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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:
Applied and related areas:
Other organization schemes:
Areas not corresponding to MSC headings:
(Few index pages yet; sorry.)
[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.]
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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
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Categories: Algebra