The MathNet Korea
Information Center for Mathematical Science

MSC

Information Center for Mathematical Science

MSC

1 00-XX General
2 01-XX History and biography [See also the classification number -03 in the other sections]
3 03-XX Mathematical logic and foundations
4 04-XX This section has been deleted {For set theory see 03Exx}
5 05-XX Combinatorics {For finite fields, see11Txx}
6 06-XX Order, lattices, ordered algebraic structures [See also 18B35]
7 08-XX General algebraic systems
8 11-XX Number theory
9 12-XX Field theory and polynomials
10 13-XX Commutative rings and algebras
11 14-XX Algebraic geometry
12 15-XX Linear and multilinear algebra; matrix theory
13 16-XX Associative rings and algebras {For the commutative case, see 13-XX}
14 17-XX Nonassociative rings and algebras
15 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}
16 19-XX $K$-theory [See also 16E20, 18F25]
17 20-XX Group theory and generalizations
18 22-XX Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}
19 26-XX Real functions [See also 54C30]
20 28-XX Measure and integration {For analysis on manifolds, see 58-XX}
21 30-XX Functions of a complex variable {For analysis on manifolds, see 58-XX}
22 31-XX Potential theory {For probabilistic potential theory, see 60J45}
23 32-XX Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12}
24 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}
25 34-XX Ordinary differential equations
26 35-XX Partial differential equations
27 37-XX Dynamical systems and ergodic theory [See also 26A18, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
28 39-XX Difference and functional equations
29 40-XX Sequences, series, summability
30 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}
31 42-XX Fourier analysis
32 43-XX Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
33 44-XX Integral transforms, operational calculus {For fractionalderivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10}
34 45-XX Integral equations
35 46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57N20, 58Bxx}
36 47-XX Operator theory
37 49-XX Calculus of variations and optimal control; optimization[See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
38 51-XX Geometry {For algebraic geometry, see 14-XX}
39 52-XX Convex and discrete geometry
40 53-XX Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}
41 54-XX General topology {For the topology of manifolds of all dimensions,see 57Nxx}
42 55-XX Algebraic topology
43 57-XX Manifolds and cell complexes {For complex manifolds, see 32Qxx}
44 58-XX Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory,see 49Q15}
45 60-XX Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX,92-XX, 93-XX, 94-XX]
46 62-XX Statistics
47 65-XX Numerical analysis
48 68-XX Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area}
49 70-XX Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX}
50 73-XX This section has been deleted {For mechanics of solids, see 74-XX}
51 74-XX Mechanics of deformable solids
52 76-XX Fluid mechanics {For general continuum mechanics, see 74Axx, other parts of 74-XX}
53 78-XX Optics, electromagnetic theory {For quantum optics, see 81V80}
54 80-XX Classical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15}
55 81-XX Quantum theory
56 82-XX Statistical mechanics, structure of matter
57 83-XX Relativity and gravitational theory
58 85-XX Astronomy and astrophysics {For celestial mechanics, see 70F15}
59 86-XX Geophysics [See also 76U05, 76V05]
60 90-XX Operations research, mathematical programming
61 91-XX Game theory, economics, social and behavioral sciences
62 92-XX Biology and other natural sciences
63 93-XX Systems theory; control {For optimal control, see 49-XX}
64 94-XX Information and communication, circuits
65 97-XX Mathematics education