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.] |
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
|
![[MathMap Icon]](mini.gif)
