AMS

AMS Subject classification

00-XX General

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

03-XX Mathematical logic and foundations

04-XX This section has been deleted {For set theory see 03Exx}

05-XX Combinatorics {For finite fields, see 11Txx}

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

08-XX General algebraic systems

11-XX Number theory

12-XX Field theory and polynomials

13-XX Commutative rings and algebras

14-XX Algebraic geometry

15-XX Linear and multilinear algebra; matrix theory

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

17-XX Nonassociative rings and algebras

18-XX 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-XX $K$-theory [See also 16E20, 18F25]

20-XX Group theory and generalizations

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

26-XX Real functions [See also 54C30]

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

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

31-XX Potential theory {For probabilistic potential theory, see 60J45}

32-XX Several complex variables and analytic spaces {For infinite- dimensional holomorphy, see 46G20, 58B12}

33-XX Special functions (33-XX deals with the properties of functions as functions) {For orthogonal functions, see 42Cxx; for aspects of combinatorics, see 05Axx; for number-theoretic aspects, see 11-XX; for representation theory, see 22Exx}

34-XX Ordinary differential equations

35-XX Partial differential equations

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

39-XX Difference and functional equations

40-XX Sequences, series, 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

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

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

47-XX Operator theory

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

51-XX Geometry {For algebraic geometry, see 14-XX}

52-XX Convex and discrete geometry

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

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

55-XX Algebraic topology

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

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

60-XX Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX,92-XX, 93-XX, 94-XX]

62-XX Statistics

65-XX Numerical analysis

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

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

73-XX This section has been deleted {For mechanics of solids, see 74-XX}

74-XX Mechanics of deformable solids

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

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

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

81-XX Quantum theory

82-XX Statistical mechanics, structure of matter

83-XX Relativity and gravitational theory

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

86-XX Geophysics [See also 76U05, 76V05]

90-XX Operations research, mathematical programming

91-XX Game theory, economics, social and behavioral sciences

92-XX Biology and other natural sciences

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

94-XX Information and communication, circuits

97-XX Mathematics education