「數學科目分類」:各本之異

文出維基大典
[底本][底本]
刪去的內容 新增的內容
Hillgentleman
無編輯摘要
Hillgentleman
無編輯摘要
第二行: 第二行:
(from http://www.ams.org/msc/)
(from http://www.ams.org/msc/)


以下為 2000年以來[[亞美利堅數學協會]]所編之[[數學回顧]](''Mathematical Reviews'')
2000 Mathematics Subject Classification
與歐洲眾數學協會所編之[[中央數學報]] (''Zentralblatt MATH'')
通用之分類系統:

2000 數學科目分類
*00-xx General
*00-xx General
*01-xx History and biography [See also the classification number -03 in the other sections]
*01-xx History and biography [See also the classification number -03 in the other sections]
第六八行: 第七二行:
94-xx Information and communication, circuits
94-xx Information and communication, circuits
97-xx Mathematics education
97-xx Mathematics education

[[en:Mathematics_Subject_Classification]]

二〇〇六年一〇月四日 (三) 〇四時五一分審

(from http://www.ams.org/msc/)

以下為 2000年以來亞美利堅數學協會所編之數學回顧(Mathematical Reviews) 與歐洲眾數學協會所編之中央數學報 (Zentralblatt MATH) 通用之分類系統:

2000 數學科目分類

  • 00-xx General
  • 01-xx History and biography [See also the classification number -03 in the other sections]
  • 03-xx Mathematical logic and foundations
  • 04-xx This section has been deleted {For set theory see 03Exx}
  • 05-xx Combinatorics {For finite fields, see 11Txx}
  • 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
  • 14-xx Algebraic geometry
  • 15-xx Linear and multilinear algebra; matrix theory
  • 16-xx Associative rings and algebras {For the commutative case, see 13-xx}
  • 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 55Nxx and 55Uxx for algebraic topology}
  • 19-xx $K$-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}
  • 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
  • 35-xx Partial differential equations
  • 37-xx Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx]
  • 39-xx Difference and functional equations
  • 40-xx Sequences, series, summability
  • 41-xx 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 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 42A38, 42B10. 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 57N20, 58Bxx} 47-xx Operator theory 49-xx Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-xx] 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 32Cxx, 32Fxx, 32Wxx, 46-xx, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}

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 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 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 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 92-xx Biology and other natural sciences 93-xx Systems theory; control {For optimal control, see 49-xx} 94-xx Information and communication, circuits 97-xx Mathematics education