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Mathematics Subject Classification – MSC2020

Optics, electromagnetic theory {For quantum optics, see 81V80} 38797

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to optics and electromagnetic theory 23

78-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory 424

78-02

Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory 491

78-03

History of optics and electromagnetic theory [Consider also classification numbers pertaining to Section 01-XX] 377

78-04

Software, source code, etc. for problems pertaining to optics and electromagnetic theory 219

78-05

Experimental work for problems pertaining to optics and electromagnetic theory 192

78-06

Proceedings, conferences, collections, etc. pertaining to optics and electromagnetic theory 325

78-10

Mathematical modeling or simulation for problems pertaining to optics and electromagnetic theory 0

78-11

Research data for problems pertaining to optics and electromagnetic theory 0

78Axx

General 34506

78A02

Foundations in optics and electromagnetic theory 341

78A05

Geometric optics 1338

78A10

Physical optics 1037

78A15

Electron optics 301

78A20

Space charge waves 77

78A25

Electromagnetic theory, general 5753

78A30

Electro- and magnetostatics 2345

78A35

Motion of charged particles 2462

78A37

Ion traps 222

78A40

Waves and radiation in optics and electromagnetic theory 4422

78A45

Diffraction, scattering {For WKB methods see 34E20} 5658

78A46

Inverse problems (including inverse scattering) in optics and electromagnetic theory 1595

78A48

Composite media; random media in optics and electromagnetic theory 1038

78A50

Antennas, waveguides in optics and electromagnetic theory 3774

78A55

Technical applications of optics and electromagnetic theory 3981

78A57

Electrochemistry 229

78A60

Lasers, masers, optical bistability, nonlinear optics [See also 81V80] 4017

78A70

Biological applications of optics and electromagnetic theory [See also 91D30, 92C30] 779

78A97

Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX) 91

78A99

None of the above, but in this section 483

78Mxx

Basic methods for problems in optics and electromagnetic theory [See also 65-XX] 8544

78M05

Method of moments applied to problems in optics and electromagnetic theory 404

78M10

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory 2501

78M12

Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory 100

78M15

Boundary element methods applied to problems in optics and electromagnetic theory 748

78M16

Multipole methods applied to problems in optics and electromagnetic theory 124

78M20

Finite difference methods applied to problems in optics and electromagnetic theory 1338

78M22

Spectral, collocation and related methods applied to problems in optics and electromagnetic theory 139

78M30

Variational methods applied to problems in optics and electromagnetic theory 328

78M31

Monte Carlo methods applied to problems in optics and electromagnetic theory 77

78M32

Neural and heuristic methods applied to problems in optics and electromagnetic theory 32

78M34

Model reduction in optics and electromagnetic theory 81

78M35

Asymptotic analysis in optics and electromagnetic theory 332

78M40

Homogenization in optics and electromagnetic theory 168

78M50

Optimization problems in optics and electromagnetic theory 724

78M99

None of the above, but in this section 185

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

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Mathematics Subject Classification – MSC2020

Overview