# Search and Browse the MSC 2000

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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.

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18-XX
Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology} → ZMATH

22-XX
Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} → ZMATH

32-XX
Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12} → ZMATH

33-XX
Special functions (33-XX deals with the properties of functions as functions) {For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; for representation theory see 22Exx} → ZMATH

37-XX
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] → ZMATH

41-XX
Approximations and expansions {For all approximation theory in the complex domain, see 30Exx, 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10 and 42A15; for numerical approximation, see 65Dxx} → ZMATH

43-XX
Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx} → ZMATH

44-XX
Integral transforms, operational calculus {For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10} → ZMATH

46-XX
Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} → ZMATH

49-XX
Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] → ZMATH

53-XX
Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} → ZMATH

60-XX
Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} → ZMATH

68-XX
Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area} → ZMATH

70-XX
Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX} → ZMATH