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MSC2010分类号的变化、使用与下载

已有 20647 次阅读 2010-7-6 08:36 |个人分类:数学研究|系统分类:博客资讯| 数学论文, 美国《数学评论》, 德国《数学文摘》, MSC2010

      MSC2010是2010年修订的数学主题分类（Mathematics Subject Classification，MSC),，美国《数学评论》（Mathematical Reviews）和德国《数学文摘》（Zentralblatt MATH ）编辑部已经决定从2010年6月开始使用新修订的2010版分类标准，详细情况请看下面的通告，也可以从以下网址直接下载MSC2010的pdf文档（正文114页）。笔者曾经得到MR当时执行总编辑的同意，将MSC2000翻译成中文，有MSC2000中译本的朋友们，可以通过美国数学会网站（http://www.ams.org/mathscinet/msc/msc2010.html），实现MSC2000 TO MSC2010或者MSC2010 TO MSC2000的转化，也可以以下附属的参考2表。

MSC2010

2009-09-29

Mathematical Reviews (MR) and Zentralblatt MATH (Z-MATH) collaborate in maintaining the Mathematics Subject Classification (MSC), which is used by these reviewing services and many others to categorize items in the mathematical sciences literature. The MSC has undergone a general revision, with some additions, changes, and corrections, to create MSC2010, the successor to MSC2000, the scheme for the past 10 years. MR and Z-MATH carefully considered input received from the community in recent years, especially since the announcement of the projected revision in December 2006, and used it in the preparation of their joint MSC revision. As anticipated, there are no changes at the two-digit level but refinements have been made at the three- and five-digit levels. With July 2009 MR and Z-MATH started to use MSC2010 as their classification scheme.

MR and Z-MATH welcome and encourage community adoption of MSC2010. Comments can be submitted through the Web form found at http://msc2010.org/feedback or by email to feedback@msc2010.org. All information about MSC2010 is jointly shared by MR and Z-MATH.

 

The Editors and their staffs wish to express their gratitude to the numerous members of the community for their assistance in this lengthy revision process.

