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.

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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