Mathematics Subject Classification

00

General

51

Geometry

01

History and biography

52

Convex and discrete

03

Mathematical logic and foundations

geometry

04

Set theory

53

Differential geometry

05

Combinatorics

54

General topology

06

Order, lattices, ordered

55

Algebraic topology

algebraic structures

57

Manifolds and

08

General algebraic systems

complexes

11

Number theory

58

Global analysis, analysis

12

Field theory and polynomials

on manifolds

13

Commutative rings and algebras

60

Probability theory and

14

Algebraic geometry

stochastic processes

15

Linear and multilinear

62

Statistics

algebra; matrix theory

65

Numerical analysis

16

Associative rings and algebras

68

Computer science

17

Nonassociative rings

70

Mechanics of particles

and algebras

and systems

18

Category theory,

73

Mechanics of solids

homological algebra

76

Fluid mechanics

19

K-theory

78

Optics, electromagnetic

20

Group theory and generalizations

theory

22

Topological groups, Lie groups

80

Classical thermodynamics,

26

Real functions

structure of matter

28

Measure and integration

81

Quantum theory

30

Functions of a complex variable

82

Statistical mechanics,

31

Potential theory

structure of matter

32

Several complex variables

83

Relativity and

and analytic spaces

gravitational theory

33

Special functions

85

Astronomy and astrophysics

34

Ordinary differential equations

86

Geophysics

35

Partial differential equations

90

Economics, operations research,

39

Finite differences and

programming, games

functional equations

92

Biology and other natural

40

Sequences, series, summability

sciences, behavioral sciences

41

Approximations and expansions

93

Systems theory; control

42

Fourier analysis

94

Information and

43

Abstract harmonic analysis

communication, circuits

44

Integral transforms,

96

Mathematical education,

operational calculus

elementary

45

Integral equations

97

Mathematical education,

46

Functional Analysis

secondary

47

Operator theory

98

Mathematical education,

49

Calculus of variations and

collegiate

optimal control; optimization

99

Unclassified or late