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《数学物理方法》课程教学资源（教案讲义）数学物理分类主题词

00 General总论 00 A General and miscellaneous specific topics,总论和各种特殊课题 00 B Conference proceedings and collections of papers,会议录和论文集

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1 1J Diophantine approximation, transcendental number theory 丢番图逼近论,超越数论 1 1K Probabilistic theory: distribution modulol; metric theory of algorithms 概率论:分布模,算法的度量 IL Exponential sums and character sums,指数和与特征和 11M Zata and L-functions: analytic theory,函数和L函数:解析理论 l| N Multiplicative number theory,乘法数论 l! P Additive number theory, partitions,加法数论,划分 IIR Algebraic number theory: global fields,代数数论:整体域 11S Algebraic number theory: local and p-adic fields 代数数论:局部域,p进位域 l1 T Finite fields and commutative rings,有限域与交换环 U Connections with logic,与逻辑的联系 11Y Computational number theory,计算数论 l1 Z Miscellaneous applications of number theory,数论的各种应用 l2 Field theory and polynomials,域论与多项式 12 D Real and complex fields,实数与复数域 12 E General field theory,普通域论 12 F Field extensions,域的扩张 l2 G Homological methods( field theory),同调方法(域论) 12 H Differential and difference algebra,微分和差分代数 l2 J Topological fields,拓扑域 12 K Generalizations of fields,域的推广 12 L Connections with logic,与逻辑的联系 12Y Computational aspects of field theory and polynomials 域论的计算方面与多项式 13 Commutative rings and algebras,交换环与代数 13 A General commutative ring theory,普通交换环论 13 B Ring extensions and related topics,环的扩张及其相关课题 l3 Theory of modules and ideals,模论与理想 13 D Homological methods,同调方法 13 E Chain conditions, finiteness conditions,链条件,有限性条件 13 Arithmetic rings and other special rings,算术环与其它特殊环 l3 G Integral domains,整环 13 H Local rings and semilocal rings,局部环和半局部环 13 I Topological rings and modules,拓扑环与模 13L Applications of logic to commutative algebra 逻辑在交换代数中的应用 13 FInite commutative rings,有限交换环 13 N Differential algebra,微分代数 13 P Computational aspects of commutative algebra,交换代数的计算方面 14 Algebraic geometry,代数几何 14 A Foundations,基础 l4 B Local theory,局部理论

l4 C Cycles and subschemes,圈与子格式? 14 D Families, fibrations,族,纤维 l4F(Co) homology theory,(余)同调论 l4 G Arithmetic problems, Diophantine geometry,算术问题,丢番图几何 14 H Curves,曲线 l4 J Surfaces and higher- dimensional varieties,表面与高维情形 14 ABelian varieties and schemes,阿贝尔情形与格式? l4 ALgebraic groups,代数群 l4 M Special varieties,特殊情形 l4 N Projective and enumerative geometry,射影几何与枚举几何 l4 P Real algebraic and real analytic geometry,实代数几何与实解析几何 l4 Q Computational aspects in algebraic geometry,代数几何的计算方面 14 R Affine geometry,仿射几何 15 Linear and multilinear algebra; matrix theory, 线性与多线性代数;矩阵理论 l6 Associative rings and algebras,结合环与代数 l6 B General and miscellaneous,概论与各个方面 l6 D Modules, bimodules and ideals,模,双模和理想 l6 E Homological methods,同调方法 16 G Representation theory of rings and algebras,环与代数的表示理论 1 6H Orders and arithmetic, separable, Azumaya algebras 序和代数的、可分的、 Azumaya代数 16 K Division rings and semisimple Artin rings,可除环与半单(纯)阿廷环 l6 L Local rings and generalizations,局部环及其推广 16P Chain conditions, growth conditions, and other forms of finiteness 链条件,生长条件,及有限性的其它形式 16 R Rings with polynomial identity,带有多项式恒等式的环 16S Rings and algebras arising under various constructions 各种不同结构中产生的环与代数 l6 U Conditions on elements,关于元素的条件 l6 W Rings and algebras with additional structure,带附加结构的环与代数 l6 Y Generalizations,推丿 17 Nonassociative rings and algebras,非结合环与代数 17 A General nonassociative rings,非结合环概论 17 B Lie algebras and Lie superalgebras,李代数与李超代数 17 Jordan algebras,约当代数 17 D Other nonassociative rings and algebras,其它非结合环与代数 l8 Category theory; homological algebra,范畴理论;同调代数 l8 A General theory of categories and functors,范畴与函子概论 I8 B Special categories,特殊范畴 l8 Categories and theories,范畴与理论 l8 D Categories with structure,带结构的范畴 l8 e abelian categories,阿贝尔范畴 l8 F Categories and geometry,范畴与几何

