User:Mathbot/msc
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The aim of this table is to establish a correspondence between the American Mathematical Society's Mathematics Subject Classification (2000 edition) and corresponding mathematics categories on Wikipedia. See also the list of mathematics categories and areas of mathematics.
| 00-xx | General | Category:Mathematics |
| 01-xx | History and biography [See also the classification number -03 in the other sections] | Category:History of mathematics Category:Mathematicians |
| 03-xx | Mathematical logic and foundations | Category:Mathematical logic |
| 04-xx | This section has been deleted {For set theory see 03Exx } | |
| 05-xx | Combinatorics {For finite fields, see 11Txx } | Category:Combinatorics |
| 06-xx | Order, lattices, ordered algebraic structures [See also 18B35 ] | Category:Order theory |
| 08-xx | General algebraic systems | Category:Abstract algebra |
| 11-xx | Number theory | Category:Number theory |
| 12-xx | Field theory and polynomials | Category:Field theory Category:Polynomials |
| 13-xx | Commutative rings and algebras | Category:Ring theory Category:Commutative algebra |
| 14-xx | Algebraic geometry | Category:Algebraic geometry |
| 15-xx | Linear and multilinear algebra; matrix theory | Category:Linear algebra Category:Multilinear algebra Category:Matrix theory |
| 16-xx | Associative rings and algebras {For the commutative case, see 13-xx } | Category:Ring theory |
| 17-xx | Nonassociative rings and algebras | Category:Nonassociative algebra |
| 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} | Category:Category theory Category:Homological algebra |
| 19-xx | $K$-theory [See also 16E20 , 18F25 ] | Category:K-theory |
| 20-xx | Group theory and generalizations | Category:Group theory |
| 22-xx | Topological groups, Lie groups {For transformation groups, see 54H15 , 57Sxx , 58-xx . For abstract harmonic analysis, see 43-xx } | Category:Topological groups Category:Lie groups |
| 26-xx | Real functions [See also 54C30 ] | Category:Real analysis |
| 28-xx | Measure and integration {For analysis on manifolds, see 58-xx } | Category:Measure theory Category:Integral calculus |
| 30-xx | Functions of a complex variable {For analysis on manifolds, see 58-xx } | Category:Complex analysis |
| 31-xx | Potential theory {For probabilistic potential theory, see 60J45 } | Category:Potential theory |
| 32-xx | Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20 , 58B12 } | Category:Several complex variables |
| 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 } | Category:Special functions |
| 34-xx | Ordinary differential equations | Category:Ordinary differential equations |
| 35-xx | Partial differential equations | Category:Partial differential equations |
| 37-xx | Dynamical systems and ergodic theory [See also 26A18 , 28Dxx , 34Cxx , 34Dxx , 35Bxx , 46Lxx , 58Jxx , 70-xx ] | Category:Dynamical systems Category:Ergodic theory |
| 39-xx | Difference and functional equations | Category:Equations |
| 40-xx | Sequences, series, summability | Category:Sequences Category:Mathematical series |
| 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 } | Category:Approximation theory |
| 42-xx | Fourier analysis | Category:Fourier analysis |
| 43-xx | Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx } | Category:Harmonic analysis |
| 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 } | Category:Integral transforms |
| 45-xx | Integral equations | Category:Integral equations |
| 46-xx | Functional analysis {For manifolds modeled on topological linear spaces, see 57N20 , 58Bxx } | Category:Functional analysis |
| 47-xx | Operator theory | Category:Operator theory |
| 49-xx | Calculus of variations and optimal control; optimization [See also 34H05 , 34K35 , 65Kxx , 90Cxx , 93-xx ] | Category:Calculus of variations Category:Optimization |
| 51-xx | Geometry {For algebraic geometry, see 14-xx } | Category:Geometry |
| 52-xx | Convex and discrete geometry | Category:Discrete geometry |
| 53-xx | Differential geometry {For differential topology, see 57Rxx . For foundational questions of differentiable manifolds, see 58Axx } | Category:Differential geometry |
| 54-xx | General topology {For the topology of manifolds of all dimensions, see 57Nxx } | Category:General topology |
| 55-xx | Algebraic topology | Category:Algebraic topology |
| 57-xx | Manifolds and cell complexes {For complex manifolds, see 32Qxx } | Category:Differential topology |
| 58-xx | Global analysis, analysis on manifolds [See also 32Cxx , 32Fxx , 32Wxx , 46-xx , 47Hxx , 53Cxx ] {For geometric integration theory, see 49Q15 } | Category:Differential geometry |
| 60-xx | Probability theory and stochastic processes {For additional applications, see 11Kxx , 62-xx , 90-xx , 91-xx , 92-xx , 93-xx , 94-xx ] | Category:Probability theory Category:Stochastic processes |
| 62-xx | Statistics | Category:Statistics |
| 65-xx | Numerical analysis | Category:Numerical analysis |
| 68-xx | Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area} | Category:Computer science |
| 70-xx | Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10 ; for statistical mechanics, see 82-xx } | Category:Mechanics |
| 73-xx | This section has been deleted {For mechanics of solids, see 74-xx } | |
| 74-xx | Mechanics of deformable solids | Category:Continuum mechanics |
| 76-xx | Fluid mechanics {For general continuum mechanics, see 74Axx , or other parts of 74-xx } | Category:Fluid mechanics |
| 78-xx | Optics, electromagnetic theory {For quantum optics, see 81V80 } | Category:Optics Category:Electromagnetism |
| 80-xx | Classical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15 } | Category:Thermodynamics |
| 81-xx | Quantum theory | Category:Quantum mechanics Category:Quantum optics |
| 82-xx | Statistical mechanics, structure of matter | Category:Statistical mechanics |
| 83-xx | Relativity and gravitational theory | Category:Relativity |
| 85-xx | Astronomy and astrophysics {For celestial mechanics, see 70F15 } | Category:Astronomy Category:Astrophysics |
| 86-xx | Geophysics [See also 76U05 , 76V05 ] | Category:Geophysics |
| 90-xx | Operations research, mathematical programming | Category:Optimization Category:Operations research |
| 91-xx | Game theory, economics, social and behavioral sciences | Category:Game theory Category:Economics Category:Social sciences |
| 92-xx | Biology and other natural sciences | Category:Mathematical biology |
| 93-xx | Systems theory; control {For optimal control, see 49-xx } | Category:Systems theory |
| 94-xx | Information and communication, circuits | Category:Information theory |
| 97-xx | Mathematics education | Category:Mathematics education |
