F23
37F15	Expanding maps; hyperbolicity; structural stability	30D05, 32H50, 58F23
37F20	Combinatorics and topology	30D05, 32H50, 58F23
37F25	Renormalization	30D05, 32H50, 58F23
37F30	Quasiconformal methods and Teichm\"uller theory; Fuchsian and Kleinian groups as dynamical systems	30C99, 30F35, 30F40, 30F60, 58F23
37F35	Conformal densities and Hausdorff dimension	30D05, 32H50, 58F23
37F40	Geometric limits	30D05, 32H50, 58F23
37F45	Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations	30D05, 32H50, 58F23
37F50	Small divisors, rotation domains and linearization; Fatou and Julia sets	30D05, 32H50, 58F23
37F75	Holomorphic foliations and vector fields	32S65, 34A20, 58F18
37F99	None of the above, but in this section	30D05, 32H50, 58F23
New	MSC2000	1991 MSC
37GXX	Local and nonlocal bifurcation theory	34C23, 58F14
37G05	Normal forms	34C20, 58F36
37G10	Bifurcations of singular points	34C23, 58F14
37G15	Bifurcations of limit cycles and periodic orbits	34C05, 34C23, 34C25, 58F14, 58F21, 58F22
37G20	Hyperbolic singular points with homoclinic trajectories	34C23, 34C37, 58F14
37G25	Bifurcations connected with nontransversal intersection	34C23, 58F14
37G30	Infinite nonwandering sets arising in bifurcations	34C23, 58F14
37G35	Attractors and their bifurcations	58F12, 58F14
37G40	Symmetries, equivariant bifurcation theory	34C23, 58F14, 58F35
37G99	None of the above, but in this section	34C23, 58F14
New	MSC2000	1991 MSC
37HXX	Random dynamical systems	34F05, 34K50, 35R60, 39A99, 47B80, 47H40, 58F99, 60H10, 60H15, 60H99, 93Exx
37H05	Foundations, general theory of cocycles, algebraic ergodic theory	22D40, 28D15, 58F11, 58F99
37H10	Generation, random and stochastic difference and differential equations	34F05, 34K50, 39A99, 35R60, 60H10, 60H15, 60H99, 93Exx
37H15	Multiplicative ergodic theory, Lyapunov exponents	28D99, 34D08, 34F05, 58F11
37H20	Bifurcation theory	34C23, 34F05, 34K50, 39A99, 35R60, 58F14
37H99	None of the above, but in this section	34F05, 34K50, 35R60, 39A99, 47B80, 47H40, 58F99, 60H10, 60H15, 60H99, 93Exx
New	MSC2000	1991 MSC
37JXX	Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems	58F05, 58F07, 70Fxx, 70Hxx
37J05	General theory, relations with symplectic geometry and topology	53C15, 58F05, 70Gxx, 70H05
37J10	Symplectic mappings, fixed points	58F05, 70H05, 70H15
37J15	Symmetries, invariants, invariant manifolds, momentum maps, reduction	58F05, 58F35, 70H05, 70H33
37J20	Bifurcation problems	34C23, 58F05, 58F14, 70H05, 70K99
37J25	Stability problems	34Dxx, 58F05, 58F12, 70K15, 70K20
37J30	Obstructions to integrability (nonintegrability criteria)	58F05, 58F07, 70H05
37J35	Completely integrable systems, topological structure of phase space, integration methods	58F05, 58F07, 70H05
37J40	Perturbations, normal forms, small divisors, KAM theory, Arnol\cprime d diffusion	34C29, 34C99, 58F05, 58F27, 58F30, 70H05, 70K99
37J45	Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods	34C25, 34C37, 58F05, 58F14, 58F22
37J50	Action-minimizing orbits and measures	58E99, 58F05, 58F99
37J55	Contact systems	53C15, 58F99, 70F99, 70H99
37J60	Nonholonomic dynamical systems	58F99, 70F25
37J99	None of the above, but in this section	58F99, 70H99
New	MSC2000	1991 MSC
37KXX	Infinite-dimensional Hamiltonian systems	35A15, 35A30, 35B99, 35Qxx, 58E99, 58F05, 58F07, 58F39
37K05	Hamiltonian structures, symmetries, variational principles, conservation laws	35A15, 35A30, 35Qxx, 58F05, 58F07, 58F37, 58F39
37K10	Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)	35Q51, 35Q53, 35Q55, 35Q58, 58F07
37K15	Integration of completely integrable systems by inverse spectral and scattering methods	34A55, 34L40, 34L25, 35Q51, 35Q53, 35Q55, 35Q58, 58F07
37K20	Relations with algebraic geometry, complex analysis, special functions	14H99, 35Qxx, 58F07
37K25	Relations with differential geometry	53C99, 35Qxx, 58F07
37K30	Relations with infinite-dimensional Lie algebras and other algebraic structures	17B99, 35Qxx, 58F07
37K35	Lie-B\"acklund and other transformations	35A30, 35Q51, 35Q53, 35Q55, 35Q58, 58F37, 58G37
37K40	Soliton theory, asymptotic behavior of solutions	35B40, 35Q51, 35Q53, 35Q55, 35Q58, 58F07
37K45	Stability problems	35B35, 35Qxx, 58D25, 58F07, 58F12, 58F39
37K50	Bifurcation problems	35B32, 35Qxx, 58D25, 58F14, 58F39
37K55	Perturbations, KAM for infinite-dimensional systems	35B20, 35Qxx, 58D25, 58F30, 58F39
37K60	Lattice dynamics	35Q99, 58F39, 70K99
37K65	Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics	58D05, 58D25, 58F05
37K99	None of the above, but in this section	35Qxx, 58F05, 58F99
New	MSC2000	1991 MSC
37LXX	Infinite-dimensional dissipative dynamical systems	34G20, 35Bxx, 35Qxx, 47H20, 58D25, 58F39
37L05	General theory, nonlinear semigroups, evolution equations	34G20, 35Bxx, 35K22, 35L99, 47H20, 58D25, 58F39
37L10	Normal forms, center manifold theory, bifurcation theory	34G20, 35B32, 58D25, 58F14, 58F36, 58F39
37L15	Stability problems	34G20, 35B35, 58D25, 58F12, 58F39
37L20	Symmetries	34G20, 35A30, 58D25, 58F35, 58F39
37L25	Inertial manifolds and other invariant attracting sets	34G20, 35B40, 58D25, 58F12, 58F39
37L30	Attractors and their dimensions, Lyapunov exponents	34G20, 35B40, 58F12, 58F39
37L40	Invariant measures	35B99, 58D25, 58F39
37L45	Hyperbolicity; Lyapunov functions	35B99, 58F15, 58F39
