数学物理分类主题词.pdf

00 General ?? 00A General and miscellaneous specific topics? ????????? 00B Conference proceedings and collections of papers???????? 0l History and biography? ????? 01A History of mathematics and mathematicians???????? 03 Mathematical logic and foundations????????? 03A Philosophical and critical?????? 03B General logic? !?? 03C Model theory?“#$? 03D Computability and recursion theory?%, ;? 06B Lattices?8y?~?E 11U Connections with logic??????I 11Y Computational number theory? homological algebra? ¿?$?“a?0? 18A General theory of categories and functors?¿??q?i? 18B Special categories???¿? 18C Categories and theories?¿??$? 18D Categories with structure??=.?¿? 18E Abelian categories?£⁄C¿? 18F Categories and geometry?¿??cd18G Homological algebra?a?0? 19 K-theory?K-$? 19A Grothendieck groups and K0?Grothendieck 6?K0 19B Whitehead groups and K1?Whitehead6?K1 19D Higher algebraic K-theory?¡`0?K-$? 19E K-theory in geometry?cd??K-$? 19F K-theory in number theory?????K-$? 19G K-theory of form?LU?K-$? 19J Obstructions from topology?´???ˆ˜?¯˘ 19K K-theory and operator algebras?K-$??’˙0? 19L Topological K-theory???K-$? 20 Group theory and generalizations?6??M*? 20A Foundations??? 20B Permutation groups?¨?6 20C Representation theory of groups?6??›$? 20D Abstract finite groups??˚>86 20E Structure and classification of infinite or finite groups? >8¸?86?=.?@O 20F Special aspects of infinite or finite groups?>8¸?86???[? 20G Linear algebraic groups (classical groups)?:(0?6D˝˛6F 20H Other groups of matrices?MNVW6 20J Connections with homological algebra and category theory? ?a?0??¿?$???I 20K Abelian groups?£⁄C6 20M Semigroups???D–F6 20N Other generalizations of groups?6?MN*? 22 Topological groups, Lie groups??ˇ6?…6 22A Topological and differentiable algebraic systems????%?0?IJ 22C Compact groups?—?6 22D Locally compact groups and their algebras?z{—?6?M0? 22E Lie groups?…6 22F Noncompact transformation groups?1—?K?6 26 Real functions??q? 26A Functions of one variable??Knq? 26B Functions of several variables?SKnq? 26C Polynomials, rational functions?STU?>$q? 26D Inequalities?]QU 26E Miscellaneous topics??????? 28 Measure and integration??m??@ 28A Classical measure theory?˝˛?m$? 28B set functions, measures and integrals with values in abstract spaces? ?+q??????˚????m??@ 28C Set functions and measures on spaces with additional structure? ?+q???>»u=.?????m28D Measure-theoretic ergodic theory??m$??????$? 28E Miscellaneous topics in measure theory??m$??????? 30 Functions of a complex variable???Kq? 30A General properties?GH(? 30B Series expansions????? 30C Geometric function theory?cdq?$? 30D Entire and meromorphic functions, and related topics? wq???–q???M???? 30E Miscellaneous topics of analysis in the complex domain? ???y??@????? 30F Riemann surfaces??Æ? 30G Generalized function theory???q?$? 30H spaces and algebras of analytic functions?rsq?????0? 31 Potential theory?}ª$? 31A Two-dimensional theory???$? 31B Higher-dimensional theory?¡?$? 31C Other generalizations?MN*? 31D Axiomatic potential theory??$?}ª$? 32 Several complex variables and analytic spaces?S?K??rs?? 32A Holomorphic functions of several complex variables? S?K???–q? 32B Local analytic geometry?z{rscd 32C Analytic spaces?rs?? 32E holomorphic convexity??–Ł( 32F Geometric convexity?cdŁ( 32G Deformations of analytic structures?rs=.?KL 32H holomorphic mappings and correspondences??–Ø¥?Œ?( 32J Compact analytic spaces?—?rs?? 32K Generalizations of analytic space?rs???*? 32L Holomorphic fiber spaces??–???? 32M Complex spaces with a group of automorphisms? ?>‘a.6???? 32Q Complex manifolds??ºL 32S Singularities??? 32T Pseudoconvex domains??Ł?y 32U Pluripotential theory?Pluri-}ª$? 32V CR manifolds?CR ºL 32W Differential operators in several variables?SKn?@’˙ 33 Special functions???q? 33B Elementary classical functions?PQ˝˛q? 33C Hypergeometric functions?gcdq? 33D Basic hypergeometric functions???gcdq? 33E Other special functions?MN??q? 33F Computational aspects?5 nonlinear operators? ºLT???@“1:(’˙ 58D Spaces and manifolds of mappings?Ø¥????ºL 58E Variational problems in infinite-dimensional spaces? ?8?????K@?? 58H Pseudogroups, differentiable groupoids and general structures on manifolds? ?6?%??6?ºLT?GH=. 58J Partial differential equations on manifolds; differential operators? ºLT?œ?@[\“?@’˙ 58K Theory of singularities and catastrophe theory? ?/?$??catastrophe$? 60 Probability theory and stochastic processes?ij??ı??\ 60AFoundations of probability theory?ij??? 60B Probability theory on algebraic and topological structures? 0????=.T?ij? 60C Combinatorial probability?4+ij 60D Ceometric probability, stochastic geometry, random sets? cdij?ı?cd?ı??+ 60E Distribution theory?@B$? 60F Limit theorems?78?$ 60G Stochastic processes?ı??\ 60H stochastic analysis?ı?@s 60J Markov processes?UCVW?\60K Special processes????\ 62 Statistics?J_[l 62M Inference from stochastic processes?´ı??\*[ 62N survival analysis and censored data?‘?@s?a^?b 62P Applications??? 65 Numerical analysis???@s 65B 。