00 General

01 History and biography

03 Mathematical logic and foundations

05 Combinatorics

06 Order, lattices, ordered algebraic structures

08 General algebraic systems

11 Number theory

12 Field theory and polynomials

13 Commutative rings and algebras

14 Algebraic geometry

15 Linear and multilinear algebra; matrix theory

16 Associative rings and algebras

17 Nonassociative rings and algebras

18 Category theory; homological algebra

19 K-theory

20 Group theory and generalizations

22 Topological groups, Lie groups

26 Real functions

28 Measure and integration

30 Functions of a complex variable

31 Potential theory

32 Several complex variables and analytic spaces

33 Special functions

34 Ordinary differential equations

35 Partial differential equations

37 Dynamical systems and ergodic theory

39 Difference and functional equations

40 Sequences, series, summability

41 Approximations and expansions

42 Fourier analysis

43 Abstract harmonic analysis

44 Integral transforms, operational calculus

45 Integral equations

46 Functional analysis

47 Operator theory

49 Calculus of variations and optimal control; optimization

51 Geometry

52 Convex and discrete geometry

53 Differential geometry

54 General topology

55 Algebraic topology

57 Manifolds and cell complexes

58 Global analysis, analysis on manifolds

60 Probability theory and stochastic processes

62 Statistics

65 Numerical analysis

68 Computer science

70 Mechanics of particles and systems

74 Mechanics of deformable solids

76 Fluid mechanics

78 Optics, electromagnetic theory

80 Classical thermodynamics, heat transfer

81 Quantum theory

82 Statistical mechanics, structure of matter

83 Relativity and gravitational theory

85 Astronomy and astrophysics

86 Geophysics

90 Operations research, mathematical programming

91 Game theory, economics, social and behavioral sciences

92 Biology and other natural sciences

93 Systems theory; control

94 Information and communication, circuits

97 Mathematical education

The copyright for the 2000 Mathematics Subject Classification is held jointly by the American Mathematical Society and Zentralblatt MATH.