37L50	Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems	34G20, 47H20, 58D25, 58F30, 58F39
37L55	Infinite-dimensional random dynamical systems; stochastic equations	35R60, 60H10, 60H15
37L60	Lattice dynamics	35Q99, 58F99, 70K99, 82C99
37L65	Special approximation methods (nonlinear Galerkin, etc.)	35A35, 58F39, 58F99, 65M99
37L99	None of the above, but in this section	34G20, 35Bxx, 35Qxx, 47H20, 58D25, 58F39
New	MSC2000	1991 MSC
37MXX	Approximation methods and numerical treatment of dynamical systems	58F99, 65-XX, 70-08
37M05	Simulation	58F99, 65C20, 65C99
37M10	Time series analysis	58F99, 65U05
37M15	Symplectic integrators	58F99, 65L99
37M20	Computational methods for bifurcation problems	58F14, 58F99, 65L99
37M25	Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy)	58F99
37M99	None of the above, but in this section	58F99, 65-XX
New	MSC2000	1991 MSC
37NXX	Applications	58F40
37N05	Dynamical systems in classical and celestial mechanics	58F05, 58F40, 70F15, 70Hxx, 70Kxx
37N10	Dynamical systems in fluid mechanics, oceanography and meteorology	58F40, 76-XX, 86A05, 86A10
37N15	Dynamical systems in solid mechanics	58F40, 73-XX
37N20	Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)	58F40, 78-XX, 81-XX, 83-XX
37N25	Dynamical systems in biology	58F40, 92-XX
37N30	Dynamical systems in numerical analysis	58F40, 65-XX
37N35	Dynamical systems in control	58F40, 49-XX, 93-XX
37N40	Dynamical systems in optimization and economics	58F40, 90-XX
37N99	None of the above, but in this section	58F40
New	MSC2000	1991 MSC
39A13	Difference equations, scaling ($q$-differences)	39A10, 39A70
39A20	Multiplicative and other generalized difference equations, e.g. of Lyness type	39A10, 39A70
39B55	Orthogonal additivity and other conditional equations	39B05, 39B42, 39B52
39B82	Stability, separation, extension, and related topics	39B10, 46A22
New	MSC2000	1991 MSC
42B35	Function spaces arising in harmonic analysis	42B99
42C40	Wavelets	42C15, 42C99
New	MSC2000	1991 MSC
45Q05	Inverse problems	35R30, 45A05
45R05	Random integral equations	60H20
New	MSC2000	1991 MSC
46A61	Graded Fr\'echet spaces and tame operators	46A04, 46A99
46A63	Topological invariants ((DN), ($\Omega$), etc.)	46A04, 46A99
46B50	Compactness in Banach (or normed) spaces	46A50, 46B99
46C07	Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.)	46C05, 46C99, 46B70, 46M35
46F30	Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)	46F05, 46F10, 46F99
46G25	(Spaces of) multilinear mappings, polynomials	46B28, 46G20, 46E50
46L06	Tensor products of $C^*$-algebras	46L05, 46M05
46L07	Operator spaces and completely bounded maps	46L05, 46B28, 47D15, 47D25
46L08	$C^*$-modules	46L05, 46H25
46L09	Free products of $C^*$-algebras	46L05, 46M99
46L51	Noncommutative measure and integration	46L50
46L52	Noncommutative function spaces	46L50
46L53	Noncommutative probability and statistics	46L50
46L54	Free probability and free operator algebras	46L50
46L65	Quantizations, deformations	46L60, 46L99
46M18	Homological methods (exact sequences, right inverses, lifting, etc.)	46M20, 46M99
46S60	Functional analysis on superspaces (supermanifolds) or graded spaces	46S99, 58A50, 58C50
46TXX	Nonlinear functional analysis	46Gxx, 58Cxx, 58Dxx, 58Bxx
46T05	Infinite-dimensional manifolds	58Bxx, 58Dxx
46T10	Manifolds of mappings	58Dxx
46T12	Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds	28C20, 46G12, 60Hxx
46T20	Continuous and differentiable maps	46G05, 58Cxx
46T25	Holomorphic maps	46G20, 58C10
46T30	Distributions and generalized functions on nonlinear spaces	46Fxx, 58C99
46T99	None of the above, but in this section	46G99, 58B99, 58C99, 58D99
New	MSC2000	1991 MSC
47A06	Linear relations (multivalued linear operators)	47A05, 47A99
47A07	Forms (bilinear, sesquilinear, multilinear)	47A05, 47A99
47A16	Cyclic and hypercyclic vectors	47A99, 47B99
47A46	Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.	47A15, 47A45, 47A99
47A52	Ill-posed problems, regularization	47A50, 65J10, 65J20
47A63	Operator inequalities	47A63
47A64	Operator means, shorted operators, etc.	47A63
New	MSC2000	1991 MSC
47B32	Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)	47A45, 47B38, 46E22
47B33	Composition operators	47B38
47B34	Kernel operators	47B38
47B36	Jacobi (tridiagonal) operators (matrices) and generalizations	39A70, 47B25, 47B37, 47B39
New	MSC2000	1991 MSC
47D08	Schr\"odinger and Feynman-Kac semigroups	35J10, 47D06, 47D07
47D60	$C$-semigroups	47D03, 47D06
47D62	Integrated semigroups	47D03, 47D06
New	MSC2000	1991 MSC
47H14	Perturbations of nonlinear operators	47H15, 47H99
47H50	Potential operators	47H15, 47H99
47H60	Multilinear and polynomial operators	46G20, 47H99
New	MSC2000	1991 MSC
47JXX	Equations and inequalities involving nonlinear operators \SeeAlso{\SbjNo 46Txx}	47H15, 47H19
47J05	Equations involving nonlinear operators (general)	47H15
47J06	Nonlinear ill-posed problems	47H15, 47H17, 65J15, 65J20
47J07	Abstract inverse mapping and implicit function theorems	46G05, 47H15, 58C15
47J10	Nonlinear eigenvalue problems	47H12, 58E07, 58E09
47J15	Abstract bifurcation theory	47H15, 58E07, 58E09
47J20	Variational and other types of inequalities involving nonlinear operators (general)	47H19, 49J40
47J25	Methods for solving nonlinear operator equations (general)	47H17, 65J15
47J30	Variational methods	47H15, 58Exx
47J35	Nonlinear evolution equations	34G20, 35R20, 58D25
