# Mathematics Subject Classification – MSC 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, finance, and other social and behavioral sciences 92 Biology and other natural sciences 93 Systems theory; control 94 Information and communication theory, circuits 97 Mathematics education *** [00](https://zbmath.org/classification/?q=cc%3A00) [General and overarching topics; collections](https://zbmath.org/classification/?q=cc%3A00) [01](https://zbmath.org/classification/?q=cc%3A01) [History and biography](https://zbmath.org/classification/?q=cc%3A01) [03](https://zbmath.org/classification/?q=cc%3A03) [Mathematical logic and foundations](https://zbmath.org/classification/?q=cc%3A03) [05](https://zbmath.org/classification/?q=cc%3A05) [Combinatorics](https://zbmath.org/classification/?q=cc%3A05) [06](https://zbmath.org/classification/?q=cc%3A06) [Order, lattices, ordered algebraic structures](https://zbmath.org/classification/?q=cc%3A06) [08](https://zbmath.org/classification/?q=cc%3A08) [General algebraic systems](https://zbmath.org/classification/?q=cc%3A08) [11](https://zbmath.org/classification/?q=cc%3A11) [Number theory](https://zbmath.org/classification/?q=cc%3A11) [12](https://zbmath.org/classification/?q=cc%3A12) [Field theory and polynomials](https://zbmath.org/classification/?q=cc%3A12) [13](https://zbmath.org/classification/?q=cc%3A13) [Commutative algebra](https://zbmath.org/classification/?q=cc%3A13) [14](https://zbmath.org/classification/?q=cc%3A14) [Algebraic geometry](https://zbmath.org/classification/?q=cc%3A14) [15](https://zbmath.org/classification/?q=cc%3A15) [Linear and multilinear algebra; matrix theory](https://zbmath.org/classification/?q=cc%3A15) [16](https://zbmath.org/classification/?q=cc%3A16) [Associative rings and algebras](https://zbmath.org/classification/?q=cc%3A16) [17](https://zbmath.org/classification/?q=cc%3A17) [Nonassociative rings and algebras](https://zbmath.org/classification/?q=cc%3A17) [18](https://zbmath.org/classification/?q=cc%3A18) [Category theory; homological algebra](https://zbmath.org/classification/?q=cc%3A18) [19](https://zbmath.org/classification/?q=cc%3A19) [K-theory](https://zbmath.org/classification/?q=cc%3A19) [20](https://zbmath.org/classification/?q=cc%3A20) [Group theory and generalizations](https://zbmath.org/classification/?q=cc%3A20) [22](https://zbmath.org/classification/?q=cc%3A22) [Topological groups, Lie groups](https://zbmath.org/classification/?q=cc%3A22) [26](https://zbmath.org/classification/?q=cc%3A26) [Real functions](https://zbmath.org/classification/?q=cc%3A26) [28](https://zbmath.org/classification/?q=cc%3A28) [Measure and integration](https://zbmath.org/classification/?q=cc%3A28) [30](https://zbmath.org/classification/?q=cc%3A30) [Functions of a complex variable](https://zbmath.org/classification/?q=cc%3A30) [31](https://zbmath.org/classification/?q=cc%3A31) [Potential theory](https://zbmath.org/classification/?q=cc%3A31) [32](https://zbmath.org/classification/?q=cc%3A32) [Several complex variables and analytic spaces](https://zbmath.org/classification/?q=cc%3A32) [33](https://zbmath.org/classification/?q=cc%3A33) [Special functions](https://zbmath.org/classification/?q=cc%3A33) [34](https://zbmath.org/classification/?q=cc%3A34) [Ordinary differential equations](https://zbmath.org/classification/?q=cc%3A34) [35](https://zbmath.org/classification/?q=cc%3A35) [Partial differential equations](https://zbmath.org/classification/?q=cc%3A35) [37](https://zbmath.org/classification/?q=cc%3A37) [Dynamical systems and ergodic theory](https://zbmath.org/classification/?q=cc%3A37) [39](https://zbmath.org/classification/?q=cc%3A39) [Difference and functional equations](https://zbmath.org/classification/?q=cc%3A39) [40](https://zbmath.org/classification/?q=cc%3A40) [Sequences, series, summability](https://zbmath.org/classification/?q=cc%3A40) [41](https://zbmath.org/classification/?q=cc%3A41) [Approximations and expansions](https://zbmath.org/classification/?q=cc%3A41) [42](https://zbmath.org/classification/?q=cc%3A42) [Harmonic analysis on Euclidean spaces](https://zbmath.org/classification/?q=cc%3A42) [43](https://zbmath.org/classification/?q=cc%3A43) [Abstract