Mathematics Subject Classification

The Mathematics Subject Classification (MSC) system is an alphanumeric ordering system for categorizing or arranging mathematical topics, similar to how a library arranges or orders their books on the shelves. The system was invented by the American Mathematical Society based on two major mathematical publishers: Mathematical Reviews and Zentralblatt MATH. The MSC system is used by many journals of mathematics which ask authors to list the MSC subject codes in their papers when submitted for publication.

The 2020 Mathematics Subject Classification is as follows:

 00 General and overarching topics; collections
 01 History and biography
 03 Mathematical logic and foundations
 05 Combinatorics
 06 Order, lattices, ordered algebraic structures
 08 General algebraic systems
 11 Number theory
 12 Field theory and polynomials
 13 Commutative algebra
 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
 28 Measure and integration
 30 Functions of a complex variable
 31 Potential theory
 32 Several complex variables and analytic spaces
 33 Special 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 Harmonic analysis on Euclidean spaces
 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
 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

References

Other websites
Mathematics Subject Classification 2010 

Category:Mathematics