47J40	Equations with hysteresis operators	47H30
47J99	None of the above, but in this section	47H99
New	MSC2000	1991 MSC
47LXX	Linear spaces and algebras of operators	46B28, 46Lxx, 47D15, 47D25, 47D30
47L05	Linear spaces of operators	46B28, 47D15
47L07	Convex sets and cones of operators	47D20
47L10	Algebras of operators on Banach spaces and other topological linear spaces	47D30
47L15	Operator algebras with symbol structure	46L99, 47D25, 47D30
47L20	Operator ideals	47D50
47L25	Operator spaces (= matricially normed spaces)	46L05, 47D25
47L30	Abstract operator algebras on Hilbert spaces	46Lxx, 47D25
47L35	Nest algebras, CSL algebras	47D25
47L40	Limit algebras, subalgebras of $C^*$-algebras	46L05, 47D25
47L45	Dual algebras; weakly closed singly generated operator algebras	47D27
47L50	Dual spaces of operator algebras	47D35
47L55	Representations of (nonselfadjoint) operator algebras	47D25
47L60	Algebras of unbounded operators; partial algebras of operators	47D40
47L65	Crossed product algebras (analytic crossed products)	46L05, 46L55, 47D25
47L70	Nonassociative nonselfadjoint operator algebras	46K99, 47D25
47L75	Other nonselfadjoint operator algebras	47D25
47L80	Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)	46L05, 47B35, 47D30, 47D25, 47G10, 47G30
47L90	Applications of operator algebras to physics	47D45, 47N50, 47N55
47L99	None of the above, but in this section	47D99
New	MSC2000	1991 MSC
49J53	Set-valued and variational analysis	49J52, 49J27, 49K27
49N70	Differential games	90D25
49N75	Pursuit and evasion games	90D26
49N90	Applications of optimal control and differential games	49N55, 90D80
49R50	Variational methods for eigenvalues of operators	49Rxx, 49R05, 49R10, 49R15 49R20 49R99
New	MSC2000	1991 MSC
52B22	Shellability	52B30, 52B11, 52B40, 52B20
52C23	Quasicrystals, aperiodic tilings	52C20, 52C22
52C26	Circle packings and discrete conformal geometry	52C15, 52C17
52C30	Planar arrangements of lines and pseudolines	52B30, 52B40
52C35	Arrangements of points, flats, hyperplanes	52B30, 52B40
52C40	Oriented matroids	52B40
52C45	Combinatorial complexity of geometric structures	52B55, 68U05
New	MSC2000	1991 MSC
53C17	Sub-Riemannian geometry	53C20
53C24	Rigidity results	53C20, 53C23
53C26	Hyper-K\"ahler and quaternionic K\"ahler geometry, ``special'' geometry	53C25, 53C55
53C27	Spin and Spin$^c$ geometry	53C25, 57R15
53C28	Twistor methods	32L25, 53C56
53C29	Issues of holonomy	53C05, 53C10
53C38	Calibrations and calibrated geometries	53C42
53C43	Differential geometric aspects of harmonic maps	58E20
53C44	Geometric evolution equations (mean curvature flow)	58E12, 53C21, 35
53DXX	Symplectic geometry, contact geometry	58F05, 53C15
53D05	Symplectic manifolds, general	58F05, 70H05
53D10	Contact manifolds, general	58F05, 70H05
53D12	Lagrangian submanifolds; Maslov index	58F05, 70H05
53D15	Almost contact and almost symplectic manifolds	53C15
53D17	Poisson manifolds	58F05, 70H05
53D20	Momentum maps; symplectic reduction	58F05, 70H05, 70H33
53D22	Canonical transformations	58F05, 70H15
53D25	Geodesic flows	58F17
53D30	Symplectic structures of moduli spaces	58D27, 58F05
53D35	Global theory of symplectic and contact manifolds	57R15, 57R57
53D40	Floer homology and cohomology, symplectic aspects	58E05, 58D10
53D45	Gromov-Witten invariants, quantum cohomology, Frobenius manifolds	58D29, 58D10, 14N10
53D50	Geometric quantization	58F06, 81S10
53D55	Deformation quantization, star products	58F06, 81S10
53D99	None of the above, but in this section	58F05
New	MSC2000	1991 MSC
55N34	Elliptic cohomology	55N35, 55N20, 58G10, 58G12, 11F11
55P43	Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.)	55P42, 55U35, 55P47
55P48	Loop space machines, operads	55P47, 55U35, 55P42
55P57	Proper homotopy theory	55P15, 55P99, 55P55
55P92	Relations between equivariant and nonequivariant homotopy theory	55P91
55Q51	$v_n$-periodicity	55P42, 55Q10, 55N22, 55N20
55R37	Maps between classifying spaces	55R35
55R70	Fibrewise topology	55Rxx
55R80	Discriminantal varieties, configuration spaces	55R35, 55R99, 57M25, 57R45
New	MSC2000	1991 MSC
57M27	Invariants of knots and 3-manifolds	57M25, 57N10
57N16	Geometric structures on manifolds	57M50, 57N05, 57N10, 57N13, 57N15, 57N70
57R17	Symplectic and contact topology	57R15
57R56	Topological quantum field theories	57R57, 58D29
57R58	Floer homology	57R57, 55N35, 58E05
New	MSC2000	1991 MSC
58A32	Natural bundles	58A05, 58A20
New	MSC2000	1991 MSC
58B32	Geometry of quantum groups	58B30
58B34	Noncommutative geometry (\`a la Connes)	58B30
New	MSC2000	1991 MSC
58JXX	Partial differential equations on manifolds; differential operators	58Gxx
58J05	Elliptic equations on manifolds, general theory	58G03
58J10	Differential complexes	58G05
58J15	Relations with hyperfunctions	58G07
58J20	Index theory and related fixed point theorems	58G10
58J22	Exotic index theories	58G12
58J26	Elliptic genera	11F11, 58G10, 58G12
58J28	Eta-invariants, Chern-Simons invariants	58G10, 58G25
58J30	Spectral flows	58G10, 58G25
58J32	Boundary value problems on manifolds	58G20
58J35	Heat and other parabolic equation methods	58G11
58J37	Perturbations; asymptotics	58G18
58J40	Pseudodifferential and Fourier integral operators on manifolds	58G15
58J42	Noncommutative global analysis, noncommutative residues	58G15, 58B30
58J45	Hyperbolic equations	58G16