harmonic analysis](https://zbmath.org/classification/?q=cc%3A43) [44](https://zbmath.org/classification/?q=cc%3A44) [Integral transforms, operational calculus](https://zbmath.org/classification/?q=cc%3A44) [45](https://zbmath.org/classification/?q=cc%3A45) [Integral equations](https://zbmath.org/classification/?q=cc%3A45) [46](https://zbmath.org/classification/?q=cc%3A46) [Functional analysis](https://zbmath.org/classification/?q=cc%3A46) [47](https://zbmath.org/classification/?q=cc%3A47) [Operator theory](https://zbmath.org/classification/?q=cc%3A47) [49](https://zbmath.org/classification/?q=cc%3A49) [Calculus of variations and optimal control; optimization](https://zbmath.org/classification/?q=cc%3A49) [51](https://zbmath.org/classification/?q=cc%3A51) [Geometry](https://zbmath.org/classification/?q=cc%3A51) [52](https://zbmath.org/classification/?q=cc%3A52) [Convex and discrete geometry](https://zbmath.org/classification/?q=cc%3A52) [53](https://zbmath.org/classification/?q=cc%3A53) [Differential geometry](https://zbmath.org/classification/?q=cc%3A53) [54](https://zbmath.org/classification/?q=cc%3A54) [General topology](https://zbmath.org/classification/?q=cc%3A54) [55](https://zbmath.org/classification/?q=cc%3A55) [Algebraic topology](https://zbmath.org/classification/?q=cc%3A55) [57](https://zbmath.org/classification/?q=cc%3A57) [Manifolds and cell complexes](https://zbmath.org/classification/?q=cc%3A57) [58](https://zbmath.org/classification/?q=cc%3A58) [Global analysis, analysis on manifolds](https://zbmath.org/classification/?q=cc%3A58) [60](https://zbmath.org/classification/?q=cc%3A60) [Probability theory and stochastic processes](https://zbmath.org/classification/?q=cc%3A60) [62](https://zbmath.org/classification/?q=cc%3A62) [Statistics](https://zbmath.org/classification/?q=cc%3A62) [65](https://zbmath.org/classification/?q=cc%3A65) [Numerical analysis](https://zbmath.org/classification/?q=cc%3A65) [68](https://zbmath.org/classification/?q=cc%3A68) [Computer science](https://zbmath.org/classification/?q=cc%3A68) [70](https://zbmath.org/classification/?q=cc%3A70) [Mechanics of particles and systems](https://zbmath.org/classification/?q=cc%3A70) [74](https://zbmath.org/classification/?q=cc%3A74) [Mechanics of deformable solids](https://zbmath.org/classification/?q=cc%3A74) [76](https://zbmath.org/classification/?q=cc%3A76) [Fluid mechanics](https://zbmath.org/classification/?q=cc%3A76) [78](https://zbmath.org/classification/?q=cc%3A78) [Optics, electromagnetic theory](https://zbmath.org/classification/?q=cc%3A78) [80](https://zbmath.org/classification/?q=cc%3A80) [Classical thermodynamics, heat transfer](https://zbmath.org/classification/?q=cc%3A80) [81](https://zbmath.org/classification/?q=cc%3A81) [Quantum theory](https://zbmath.org/classification/?q=cc%3A81) [82](https://zbmath.org/classification/?q=cc%3A82) [Statistical mechanics, structure of matter](https://zbmath.org/classification/?q=cc%3A82) [83](https://zbmath.org/classification/?q=cc%3A83) [Relativity and gravitational theory](https://zbmath.org/classification/?q=cc%3A83) [85](https://zbmath.org/classification/?q=cc%3A85) [Astronomy and astrophysics](https://zbmath.org/classification/?q=cc%3A85) [86](https://zbmath.org/classification/?q=cc%3A86) [Geophysics](https://zbmath.org/classification/?q=cc%3A86) [90](https://zbmath.org/classification/?q=cc%3A90) [Operations research, mathematical programming](https://zbmath.org/classification/?q=cc%3A90) [91](https://zbmath.org/classification/?q=cc%3A91) [Game theory, economics, finance, and other social and behavioral sciences](https://zbmath.org/classification/?q=cc%3A91) [92](https://zbmath.org/classification/?q=cc%3A92) [Biology and other natural sciences](https://zbmath.org/classification/?q=cc%3A92) [93](https://zbmath.org/classification/?q=cc%3A93) [Systems theory; control](https://zbmath.org/classification/?q=cc%3A93) [94](https://zbmath.org/classification/?q=cc%3A94) [Information and communication theory, circuits](https://zbmath.org/classification/?q=cc%3A94) [97](https://zbmath.org/classification/?q=cc%3A97) [Mathematics education](https://zbmath.org/classification/?q=cc%3A97)