Bernd Wegner, Editor-in-Chief, Z-MATH  

Download MSC2010

Table 1 MSC2000 Classification Codes-> MSC2010 Classification Codes





MSC2000


Description


MSC2010

00-XX  General_
01-XX  History and biography [See also the classification number –03 in the other sections]_
03-XX  Mathematical logic and foundations_
05-XX  Combinatorics For finite fields, see 11Txx_
  05E20Group actions on designs, geometries and codes05E18 
  05E25Group actions on posets and homology groups of posets [See also 06A11]05E18 05E40 
  05E35Orthogonal polynomials [See also 33C45, 33C50, 33D45]05E30 33C45 33C50 33D45 
06-XX  Order, lattices, ordered algebraic structures [See also 18B35]_
08-XX  General algebraic systems_
11-XX  Number theory_
12-XX  Field theory and polynomials_
13-XX  Commutative rings and algebras_
  13A10Radical theory13A15 
  13B24Going up; going down; going between13B21 
  13D25Complexes13D02 
  13K05Witt vectors and related rings13F35 
14-XX  Algebraic geometry_
15-XX  Linear and multilinear algebra; matrix theory_
  15A36Matrices of integers [See also 11C20]15B36 
  15A48Positive matrices and their generalizations; cones of matrices15B48 
  15A51Stochastic matrices15B51 
  15A52Random matrices15B52 
  15A57Other types of matrices (Hermitian, skew-Hermitian, etc.)15B57 
16-XX  Associative rings and algebras For the commutative case, see 13-XX_
  16H05Orders and arithmetic, separable algebras, Azumaya algebras [See also 11R52, 11R54, 11S45]16Hxx 
  16W30Coalgebras, bialgebras, Hopf algebras [See also 16S40, 57T05]; rings, modules, etc. on which these act16Txx 
  16W35Ring-theoretic aspects of quantum groups [See also 17B37, 20G42, 81R50]16Txx 
17-XX  Nonassociative rings and algebras_
18-XX  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 for algebraic topology_
19-XX  $K$K -theory [See also 16E20, 18F25]_
20-XX  Group theory and generalizations_
22-XX  Topological groups, Lie groups For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX_
26-XX  Real functions [See also 54C30]_
28-XX  Measure and integration For analysis on manifolds, see 58-XX_
30-XX  Functions of a complex variable For analysis on manifolds, see 58-XX_
  30D50Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part30J10 
  30D55${H}^p${H}^p -classes30H10 
31-XX  Potential theory For probabilistic potential theory, see 60J45_
32-XX  Several complex variables and analytic spaces For infinite-dimensional holomorphy, see 46G20, 58B12_
33-XX  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  Ordinary differential equations_
  34C30Manifolds of solutions34Cxx 
  34D40Ultimate boundedness34D05 34C11 34K12 
  34M20Nonanalytic aspects34Mxx 30Dxx 37Fxx 
  34M37Resurgence phenomena34Mxx 30Dxx 37Fxx 
35-XX  Partial differential equations_
  35A05General existence and uniqueness theorems35A01 35A02 
  35A07Local existence and uniqueness theorems [See also 35Hxx, 35Sxx]35A01 35A02 
  35B37PDE in connection with control problems [See also 49J20, 49K20, 93C20]35Q93 
  35D05Existence of generalized solutions35Dxx 
  35D10Regularity of generalized solutions35Dxx 
  35J45General theory of elliptic systems of PDE35J46 35J47 35J48 
  35J55Boundary value problems for elliptic systems35J56 35J57 35J58 
  35J85Unilateral problems and variational inequalities for elliptic PDE [See also 35R35, 49J40]35J86 35J87 
  35K50Boundary value problems for parabolic systems35K51 35K52 
  35M20PDE of composite type35M10 
  35Q58Other completely integrable equations [See also 37J35, 37K10]35C05 
  35Q72Other equations from mechanics35Q70 35Q74 
37-XX  Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]_
39-XX  Difference and functional equations_
  39A11Stability and asymptotics of difference equations; oscillatory and periodic solutions, etc.39A14 39A21 39A22 39A23 39A24 39A28 39A30 39A45 39A50 
40-XX  Sequences, series, summability_
41-XX  Approximations and expansions For all approximation theory in the complex domain, see~; for numerical approximation, see~65Dxx_
42-XX  Fourier analysis_
43-XX  Abstract harmonic analysis For other analysis on topological and Lie groups, see 22Exx_
44-XX  Integral transforms, operational calculus For fractional derivatives and integrals, see 26A33. For Fourier transforms, see . For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10_
45-XX  Integral equations_
46-XX  Functional analysis For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx_
47-XX  Operator theory_
  47H50Potential operators47G40 
  47N55Applications in statistical physics47N50 
49-XX  Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]_
  49J22Optimal control problems involving integral equations49J21 
  49J24Optimal control problems involving differential inclusions [See also 34A60]49J21 
  49J25Optimal control problems involving equations with retarded arguments [See also 34K35]49J21 
  49K22Problems involving integral equations49K21 
  49K24Problems involving differential inclusions [See also 34A60]49K21 
  49K25Problems involving equations with retarded arguments [See also 34K35]49K21 
51-XX  Geometry For algebraic geometry, see 14-XX_
52-XX  Convex and discrete geometry_
53-XX  Differential geometry For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx_
54-XX  General topology For the topology of manifolds of all dimensions, see 57Nxx_
55-XX  Algebraic topology_
57-XX  Manifolds and cell complexes For complex manifolds, see 32Qxx_
58-XX  Global analysis, analysis on manifolds [See also FullScheme49Q15]_
60-XX  Probability theory and stochastic processes For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX_
62-XX  Statistics_
65-XX  Numerical analysis_
  65Q05Difference and functional equations, recurrence relations65Q10 65Q20 65Q30 
68-XX  Computer science For papers involving machine computations and programs in a specific mathematical area, see Section –04 in that area_
70-XX  Mechanics of particles and systems For relativistic mechanics, see~; for statistical mechanics, see~82-XX_
74-XX  Mechanics of deformable solids_
76-XX  Fluid mechanics For general continuum mechanics, see 74Axx, or other parts of 74-XX_
78-XX  Optics, electromagnetic theory For quantum optics, see 81V80_
80-XX  Classical thermodynamics, heat transfer For thermodynamics of solids, see 74A15_
81-XX  Quantum theory_
82-XX  Statistical mechanics, structure of matter_
83-XX  Relativity and gravitational theory_
85-XX  Astronomy and astrophysics For celestial mechanics, see 70F15_
86-XX  Geophysics [See also 76U05, 76V05]_
90-XX  Operations research, mathematical programming_
91-XX  Game theory, economics, social and behavioral sciences_
  91B28Finance, portfolios, investment91Gxx 
92-XX  Biology and other natural sciences_
93-XX  Systems theory; control For optimal control, see 49-XX_
  93B29Differential-geometric methods93B27 
94-XX  Information and communication, circuits_
97-XX  Mathematics education_
  97C80Technological tools and other materials in teaching and learning (research on innovations, role in student learning, use of tools by teachers, etc.)97U70 
 
 

 


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