58J47	Propagation of singularities; initial value problems	58G17
58J50	Spectral problems; spectral geometry; scattering theory	58G25
58J52	Determinants and determinant bundles, analytic torsion	58G26
58J53	Isospectrality	58G25
58J55	Bifurcation	58G28
58J60	Relations with special manifold structures (Riemannian, Finsler, etc.)	58G30
58J65	Diffusion processes and stochastic analysis on manifolds	58G32
58J70	Invariance and symmetry properties	58G35
58J72	Correspondences and other transformation methods (e.g. Lie-B\"acklund)	58G37
58J90	Applications	58G40
58J99	None of the above, but in this section	58G99
New	MSC2000	1991 MSC
58KXX	Theory of singularities and catastrophe theory	58C27, 58C28, 58F14
58K05	Critical points of functions and mappings	58C27, 32S05
58K10	Monodromy	58C27
58K15	Topological properties of mappings	58C27
58K20	Algebraic and analytic properties of mappings	58C27, 32S05, 32S15
58K25	Stability	58C27
58K30	Global theory	58C27, 57R45
58K35	Catastrophe theory	58C28
58K40	Classification; finite determinacy of map germs	58C27
58K45	Singularities of vector fields, topological aspects	58F14, 58C27
58K50	Normal forms	58F36, 58C27
58K55	Asymptotic behavior	58C27, 58G18
58K60	Deformation of singularities	58C27, 32S39
58K65	Topological invariants	58C27
58K70	Symmetries, equivariance	58C27
58K99	None of the above, but in this section	58C27
New	MSC2000	1991 MSC
60-08	Computational methods (not classified at a more specific level)	60-04
60G51	Processes with independent increments	60J30
60G52	Stable processes	60G99
60H35	Computational methods for stochastic equations	60H10, 60H15, 60H20, 60H99
60H40	White noise theory	60G99, 60H99
60J22	Computational methods in Markov chains	60J10, 60J27, 60-04
60K37	Processes in random environments	60K99, 60J80
New	MSC2000	1991 MSC
62A01	Foundational and philosophical topics	62Axx
62F40	Bootstrap, jackknife and other resampling methods	62F99, 62G09
62G08	Nonparametric regression	62G05, 62J02, 62G99
62G32	Statistics of extreme values; tail inference	62G30, 62G99
62H35	Image analysis	62H99, 62M40
62K20	Response surface designs	62K05, 62K99
62K25	Robust parameter designs	62K99
62M45	Neural nets and related approaches	62M99
62N01	Censored data models	62G99, 62G05, 62G07, 62G10
62N02	Estimation	62G05, 62G07, 62F10, 62F11, 62F12
62N03	Testing	62G10, 62F03, 62F04, 62F05
62P12	Applications to environmental and related topics	62P10, 62P99
62P30	Applications in engineering and industry	62N05, 62N10, 62N99
62P35	Applications to physics	62P99
New	MSC2000	1991 MSC
65CXX	Probabilistic methods, simulation and stochastic differential equations	65Cxx, 65U05
65C30	Stochastic differential and integral equations	65U05, 65L99, 65M99, 65N99, 65R99
65C35	Stochastic particle methods	65C99
65C40	Computational Markov chains	65U05
65C50	Other computational problems in probability	65U05
65C60	Computational problems in statistics	65U05
65D18	Computer graphics and computational geometry	65Y25
65F18	Inverse eigenvalue problems	65F15
65F22	Ill-posedness, regularization	65F20, 65F99
65G20	Algorithms with automatic result verification	65G10, 65G99
65G30	Interval and finite arithmetic	65G10
65G40	General methods in interval analysis	65G10
65G50	Roundoff error	65G05
65J22	Inverse problems	65J20
65L09	Inverse problems	65L08
65L80	Methods for differential-algebraic equations	65L99
65M32	Inverse problems	65M30
65N21	Inverse problems	65N99
65PXX	Numerical problems in dynamical systems	58Fxx, 65Q05
65P10	Hamiltonian systems including symplectic integrators	58F05
65P20	Numerical chaos	58F13
65P30	Bifurcation problems	58E07, 47H17
65P40	Nonlinear stabilities	58F10
65P99	None of the above, but in this section	58F99
65R32	Inverse problems	65R30
65T40	Trigonometric approximation and interpolation	65T10
65T50	Discrete and fast Fourier transforms	65T20
65T60	Wavelets	65T20, 65T99
65Z05	Applications to physics	65P05, 65M99, 65N99
New	MSC2000	1991 MSC
68M01	General	68M05
68M12	Network protocols	68M10
68M14	Distributed systems	68M10
68N01	General	68N05
68N18	Functional programming and lambda calculus	68N15, 03B40
68N19	Other programming techniques (object-oriented, sequential, concurrent, automatic, etc.)	68N99
68N30	Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.)	68N99, 68Q60
68P01	General	68P99, 68Pxx
68P30	Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.)	68P99, 94A29
68Q01	General	68Q99, 68Qxx
68Q17	Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.)	68Q25, 68Q15
68Q19	Descriptive complexity and finite models	03C13
68Q32	Computational learning theory	68T05, 68Q99
68Q85	Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)	68Q10
68R01	General	68R99, 68Rxx
68T37	Reasoning under uncertainty	68T27, 68T30
68T40	Robotics	70B15, 93C85, 68T99
68T45	Machine vision and scene understanding	68U10
68T50	Natural language processing	68S05
68U01	General	68U99, 68Uxx
68U35	Information systems (hypertext navigation, interfaces, decision support, etc.)	68U99
68WXX	Algorithms	68Q20
68W01	General	68Q20
68W05	Nonnumerical algorithms	68Q20
68W10	Parallel algorithms	68Q22
68W15	Distributed algorithms	68Q22
68W20	Randomized algorithms	68Q20
68W25	Approximation algorithms	68Q20
68W30	Symbolic computation and algebraic computation	68Q40
68W35	VLSI algorithms	68Q35
68W40	Analysis of algorithms	68Q25
68W99	None of the above, but in this section	68Q20
