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".

New to version 2 is a Key word search facility. Comments welcome!

Those readers situated in North America may find it quicker to use the version at http://e-math.ams.org/msc/, though currently this site is running version 1.0. There is also a version (as yet without the key word search) at Karlsruhe at http://www.zblmath.fiz-karlsruhe.de/class/MSC91/.

If you want to install a local version on your own machine, a tarred and compressed version (143615 bytes) of version 1.1 (no key word search) is available at http://www.ma.hw.ac.uk/~chris/mr-html.tar.Z, though please inform the author so he can let you know of any updates.

The original plain text and TeX versions of the MSC are available.

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 Reviews 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