l8 G Homological algebra,同调代数 19K- theory,K-理论 19A Grothendieck groups and Ko, Grothendieck #f FKo 19 B Whitehead groups and K1, Whitehead群和K1 l9 D Higher algebraic K-theory,高阶代数K-理论 19EK- theory in geometry,几何中的K-理论 19 K-theory in number theory,数论中的K-理论 19GK- theory of form,形式的K-理论 19 j Obstructions from topology,由拓扑学引起的障碍 19 K K-theory and operator algebras,K-理论与算符代数 19 L Topological K-theory,拓扑K-理论 20 Group theory and generalizations,群论及其推广 20 A Foundations,基础 20 B Permutation groups,置换群 20 C Representation theory of groups,群的表示理论 20 D Abstract finite groups,抽象有限群 20E Structure and classification of infinite or finite groups 有限或无限群的结构与分类 20 F Special aspects of infinite or finite groups,有限或无限群的特殊方面 20 G Linear algebraic groups( classical groups),线性代数群(经典群) 20 H Other groups of matrices,其它矩阵群 20J Connections with homological algebra and category theory 与同调代数和范畴理论的联系 20 K Abelian groups,阿贝尔群 20 M Semigroups,半单(纯)群 20 N Other generalizations of groups,群的其它推广 22 Topological groups, Lie groups,拓朴群,李群 22 A Topological and differentiable algebraic systems,拓扑和可微代数系统 22 C Compact groups,紧致群 22 d Locally compact groups and their algebras,局部紧致群及其代数 22 E Lie groups,李群 22 F Noncompact transformation groups,非紧致变换群 26 Real functions,实函数 26 A Functions of one variable,单变量函数 26 B Functions of several variables,多变量函数 26 C Polynomials, rational functions,多项式,有理函数 26Dneqμ ualities,不等式 26 E Miscellaneous topics,各种相关课题 28 Measure and integration,测度与积分 28 A Classical measure theory,经典测度理论 28B set functions, measures and integrals with values in abstract spaces 集合函数,取值在抽象空间的测度和积分 28C Set functions and measures on spaces with additional structure 集合函数,带有附加结构的空间的测度

28 D Measure-theoretic ergodic theory,测度理论的各态遍历理论 28 E Miscellaneous topics in measure theory,测度理论中的各种课题 30 Functions of a complex variable,单复变函数 30 A General properties,一般性质 30 B Series expansions,级数展开 theory,几何函数理论 30D Entire and meromorphic functions, and related topics 整函数和亚纯函数,及其相关课题 30E Miscellaneous topics of analysis in the complex domain 复数区域微积分的各种课题 30 F Riemann surfaces,黎曼面 30 G Generalized function theory,广义函数理论 30 H spaces and algebras of analytic functions,解析函数的空间和代数 3 I Potential theory,位势理论 31ATwo- dimensional theory,二维理论 31 B Higher-dimensional theory,高维理论 3 IC Other generalizations,其它推广 3 D Axiomatic potential theory,公理化位势理论 32 Several complex variables and analytic spaces,多复变数和解析空间 32A Holomorphic functions of several complex variables 多复变数的全纯函数 32 B Local analytic geometry,局部解析几何 32 C Analytic spaces,解析空间 32 E holomorphic convexity,全纯凸性 32 Geometric convexity,几何凸性 32 G Deformations of analytic structures,解析结构的变形 32 H holomorphic mappings and correspondences,全纯映射和对应性 32 J Compact analytic spaces,紧致解析空间 32 K Generalizations of analytic space,解析空间的推丿 32 L Holomorphic fiber spaces,全纯纤维空间 32M Complex spaces with a group of automorphisms 带有自同构群的复空间 32 Q Complex manifolds,复流形 32 S Singularities,奇点 32 PSeudoconvex domains,伪凸区域 32 U Pluripotential theory, Pluri-位势理论 32 V CR manifolds,CR流形 32 W Differential operators in several variables,多变量微分算符 33 Special functions,特殊函数 33 B Elementary classical functions,初等经典函数 3 C Hypergeometric functions,超几何函数 33 D Basic hypergeometric functions,基本超几何函数 33 E Other special functions,其它特殊函数 33 F Computational aspects,计算方面

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