New	MSC2000	1991 MSC
70E17	Motion of a rigid body with a fixed point	70E15
70E18	Motion of a rigid body in contact with a solid surface	70E15, 70F25
70E40	Integrable cases of motion	70E15, 70H05, 58F07
70E45	Higher-dimensional generalizations	70E15, 58F05, 58F07
70E50	Stability problems	34Dxx, 70K15, 70K20
70E55	Dynamics of multibody systems	70E99
70E60	Robot dynamics and control	70B15, 70Q05, 93C85
New	MSC2000	1991 MSC
70F16	Collisions in celestial mechanics, regularization	70F10, 70F15, 70F35
70F17	Inverse problems	70F99
70F40	Problems with friction	70F99
70F45	Infinite particle systems	70F99, 70H05, 58F05, 58F99
New	MSC2000	1991 MSC
70G40	Topological and differential-topological methods	57R99, 58F05, 58F07, 58F99, 70H99
70G45	Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.)	53C15, 53C80, 58F05, 70G05
70G55	Algebraic geometry methods	58F99, 70H99
70G60	Dynamical systems methods	34C35, 58F05, 58F40
70G65	Symmetries, Lie-group and Lie-algebra methods	22E70, 58F35, 70H33
70G70	Functional-analytic methods	47H99, 70H99
70G75	Variational methods	49J40, 49S05, 58E99, 70H25, 70H30
New	MSC2000	1991 MSC
70H03	Lagrange's equations	70H35, 58F05
70H06	Completely integrable systems and methods of integration	58F05, 58F07, 70H05
70H07	Nonintegrable systems	34C99, 58F05, 70H05
70H08	Nearly integrable Hamiltonian systems, KAM theory	34C99, 58F05, 58F30, 70H05
70H09	Perturbation theories	34C29, 58F05, 58F30, 70H05
70H11	Adiabatic invariants	34C99, 34E99, 70H05, 70K99
70H12	Periodic and almost periodic solutions	34C25, 34C27, 58F22, 70H05
70H14	Stability problems	34D99, 58F12, 70K15, 70K20
70H45	Constrained dynamics, Dirac's theory of constraints	58F99, 70F20, 70F25, 70G99, 70H99
70H50	Higher-order theories	58F05, 70H99
New	MSC2000	1991 MSC
70J50	Systems arising from the discretization of structural vibration problems	70J99, 73K12
New	MSC2000	1991 MSC
70K42	Equilibria and periodic trajectories	34C05, 34C25, 70K05, 70K10
70K43	Quasi-periodic motions and invariant tori	34C27, 58F27, 58F30, 70H05
70K44	Homoclinic and heteroclinic trajectories	34C37, 58F14, 70K99
70K45	Normal forms	34C20, 58F05, 58F36, 70H05
70K55	Transition to stochasticity (chaotic behavior)	58F13, 70K50
70K60	General perturbation schemes	34C29, 58F30, 70H05, 70K99
70K65	Averaging of perturbations	34C29, 58F30, 70H05, 70K99
70K70	Systems with slow and fast motions	34C29, 34E99, 70K99
70K75	Nonlinear modes	34C15, 70K99
New	MSC2000	1991 MSC
70SXX	Classical field theories	70G50, 78A25, 81T13
70S05	Lagrangian formalism and Hamiltonian formalism	58F05, 70G50, 70H05
70S10	Symmetries and conservation laws	58E15, 58F35, 70H33, 81T13
70S15	Yang-Mills and other gauge theories	58E15, 70G50, 81T13
70S20	More general nonquantum field theories	70G50, 81T99
70S99	None of the above, but in this section	70G50
New	MSC2000	1991 MSC
74-XX	Mechanics of deformable solids	73-XX
74-00	General reference works (handbooks, dictionaries, bibliographies, etc.)	73-00
74-01	Instructional exposition (textbooks, tutorial papers, etc.)	73-01
74-02	Research exposition (monographs, survey articles)	73-02
74-03	Historical (must also be assigned at least one classification number from Section 01)	73-03
74-04	Explicit machine computation and programs (not the theory of computation or programming)	73-04
74-05	Experimental work	73-05
74-06	Proceedings, conferences, collections, etc.	73-06
New	MSC2000	1991 MSC
74AXX	Generalities, axiomatics, foundations of continuum mechanics of solids	73A05, 73Bxx
74A05	Kinematics of deformation	73A05, 73B99
74A10	Stress	73A05, 73B99
74A15	Thermodynamics	73B30, 80A10, 80A15
74A20	Theory of constitutive functions	73B05
74A25	Molecular, statistical, and kinetic theories	73B99, 82B99, 82C99
74A30	Nonsimple materials	73B18
74A35	Polar materials	73B25
74A40	Random materials and composite materials	73B27, 73B35, 73K20
74A45	Theories of fracture and damage	73M25
74A50	Structured surfaces and interfaces, coexistent phases	73B30, 80A22, 82B26, 82B99
74A55	Theories of friction (tribology)	73T05
74A60	Micromechanical theories	73S10
74A65	Reactive materials	80A99, 92E99
74A99	None of the above, but in this section	73A05, 73B99
New	MSC2000	1991 MSC
74BXX	Elastic materials	73Cxx
74B05	Classical linear elasticity	73C02
74B10	Linear elasticity with initial stresses	73C99
74B15	Equations linearized about a deformed state (small deformations superposed on large)	73C02, 73C50, 73C99
74B20	Nonlinear elasticity	73C50
74B99	None of the above, but in this section	73C99
New	MSC2000	1991 MSC
74CXX	Plastic materials, materials of stress-rate and internal-variable type	73Exx, 73G20, 73G99
74C05	Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)	73E05, 73E99
74C10	Small-strain, rate-dependent theories (including theories of viscoplasticity)	73E60, 73E99
74C15	Large-strain, rate-independent theories (including nonlinear plasticity)	73E99, 73G20, 73G99
74C20	Large-strain, rate-dependent theories	73E99, 73G99
74C99	None of the above, but in this section	73E99, 73G99
New	MSC2000	1991 MSC
74DXX	Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)	73Fxx, 73G25 73G99
74D05	Linear constitutive equations	73F05, 73Fxx
74D10	Nonlinear constitutive equations	73G25, 73G99
74D99	None of the above, but in this section	73F99, 73G99
New	MSC2000	1991 MSC
74EXX	Material properties given special treatment	73Bxx
