The Mathematics Subject Classification (MSC) is a system used to
categorize items covered by Mathematical Reviews and Zentralblatt
für Mathematik. The current classification system has been used
since 1991 (a few minor changes and
additions were made in 1995). The MSC is broken down into over 5,000
two-, three-, and five-digit classfications, each corresponding to a
discipline of mathematics (e.g., 62 = Statistics; 62N = Engineering
statistics; 62N10 = Quality control). The 1991 Mathematics Subject
Classification is being completely revised. The new classification,
MSC2000, will be used starting in the year 2000.
You can browse the entire MSC but the earlier search of the MSC by text or classification code has been removed in this archive version.
The search program was based on one developed by Chris Eilbeck of Heriot-Watt University, Edinburgh.
Browse the 1991 MSC
- 00-XX General
- 01-XX History and biography
- 03-XX Mathematical logic and foundations
- 04-XX Set theory {See also 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 {(finite and infinite)}
- 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
- 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 also
46G20, 58B12}
- 33-XX Special functions,
{33-XX deals with the properties
of functions as functions. For orthogonal functions,
See also 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
- 39-XX Finite differences 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
- 46-XX Functional analysis,
{For manifolds modeled on
topological linear spaces, see 57N20,
58Bxx}
- 47-XX Operator theory
- 49-XX Calculus of variations and optimal control;
optimization {See also 34H05, 65Kxx, 90Cxx,
93-XX}
- 51-XX Geometry,{For algebraic
geometry, see 14-XX}
- 52-XX Convex and discrete geometry
- 53-XX Differential geometry,{For differential topology, see
57Rxx. For foundational questions of differentiable
manifolds, see 58Axx}
- 54-XX General topology,{For the
topology of manifolds of
all dimensions, see 57Nxx}
- 55-XX Algebraic topology
- 57-XX Manifolds and cell complexes,
{For complex manifolds,
See 32C10}
- 58-XX Global analysis, analysis on
manifolds {See also 32-XX}
{32Cxx,
32Fxx},
46-XX,
47Hxx,
53Cxx; for geometric integration theory,
See {49Fxx}
{49Q15}}
- 60-XX Probability theory and stochastic
processes, {For additional applications, see
11Kxx,
62-XX,
90-XX,
92-XX,
93-XX,
94-XX. For numerical results,
See 65U05}
- 62-XX Statistics,
{For numerical methods, see 65U05}
- 65-XX Numerical analysis
- 68-XX Computer science, {For
papers involving machine computations and programs in a specific
mathematical area, see Section -04 in that area}
- 70-XX Mechanics of particles and
systems,{For relativistic mechanics, see {83-XX} {83A05 and
83C10}; for statistical mechanics, see
82-XX}
- 73-XX Mechanics of solids
- 76-XX Fluid mechanics, {For general continuum mechanics, see
73Bxx, or other parts of 73-XX}
- 78-XX Optics, electromagnetic
theory, {For quantum optics,
See 81V80}
- 80-XX Classical thermodynamics, heat transfer,{For
thermodynamics of solids, see 73B30}
- 81-XX Quantum Theory
- 82-XX Statistical mechanics, structure of matter
- 83-XX Relativity and gravitational theory
- 85-XX Astronomy and astrophysics, {For celestial mechanics,
See 70F15}
- 86-XX Geophysics {See also 73N05, 76U05, 76V05}
- 90-XX Economics, operations research, programming, games
- 92-XX Biology and other natural sciences, behavioral
sciences
- 93-XX Systems theory; control,
{For optimal control, see 49-XX}
- 94-XX Information and communication,
circuits