數學科目分類各本之異

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2000 Mathematics Subject Classification
*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
二三九〇