74E05	Inhomogeneity	73B27
74E10	Anisotropy	73B40
74E15	Crystalline structure	73B99
74E20	Granularity	73B99, 73E99
74E25	Texture	73B99
74E30	Composite and mixture properties	73B27, 73B99, 73K20
74E35	Random structure	73B35
74E40	Chemical structure	80A99, 92E99
74E99	None of the above, but in this section	73B99
New	MSC2000	1991 MSC
74FXX	Coupling of solid mechanics with other effects	73-XX
74F05	Thermal effects	73B30
74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)	73K70, 76S05
74F15	Electromagnetic effects	73R05, 78A99
74F20	Mixture effects	73B99, 80A99
74F25	Chemical and reactive effects	80A99, 92E99
74F99	None of the above, but in this section	73B99
New	MSC2000	1991 MSC
74GXX	Equilibrium (steady-state) problems	73Cxx, 73E99, 73F99, 73G99
74G05	Explicit solutions	73C02, 73E99, 73F99, 73G99
74G10	Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)	73C99, 73E99, 73F99, 73G99
74G15	Numerical approximation of solutions	73Vxx
74G20	Local existence of solutions (near a given solution)	35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G25	Global existence of solutions	35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G30	Uniqueness of solutions	35Q72, 73C15, 73C35, 73E99, 73F99, 73G99
74G35	Multiplicity of solutions	35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G40	Regularity of solutions	35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G45	Bounds for solutions	35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G50	Saint-Venant's principle	73C10
74G55	Qualitative behavior of solutions	35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G60	Bifurcation and buckling	73C99, 73E99, 73F99, 73G99, 73H05
74G65	Energy minimization	73C99, 73E99, 73F99, 73G99, 73V25
74G70	Stress concentrations, singularities	73B50, 73C99
74G75	Inverse problems	35Q72, 35R30, 73C99
74G99	None of the above, but in this section	73C99, 73E99, 73F99, 73G99
New	MSC2000	1991 MSC
74HXX	Dynamical problems	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H05	Explicit solutions	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H10	Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)	73C99, 73D99
74H15	Numerical approximation of solutions	73Vxx
74H20	Existence of solutions	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H25	Uniqueness of solutions	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H30	Regularity of solutions	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H35	Singularities, blowup, stress concentrations	35Q72, 73B50, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H40	Long-time behavior of solutions	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H45	Vibrations	73D30, 73D35, 73K12
74H50	Random vibrations	73D99, 73K35
74H55	Stability	35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx, 73H10
74H60	Dynamical bifurcation	73D99, 73H10
74H65	Chaotic behavior	58F13, 58F40, 73D35, 73K12
74H99	None of the above, but in this section	73C99, 73D99
New	MSC2000	1991 MSC
74JXX	Waves	73Dxx, 73E50, 73F15, 73Gxx
74J05	Linear waves	35Q72, 73D99
74J10	Bulk waves	73D15
74J15	Surface waves	73D20
74J20	Wave scattering	35P25, 35Q72, 73D25
74J25	Inverse problems	35Q72, 35R30, 73D50
74J30	Nonlinear waves	35Q72, 73D99
74J35	Solitary waves	35Q51, 73D35, 73D99
74J40	Shocks and related discontinuities	35Q72, 35L67, 73D05, 73D40
74J99	None of the above, but in this section	35Q72, 73D99
New	MSC2000	1991 MSC
74KXX	Thin bodies, structures	73Kxx
74K05	Strings	73K03
74K10	Rods (beams, columns, shafts, arches, rings, etc.)	73K05
74K15	Membranes	73K10
74K20	Plates	73K10
74K25	Shells	73K15
74K30	Junctions	73K99
74K35	Thin films	73C99, 73K99
74K99	None of the above, but in this section	73K99
New	MSC2000	1991 MSC
74LXX	Special subfields of solid mechanics	73-XX
74L05	Geophysical solid mechanics	73N20
74L10	Soil and rock mechanics	73Q05
74L15	Biomechanical solid mechanics	73P20, 92C10
74L99	None of the above, but in this section	73-XX
New	MSC2000	1991 MSC
74MXX	Special kinds of problems	73-XX
74M05	Control, switches and devices (``smart materials'')	73K50, 93C20, 93C95
74M10	Friction	70F99, 73T05
74M15	Contact	73T05
74M20	Impact	73D05
74M25	Micromechanics	73S10
74M99	None of the above, but in this section	73-XX
New	MSC2000	1991 MSC
74NXX	Phase transformations in solids	73B30, 80A22, 82B26, 82C26
74N05	Crystals	73B10, 73B99, 73C50, 82D25
74N10	Displacive transformations	73B30
74N15	Analysis of microstructure	73B30, 73B99, 73S10
74N20	Dynamics of phase boundaries	73B30, 80A22
74N25	Transformations involving diffusion	73B30, 80A20, 80A22
74N30	Problems involving hysteresis	73B30, 47H30, 80A99
74N99	None of the above, but in this section	73B30
New	MSC2000	1991 MSC
74PXX	Optimization	49Q10, 49Q99, 73K40
74P05	Compliance or weight optimization	49Q10, 49Q99, 73K40
74P10	Optimization of other properties	49Q10, 49Q99, 73K40
74P15	Topological methods	49Q10, 49Q99, 73K40
74P20	Geometrical methods	49Q10, 49Q99, 73K40
74P99	None of the above, but in this section	49Q10, 49Q99, 73K40
New	MSC2000	1991 MSC
74QXX	Homogenization, determination of effective properties	35B27, 73B27, 73K20
74Q05	Homogenization in equilibrium problems	35B27, 73B27, 73K20
74Q10	Homogenization and oscillations in dynamical problems	35B27, 73B27, 73K20
74Q15	Effective constitutive equations	35B27, 73B27, 73K20
74Q20	Bounds on effective properties	35B27, 73B27, 73K20
