数学学科分类表；Mathematics Subject Classification

(海南省琼州大学数学与信息科学所依据美国《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 序,格,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群	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 凸几何与离散几何	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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