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 13xx  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, 58xx. For abstract harmonic analysis, see 43xx  
26  Real functions  See also 54C30  31  
28  Measure and integration  For analysis on manifolds, see 58xx  13  
30?  Functions of a complex variable  For analysis on manifolds, see 58xx  
31?  Potential theory  For probabilistic potential theory, see 60J45  
32?  Several complex variables and analytic spaces  For infinitedimensional holomorphy, see 46G20, 58B12  
33  Special functions  (33xx deals with the properties of functions as functions) For orthogonal functions, see 42Cxx; for aspects of combinatorics, see 05Axx; for numbertheoretic aspects, see 11xx; 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, 70xx  
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, 93xx  
51?  Geometry  For algebraic geometry, see 14xx  
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, 46xx, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15  
60?  Probability theory and stochastic processes  For additional applications, see 11Kxx, 62xx, 90xx, 91xx,92xx, 93xx, 94xx  
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 82xx  
74?  Mechanics of deformable solids  
76?  Fluid mechanics  For general continuum mechanics, see 74Axx, or other parts of 74xx  
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 49xx  
94  Information and communication, circuits  20  
97?  Mathematics education 
P = Primary classification
S = Secondary classification
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