74Q99	None of the above, but in this section	35B27, 73B27, 73K20
New	MSC2000	1991 MSC
74RXX	Fracture and damage	73M25
74R05	Brittle damage	73M25
74R10	Brittle fracture	73M25
74R15	High-velocity fracture	73M25
74R20	Anelastic fracture and damage	73M25
74R99	None of the above, but in this section	73M25
New	MSC2000	1991 MSC
74SXX	Numerical methods	65-XX, 73Vxx
74S05	Finite element methods	65M60, 65N30, 73V05
74S10	Finite volume methods	65M99, 65N99, 73V20
74S15	Boundary element methods	65M99, 65N38, 65R20, 73V10
74S20	Finite difference methods	65M06, 65N06, 73V15
74S25	Spectral and related methods	65M70, 65N35, 73V20
74S30	Other numerical methods	65Mxx, 65Nxx, 73V20
74S99	None of the above, but in this section	65M99, 65N99, 73V99
New	MSC2000	1991 MSC
76A20	Thin fluid films	76A99, 76D99
76A25	Superfluids (classical aspects)	76A99, 82D50
New	MSC2000	1991 MSC
76B03	Existence, uniqueness, and regularity theory	35Q35, 76Bxx
76B07	Free-surface potential flows	35Q35, 76B10, 76B15, 76B99
76B47	Vortex flows	35Q35, 76C05
76B55	Internal waves	35Q35, 76C10, 76V05
76B60	Atmospheric waves	76C15, 86A10
76B65	Rossby waves	76C20, 86A05, 86A10
76B70	Stratification effects in inviscid fluids	76V05
76B75	Flow control and optimization	49Q10, 76B99, 93C20, 93C95
New	MSC2000	1991 MSC
76D03	Existence, uniqueness, and regularity theory	35Q30, 76D05
76D06	Statistical solutions of Navier-Stokes and related equations	35Q30, 35Q35, 76D05, 76M35, 60H30
76D09	Viscous-inviscid interaction	76B99, 76C99, 76D99
76D17	Viscous vortex flows	76D05, 76D99
76D27	Other free-boundary flows; Hele-Shaw flows	76D99, 76S05
76D50	Stratification effects in viscous fluids	76D99, 76V05
76D55	Flow control and optimization	49Q10, 76D99, 93C20, 93C95
New	MSC2000	1991 MSC
76E06	Convection	76E99, 76R05, 76R10
76E07	Rotation	76E10, 76E99, 76U05
76E09	Stability and instability of nonparallel flows	76E99
76E17	Interfacial stability and instability	76E10, 76E99
76E19	Compressibility effects	76E99, 76N99
New	MSC2000	1991 MSC
76F02	Fundamentals	76Fxx
76F06	Transition to turbulence	76E99, 76F99
76F25	Turbulent transport, mixing	76F99, 76R99
76F30	Renormalization and other field-theoretical methods	76F99, 81T99
76F35	Convective turbulence	76E15, 76F99, 76R99
76F40	Turbulent boundary layers	76D10, 76F99, 76N20
76F45	Stratification effects	76F99, 76V05
76F50	Compressibility effects	76F99, 76N99
76F55	Statistical turbulence modeling	76F99, 76M35, 82C99
76F60	$k$-$\varepsilon$ modeling	76F99
76F65	Direct numerical and large eddy simulation of turbulence	76F99, 76M25
76F70	Control of turbulent flows	76F99, 93C20, 93C95
New	MSC2000	1991 MSC
76M12	Finite volume methods	76M25
76M22	Spectral methods	76M25
76M23	Vortex methods	76M25
76M27	Visualization algorithms	76M25
76M28	Particle methods and lattice-gas methods	76M25
76M40	Complex-variables methods	76M99
76M45	Asymptotic methods, singular perturbations	76M99
76M50	Homogenization	35B27, 76D30, 76M99
76M55	Dimensional analysis and similarity	76M99
76M60	Symmetry analysis, Lie group and algebra methods	22E70, 76M99
New	MSC2000	1991 MSC
76N17	Viscous-inviscid interaction	76N99
76N25	Flow control and optimization	49Q10, 76N99, 93C20, 93C95
New	MSC2000	1991 MSC
76TXX	Two-phase and multiphase flows	76T05
76T10	Liquid-gas two-phase flows, bubbly flows	76D99, 76N99, 76T05
76T15	Dusty-gas two-phase flows	76T05
76T20	Suspensions	76T05
76T25	Granular flows	73B99, 73E99, 76A99
76T30	Three or more component flows	76T05
76T99	None of the above, but in this section	76T05
New	MSC2000	1991 MSC
78AXX	General	78Axx
78A46	Inverse scattering problems	78A45
78A48	Composite media; random media	78A55
78MXX	Basic methods	78-08, 78Axx
78M05	Method of moments	78-08
78M10	Finite element methods	65M60, 65N30, 78-08
78M15	Boundary element methods	65N38, 78-08
78M20	Finite difference methods	65M06, 65N06, 78-08
78M25	Other numerical methods	65Mxx, 65Nxx, 78-08
78M30	Variational methods	65Mxx, 65Nxx, 78-08
78M35	Asymptotic analysis	65M12, 65N12, 78-08
78M40	Homogenization	78-08
78M50	Optimization	78-08
78M99	None of the above, but in this section	78-08
New	MSC2000	1991 MSC
80AXX	Thermodynamics and heat transfer	82-XX
80A17	Thermodynamics of continua	73
80MXX	Basic methods	80-08
80M10	Finite element methods	80-08, 65M60, 65N30
80M15	Boundary element methods	80-08, 65N38
80M20	Finite difference methods	80-08, 65N06, 65M06
80M25	Other numerical methods	80-08, 65P05
80M30	Variational methods	80-08, 65M99, 65N99
80M35	Asymptotic analysis	80-08, 65
80M40	Homogenization	80-08, 65
80M50	Optimization	80-08, 65K10
80M99	None of the above, but in this section	80-08, 65
New	MSC2000	1991 MSC
81P68	Quantum computation and quantum cryptography	81P99
81Q70	Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.	81Q20, 81Q99
81R12	Relations with integrable systems	58F07
81R15	Operator algebra methods	81T05
81R60	Noncommutative geometry	58B30
81T45	Topological field theories	81T70, 58D29
81T75	Noncommutative geometry methods	58B30, 81V22, 81T13
81U15	Exactly and quasi-solvable systems	82B23
New	MSC2000	1991 MSC
82D37	Semiconductors	82D99
83C65	Methods of noncommutative geometry	58B30, 83C99
83C80	Analogues in lower dimensions	81T40, 83C99
New	MSC2000	1991 MSC
90B18	Communication networks	90B12
90B36	Scheduling theory, stochastic	90B35, 60K10
New	MSC2000	1991 MSC
90C22	Semidefinite programming	90C30
