数学学科分类表;Mathematics Subject Classification
(海南省琼州大学数学息科学依据美国《数学评论》2000年的分类附注)

00-xx 总论

General

01-xx 历史与传记

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

03-xx 数理逻辑与基础

Mathematical logic and foundations

04-xx

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

05-xx 组合论

Combinatorics {For finite fields, see  11Txx}

06-xx ,,有序的代数结构

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

08-xx 一般代数系统

General algebraic systems

11-xx 数论

Number theory

12-xx 域论和多项式

Field theory and polynomials

13-xx 交换环和交换代数

Commutative rings and algebras

14-xx 代数几何

Algebraic geometry

15-xx 线性代数和多重线性代数;矩阵论

Linear and multilinear algebra; matrix theory

16-xx 结合环与结合代数

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

17-xx 非结合环与非结合代数

Nonassociative rings and algebras

18-xx 范畴论;同调代数

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-理论

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

20-xx 群论及推广

Group theory and generalizations

22-xx 拓扑群,Lie

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

26-xx 实函数

Real functions [See also 54C30]

28-xx 测度与积分

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

30-xx 单复变函数

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

31-xx 位势论

Potential theory {For probabilistic potential theory, see 60J45}

32-xx 多复变量与解析空间

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

33-xx 特殊函数

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 常微分方程

Ordinary differential equations

35-xx 偏微分方程

Partial differential equations

37-xx 动力系统和遍历理论

Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx]

39-xx 差分方程与泛函方程

Difference and functional equations

40-xx 序列、级数、可求和性

Sequences, series, summability

41-xx 逼近与展开

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分析

Fourier analysis

43-xx 抽象调和分析

Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}

44-xx 积分变换,算子演算

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 积分方程

Integral equations    

46-xx 泛函分析

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

47-xx 算子理论

Operator theory

49-xx 变分法与最优控制;最优化

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

51-xx 几何

Geometry {For algebraic geometry, see 14-xx}

52-xx 几何与离散几何

Convex and discrete geometry

53-xx 微分几何

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

54-xx 一般拓扑学

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

55-xx 代数拓扑学

Algebraic topology

57-xx 流形和胞腔复形

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

58-xx 大范围分析,流形上的分析

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

 60-xx 概率论与随机过程

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

62-xx 统计学

Statistics

65-xx 数值分析

Numerical analysis

68-xx 计算机科学

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

70-xx 质点和系统力学

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 变形固体力学

Mechanics of deformable solids

76-xx 流体力学

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

78-xx 光学,电磁理论

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

80-xx 经典热力学,热传导

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

81-xx 量子理论

Quantum theory

82-xx 统计力学,物质结构

Statistical mechanics, structure of matter

83-xx 相对论和引力理论

Relativity and gravitational theory

85-xx 天文学和天体物理学

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

86-xx 地球物理学

Geophysics [See also 76U05, 76V05]

90-xx 运筹学,数学规划

Operations research, mathematical programming

91-xx 对策论,经济,社会科学和行为科学

Game theory, economics, social and behavioral sciences

92-xx 生物学和其它自然科学

Biology and other natural sciences

93-xx 系统论;控制

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

94-xx 信息和通讯,电路

Information and communication, circuits

97-xx 数学教育

Mathematics education

 

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