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Mathematics Subject Classification – MSC2020

Computer science {For papers containing software, source code, etc. in a specific mathematical area, see the classification number -04 in that area} 358027

68Uxx

Computing methodologies and applications 57467

68U01

General topics in computing methodologies 69

68U03

Computational aspects of digital topology {For topological aspects, see 54H30; for homological aspects, see 55-XX} 12

68U05

Computer graphics; computational geometry (digital and algorithmic aspects) {For methods of numerical mathematics, see 65D18} 14283

68U07

Computer science aspects of computer-aided design {For methods of numerical mathematics, see 65D17} 2046

68U10

Computing methodologies for image processing 14009

68U15

Computing methodologies for text processing; mathematical typography 789

68U35

Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.) [See also 68M11] 5234

68U99

None of the above, but in this section 24053

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

zbMATH — the first resource for mathematics

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Mathematics Subject Classification – MSC2020

Overview