90C46	Optimality conditions, duality	90C30, 49N15
90C47	Minimax problems	49J35, 49K35
90C49	Extreme-point and pivoting methods	90C08, 90C30
90C51	Interior-point methods	90C05, 90C20, 90C25, 90C30
90C52	Methods of reduced gradient type	90C30
90C53	Methods of quasi-Newton type	90C30
90C55	Methods of successive quadratic programming type	90C30, 90C20
90C56	Derivative-free methods	90C30
90C57	Polyhedral combinatorics, branch-and-bound, branch-and-cut	90C27
90C59	Approximation methods and heuristics	90C30
New	MSC2000	1991 MSC
91-XX	Game theory, economics, social and behavioral sciences	90-XX, 92-XX
91-00	General reference works (handbooks, dictionaries, bibliographies, etc.)	90-00
91-01	Instructional exposition (textbooks, tutorial papers, etc.)	90-01
91-02	Research exposition (monographs, survey articles)	90-02
91-03	Historical (must also be assigned at least one classification number from section 01)	90-03
91-04	Explicit machine computation and programs (not the theory of computation or programming)	90-04
91-06	Proceedings, conferences, collections, etc.	90-06
91-08	Computational methods	90-08
New	MSC2000	1991 MSC
91AXX	Game theory	90Dxx
91A05	2-person games	90D05
91A06	$n$-person games, $n>2$	90D06
91A10	Noncooperative games	90D10
91A12	Cooperative games	90D12
91A13	Games with infinitely many players	90D13
91A15	Stochastic games	90D15
91A18	Games in extensive form	90D40, 90D99
91A20	Multistage and repeated games	90D20
91A22	Evolutionary games	90D40, 90D99
91A23	Differential games	90D25
91A24	Positional games (pursuit and evasion, etc.)	90D26, 90D42
91A25	Dynamic games	90D25, 90D26
91A26	Rationality, learning	90D35, 90D40, 90A05
91A28	Signaling, communication	90D40, 90D99
91A30	Utility theory for games	90D35, 90A10
91A35	Decision theory for games	90D35
91A40	Game-theoretic models	90D40
91A43	Games involving graphs	90D43
91A44	Games involving topology or set theory	90D44
91A46	Combinatorial games	90D46
91A50	Discrete-time games	90D50
91A55	Games of timing	90D55
91A60	Probabilistic games; gambling	90D60
91A65	Hierarchical games	90D65
91A70	Spaces of games	90D70
91A80	Applications of game theory	90D80
91A90	Experimental studies	90D99
91A99	None of the above, but in this section	90D99
New	MSC2000	1991 MSC
91BXX	Mathematical economics	90Axx
91B02	Fundamental topics (basic mathematics, methodology; applicable to economics in general)	90A05, 90A99
91B06	Decision theory	90A05
91B08	Individual preferences	90A06
91B10	Group preferences	90A07
91B12	Voting theory	90A28
91B14	Social choice	90A08
91B16	Utility theory	90A10
91B18	Public goods	90A27
91B24	Price theory and market structure	90A12
91B26	Market models (auctions, bargaining, bidding, selling, etc.)	90A60
91B28	Finance, portfolios, investment	90A09
91B30	Risk theory, insurance	90A46
91B32	Resource and cost allocation	90A80
91B38	Production theory, theory of the firm	90A11
91B40	Labor market, contracts	90A50
91B42	Consumer behavior, demand theory	90A40
91B44	Informational economics	90A35
91B50	Equilibrium: general theory	90A14
91B52	Special types of equilibria	90A56
91B54	Special types of economies	90A53
91B60	General economic models, trade models	90A15
91B62	Dynamic economic models, growth models	90A16
91B64	Macro-economic models (monetary models, models of taxation)	90A70
91B66	Multisectoral models	90A17
91B68	Matching models	90A99
91B70	Stochastic models	90A19
91B72	Spatial models	90A25
91B74	Models of real-world systems	90A58
91B76	Environmental economics (natural resource models, harvesting, pollution, etc.)	90A30
91B82	Statistical methods; economic indices and measures	90A19
91B84	Economic time series analysis	90A20
91B99	None of the above, but in this section	90A99
New	MSC2000	1991 MSC
91CXX	Social and behavioral sciences: general topics	92Gxx
91C05	Measurement theory	92G05
91C15	One- and multidimensional scaling	92G15
91C20	Clustering	92G30
91C99	None of the above, but in this section	92G99
New	MSC2000	1991 MSC
91DXX	Mathematical sociology (including anthropology)	92Hxx
91D10	Models of societies, social and urban evolution	92H10
91D20	Mathematical geography and demography	92H20
91D25	Spatial models	92H25
91D30	Social networks	92H30
91D35	Manpower systems	92H35
91D99	None of the above, but in this section	92H99
New	MSC2000	1991 MSC
91EXX	Mathematical psychology	92Jxx
91E10	Cognitive psychology	92J10
91E30	Psychophysics and psychophysiology; perception	92J30
91E40	Memory and learning	92J40
91E45	Measurement and performance	92J45
91E99	None of the above, but in this section	92J99
New	MSC2000	1991 MSC
91FXX	Other social and behavioral sciences (mathematical treatment)	92Kxx
91F10	History, political science	92K10
91F20	Linguistics	92K20
91F99	None of the above, but in this section	92K99
New	MSC2000	1991 MSC
92C17	Cell movement (chemotaxis, etc.)	92C30, 92C45, 92C99, 92D50
92C37	Cell biology	92C30, 92C40, 92C99
92C80	Plant biology	92C99
New	MSC2000	1991 MSC
93C23	Systems governed by functional-differential equations	93C22, 49J25, 49K25
93C65	Discrete event systems	93C55, 93C83
New	MSC2000	1991 MSC
94A08	Image processing (compression, reconstruction, etc.)	94A12, 68U10
94A20	Sampling theory	42A32, 42C10
94A62	Authentication and secret sharing	94A60

Section 97 is a new area not covered in the 1991 MSC. It is not planned that it be used as a primary classification.