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The AMS has condensed the Mathematics Subject Classification into the following eleven subject areas. You may signup for email notification of most recent articles in any journal or
combination of journal and subject area.
Algebra and Algebraic Geometry

06 (1940now) Order, lattices, ordered algebraic structures [See also 18B35]

08 (1959now) General algebraic systems

12 (1959now) Field theory and polynomials

13 (1959now) Commutative rings and algebras

14 (1940now) Algebraic geometry

15 (1940now) Linear and multilinear algebra; matrix theory

16 (1959now) Associative rings and algebras [For the commutative case, see 13XX]

17 (1940now) Nonassociative rings and algebras

18 (1940now) 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 (1986now) $K$theory [See also 16E20, 18F25]

20 (1940now) Group theory and generalizations

22 (1940now) Topological groups, Lie groups [For transformation groups, see 54H15, 57Sxx, 58XX. For abstract harmonic analysis, see 43XX]
Analysis

26 (1940now) Real functions [See also 54C30]

28 (1940now) Measure and integration [For analysis on manifolds, see 58XX]

30 (1940now) Functions of a complex variable [For analysis on manifolds, see 58XX]

31 (1940now) Potential theory [For probabilistic potential theory, see 60J45]

32 (1940now) Several complex variables and analytic spaces [For infinitedimensional holomorphy, see also 46G20, 58B12]

33 (1940now) Special functions [ 33XX deals with the properties of functions as functions. For orthogonal functions, see also 42Cxx; for aspects of combinatorics, see 05Axx; for numbertheoretic
aspects, see 11XX; for representation theory, see 22Exx]

37 (2000now) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70XX]

40 (1940now) Sequences, series, summability

41 (1940now) 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 (1940now) Fourier analysis

43 (1973now) Abstract harmonic analysis [For other analysis on topological and Lie groups, see 22Exx]

44 (1940now) 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 (1940now) Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

47 (1959now) Operator theory

49 (1940now) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93XX]

58 (1973now) Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46XX, 47Hxx, 53Cxx; for geometric integration theory, see 49Q15]
Applications

49 (1940now) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93XX]

65 (1940now) Numerical analysis

68 (1940now) Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section 04 in] that area}

90 (1940now) Operations research, mathematical programming

91 (2000now) Game theory, economics, social and behavioral sciences

92 (1940now) Biology and other natural sciences

93 (1940now) Systems theory; control [For optimal control, see 49XX]

94 (1940now) Information and communication, circuits

34 (1940now) Ordinary differential equations

35 (1940now) Partial differential equations

37 (2000now) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70XX]

39 (1940now) Difference and functional equations

45 (1940now) Integral equations
Discrete Mathematics and Combinatorics

05 (1940now) Combinatorics [For finite fields, see 11Txx]

68 (1940now) Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section 04 in] that area}

90 (1940now) Operations research, mathematical programming
General Interest

00 (1940now) General

01 (1940now) History and biography [See also the classification number 03 in the other sections]

97 (2000now) Mathematics education
Geometry and Topology

32 (1940now) Several complex variables and analytic spaces [For infinitedimensional holomorphy, see also 46G20, 58B12]

51 (1980now) Geometry [For algebraic geometry, see 14XX]

52 (1940now) Convex and discrete geometry

53 (1940now) Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]

54 (1940now) General topology [For the topology of manifolds of all dimensions, see 57Nxx]

55 (1940now) Algebraic topology

57 (1959now) Manifolds and cell complexes [For complex manifolds, see 32Qxx]
Logic and Foundations

03 (1980now) Mathematical logic and foundations
Mathematical Physics

70 (1940now) Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82XX]

74 (2000now) Mechanics of deformable solids

76 (1940now) Fluid mechanics [For general continuum mechanics, see 74Axx, or other parts of 74XX]

78 (1940now) Optics, electromagnetic theory [For quantum optics, see 81V80]

80 (1940now) Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]

81 (1940now) Quantum theory

82 (1940now) Statistical mechanics, structure of matter

83 (1940now) Relativity and gravitational theory

85 (1940now) Astronomy and astrophysics [For celestial mechanics, see 70F15]

86 (1940now) Geophysics [See also, 76U05, 76V05]
Number Theory

11 (1985now) Number theory

12 (1959now) Field theory and polynomials

14 (1940now) Algebraic geometry
Probability

60 (1940now) Probability theory and stochastic processes [For additional applications, see 11Kxx, 62XX, 90XX, 91XX, 92XX, 93XX, 94XX.]

62 (1940now) Statistics

80 (1940now) Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]

82 (1940now) Statistical mechanics, structure of matter

