Mathematics Subject Classification 2010

Classified 559 articles of 1189 (MML Version 5.20), see MathSC2000 for listing of existing classification pages. See ListOfArticle

Section P S
00? General      
01? History and biography      
03 Mathematical logic and foundations   138 1
05 Combinatorics For finite fields, see 11Txx 17  
06 Order, lattices, ordered algebraic structures See also 18B35 78  
08 General algebraic systems   40 1
11 Number theory   44  
12 Field theory and polynomials   13  
13 Commutative rings and algebras   4  
14 Algebraic geometry   6  
15 Linear and multilinear algebra; matrix theory   25 1
16 Associative rings and algebras For the commutative case, see 13-xx 13  
17? Nonassociative rings and algebras      
18 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 12  
19? $K$-theory See also 16E20, 18F25    
20 Group theory and generalizations   7  
22? Topological groups, Lie groups For transformation groups, see 54H15, 57Sxx, 58-xx. For abstract harmonic analysis, see 43-xx    
26 Real functions See also 54C30 31  
28 Measure and integration For analysis on manifolds, see 58-xx 13  
30? Functions of a complex variable For analysis on manifolds, see 58-xx    
31? Potential theory For probabilistic potential theory, see 60J45    
32? Several complex variables and analytic spaces For infinite-dimensional holomorphy, see 46G20, 58B12    
33 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 8  
34? Ordinary differential equations      
35? Partial differential equations      
37? Dynamical systems and ergodic theory See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx    
39? Difference and functional equations      
40 Sequences, series, summability   6  
41? 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? Fourier analysis      
43? Abstract harmonic analysis For other analysis on topological and Lie groups, see 22Exx    
44? 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? Integral equations      
46 Functional analysis For manifolds modeled on topological linear spaces, see 57N20, 58Bxx 9  
47? Operator theory      
49? Calculus of variations and optimal control; optimization See also 34H05, 34K35, 65Kxx, 90Cxx, 93-xx    
51? Geometry For algebraic geometry, see 14-xx    
52? Convex and discrete geometry      
53? Differential geometry For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx    
54 General topology For the topology of manifolds of all dimensions, see 57Nxx 16  
55? Algebraic topology      
57? Manifolds and cell complexes For complex manifolds, see 32Qxx    
58? Global analysis, analysis on manifolds See also 32Cxx, 32Fxx, 32Wxx, 46-xx, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15    
60? Probability theory and stochastic processes For additional applications, see 11Kxx, 62-xx, 90-xx, 91-xx,92-xx, 93-xx, 94-xx    
62? Statistics      
65? Numerical analysis      
68 Computer science For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area 59  
70? Mechanics of particles and systems For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx    
74? Mechanics of deformable solids      
76? Fluid mechanics For general continuum mechanics, see 74Axx, or other parts of 74-xx    
78? Optics, electromagnetic theory For quantum optics, see 81V80    
80? Classical thermodynamics, heat transfer For thermodynamics of solids, see 74A15    
81? Quantum theory      
82? Statistical mechanics, structure of matter      
83? Relativity and gravitational theory      
85? Astronomy and astrophysics For celestial mechanics, see 70F15    
86? Geophysics See also 76U05, 76V05    
90? Operations research, mathematical programming      
91? Game theory, economics, social and behavioral sciences      
92? Biology and other natural sciences      
93? Systems theory; control For optimal control, see 49-xx    
94 Information and communication, circuits   20  
97? Mathematics education      

P = Primary classification

S = Secondary classification

TopicClassification MathSC2000

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Topic attachments
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txttxt MSC2010.txt manage 12.2 K 2013-11-01 - 19:20 GrzegorzBancerek  
Topic revision: r32 - 2016-05-27 - 16:51:30 - MarcoRiccardi
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