This is version 2.1 (April 1996) of a hypertext version of the MSC, prepared by Chris Eilbeck of Heriot-Watt University, Edinburgh. If you have any comments regarding this implementation, please email the author (chris@ma.hw.ac.uk), quoting the version number. And in case you're wondering, he didn't type in all the 2647 hyperlinks himself, he wrote a Perl programme to process the index automatically. Version 2.1 corrects a bug in 2.0 where some links of the form "-XX" were incorrectly written as "-xx".

An introduction to the current (1991) MSC, and instructions on how to use it, are available.

Readers new to the MSC should note that it is only a tool to find
the Mathematical Review Classification number of a specified area of
mathematics, useful for journal editors and authors submitting papers
where this number is required. It does **not** provide links with
the contents of Mathematical Revies or with any other information on these subject areas.

- 00-XX General
- 01-XX History and biography {See also the classification number --03 in the other sections}
- 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

*Last updated 12 Feb 1996*Chris Eilbeck / Heriot-Watt University/ chris@ma.hw.ac.uk