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- Mathematics Subject Classification by Subject Area

The following journals are covered under this service:

- Bulletin of the American Mathematical Society
- Conformal Geometry and Dynamics
- Journal of the American Mathematical Society
- Mathematical Reviews Sections (issue notification only)
- Mathematics of Computation
- Memoirs of the American Mathematical Society
- Notices of the American Mathematical Society (issue notification only)
- Proceedings of the American Mathematical Society
- Proceedings of the American Mathematical Society, Series B
- Representation Theory
- Transactions of the American Mathematical Society
- Transactions of the American Mathematical Society, Series B

The AMS has condensed the Mathematics Subject Classification into the following eleven subject areas. You may sign-up for email notification of most recent articles in any journal or

combination of journal and subject area.

- 06 (1940-now) Order, lattices, ordered algebraic structures [See also 18B35]
- 08 (1959-now) General algebraic systems
- 12 (1959-now) Field theory and polynomials
- 13 (1959-now) Commutative rings and algebras
- 14 (1940-now) Algebraic geometry
- 15 (1940-now) Linear and multilinear algebra; matrix theory
- 16 (1959-now) Associative rings and algebras [For the commutative case, see 13-XX]
- 17 (1940-now) Nonassociative rings and algebras
- 18 (1940-now) Category theory, homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]
- 19 (1986-now) $K$-theory [See also 16E20, 18F25]
- 20 (1940-now) Group theory and generalizations
- 22 (1940-now) Topological groups, Lie groups [For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX]

- 26 (1940-now) Real functions [See also 54C30]
- 28 (1940-now) Measure and integration [For analysis on manifolds, see 58-XX]
- 30 (1940-now) Functions of a complex variable [For analysis on manifolds, see 58-XX]
- 31 (1940-now) Potential theory [For probabilistic potential theory, see 60J45]
- 32 (1940-now) Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see also 46G20, 58B12]
- 33 (1940-now) 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] - 37 (2000-now) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
- 40 (1940-now) Sequences, series, summability
- 41 (1940-now) Approximations and expansions [For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and

42A15; for numerical approximation, see 65Dxx] - 42 (1940-now) Fourier analysis
- 43 (1973-now) Abstract harmonic analysis [For other analysis on topological and Lie groups, see 22Exx]
- 44 (1940-now) 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] - 46 (1940-now) Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
- 47 (1959-now) Operator theory
- 49 (1940-now) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
- 58 (1973-now) Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx; for geometric integration theory, see 49Q15]

- 49 (1940-now) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
- 65 (1940-now) Numerical analysis
- 68 (1940-now) Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section --04 in] that area}
- 90 (1940-now) Operations research, mathematical programming
- 91 (2000-now) Game theory, economics, social and behavioral sciences
- 92 (1940-now) Biology and other natural sciences
- 93 (1940-now) Systems theory; control [For optimal control, see 49-XX]
- 94 (1940-now) Information and communication, circuits

- 34 (1940-now) Ordinary differential equations
- 35 (1940-now) Partial differential equations
- 37 (2000-now) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
- 39 (1940-now) Difference and functional equations
- 45 (1940-now) Integral equations

- 05 (1940-now) Combinatorics [For finite fields, see 11Txx]
- 68 (1940-now) Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section --04 in] that area}
- 90 (1940-now) Operations research, mathematical programming

- 00 (1940-now) General
- 01 (1940-now) History and biography [See also the classification number -03 in the other sections]
- 97 (2000-now) Mathematics education

- 32 (1940-now) Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see also 46G20, 58B12]
- 51 (1980-now) Geometry [For algebraic geometry, see 14-XX]
- 52 (1940-now) Convex and discrete geometry
- 53 (1940-now) Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
- 54 (1940-now) General topology [For the topology of manifolds of all dimensions, see 57Nxx]
- 55 (1940-now) Algebraic topology
- 57 (1959-now) Manifolds and cell complexes [For complex manifolds, see 32Qxx]

- 03 (1980-now) Mathematical logic and foundations

- 70 (1940-now) Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX]
- 74 (2000-now) Mechanics of deformable solids
- 76 (1940-now) Fluid mechanics [For general continuum mechanics, see 74Axx, or other parts of 74-XX]
- 78 (1940-now) Optics, electromagnetic theory [For quantum optics, see 81V80]
- 80 (1940-now) Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]
- 81 (1940-now) Quantum theory
- 82 (1940-now) Statistical mechanics, structure of matter
- 83 (1940-now) Relativity and gravitational theory
- 85 (1940-now) Astronomy and astrophysics [For celestial mechanics, see 70F15]
- 86 (1940-now) Geophysics [See also, 76U05, 76V05]

- 11 (1985-now) Number theory
- 12 (1959-now) Field theory and polynomials
- 14 (1940-now) Algebraic geometry

- 60 (1940-now) Probability theory and stochastic processes [For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX.]
- 62 (1940-now) Statistics
- 80 (1940-now) Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]
- 82 (1940-now) Statistical mechanics, structure of matter