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	INDEX USING MATHEMATICS SUBJECT CLASSIFICATION

The index pages at this site are organized according to the Mathematics Subject Classification (MSC) scheme. (This is the scheme developed by the American Mathematical Society and Zentralblatt für Mathematik. Here's the original.) Begin with a major heading from the right column below.

Alternative hierarchies to sort through the mathematical landscape are provided in the left column below. If you are more comfortable with one of them, select it to begin; you will eventually be directed to a blue index page in the MSC hierarchy which matches your area of interest. See also the alternative navigation tools at the top of this page.

Broad subdivisions of Mathematics Core branches of mathematics: Foundations (Abstract) Algebra and Number Theory Geometry and Topology Mathematical Analysis including Calculus and Real Analysis Complex variable Analysis Differential Equations and related topics Functional Analysis and related topics Numerical Analysis and Optimization Applied and related areas: Computer and Information Sciences Probability and Statistics Physical Sciences and Engineering History, Education, Other Other organization schemes: Library of Congress Dewey Decimal Referativnyi Zhurnal [125Kb] NSF Mathematics Programs "Encyclopedic Dictionary" system ArXiv Preprint server MAA Basic Library List Historical systems (1900, 1930) Other views Areas not corresponding to MSC headings: (Few index pages yet; sorry.) Areas larger than MSC headings (e.g. Topology) Areas identified by non-MSC systems (e.g. Quantum Algebras) Topics cutting across MSC boundaries (e.g. Spheres) Now-defunct MSC areas (e.g. Operational calculus) Minor but well-publicized areas (e.g. Fractals) Organized by audience (e.g. Financial mathematics) Topics too elementary for MSC (e.g. Calculus) Peripheral topics (e.g. Accounting) Completely mis-filed topics (e.g. Numerology) [Note that the latest revision of the MSC was put into use for January 2000; not all pages at this site have been adapted yet.]

Top-level subject areas in the MSC 00: General material including elementary mathematics 01: History and biography 03: Mathematical logic and foundations 05: Combinatorics and graph theory 06: Order, lattices, ordered algebraic structures 08: General algebraic systems 11: Number theory 12: Field theory and polynomials 13: Commutative rings and algebras 14: Algebraic geometry 15: Linear and multilinear algebra; matrix theory 16: Associative rings and algebras 17: Nonassociative rings and algebras 18: Category theory, homological algebra 19: K-theory 20: Group theory and generalizations 22: Topological groups, Lie groups 26: Real functions and elementary calculus 28: Measure and integration 30: Functions of a complex variable 31: Potential theory 32: Several complex variables and analytic spaces 33: Special functions including trigonometric functions 34: Ordinary differential equations 35: Partial differential equations 37: Dynamical systems and ergodic theory 39: Difference and functional equations 40: Sequences, series, summability 41: Approximations and expansions 42: Fourier analysis 43: Abstract harmonic analysis 44: Integral transforms, operational calculus 45: Integral equations 46: Functional analysis 47: Operator theory 49: Calculus of variations and optimal control; optimization 51: Geometry, including classic Euclidean geometry 52: Convex and discrete geometry 53: Differential geometry 54: General topology 55: Algebraic topology 57: Manifolds and cell complexes 58: Global analysis, analysis on manifolds 60: Probability theory and stochastic processes 62: Statistics 65: Numerical analysis 68: Computer science 70: Mechanics of particles and systems 74: Mechanics of deformable solids 76: Fluid mechanics 78: Optics, electromagnetic theory 80: Classical thermodynamics, heat transfer 81: Quantum Theory 82: Statistical mechanics, structure of matter 83: Relativity and gravitational theory 85: Astronomy and astrophysics 86: Geophysics 90: Operations research, mathematical programming 91: Game theory, economics, social and behavioral sciences 92: Biology and other natural sciences 93: Systems theory; control 94: Information and communication, circuits 97: Mathematics education