La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Question : CC = Classical
03-XX Mathematical logic and foundations

• 03B05 Classical propositional logic
• 03B10 Classical first-order logic
• 03B20 Subsystems of classical logic (including intuitionistic logic)
• 03B30 Foundations of classical theories (including reverse mathematics) [See also 03F35]
• 03B60 Other nonclassical logic
• 03C68 Other classical first-order model theory
• 03C90 Nonclassical models (Boolean-valued, sheaf, etc.)
• 03E20 Other classical set theory (including functions, relations, and set algebra)
• 03E30 Axiomatics of classical set theory and its fragments
• 03E70 Nonclassical and second-order set theories

05-XX Combinatorics [For finite fields, see 11Txx]

• 05E15 Combinatorial problems concerning the classical groups [See also 22E45, 33C80]

11-XX Number theory

• 11E57 Classical groups [See also 14Lxx, 20Gxx]

14-XX Algebraic geometry

• 14F25 Classical real and complex cohomology
• 14L35 Classical groups (geometric aspects) [See also 20Gxx, 51N30]
• 14N15 Classical problems, Schubert calculus [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 14M15

20-XX Group theory and generalizations

• 20Gxx Linear algebraic groups (classical groups) [For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see 15A30, 22E45, 22E46, 22E47, 22E50, 22E55]

28-XX Measure and integration [For analysis on manifolds, see 58-XX]

• 28Axx Classical measure theory

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]

• 33Bxx Elementary classical functions
• 33C05 Classical hypergeometric functions, ₂F₁

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

• 37N05 Dynamical systems in classical and celestial mechanics [See mainly 70Fxx, 70Hxx, 70Kxx] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 58F05, 58F40, 70F15, 70Hxx, 70Kxx

42-XX Fourier analysis

• 42A75 Classical almost periodic functions, mean periodic functions [See also 43A60]

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]

• 44A45 Classical operational calculus

46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

• 46B25 Classical Banach spaces in the general theory
• 46Sxx Other (nonclassical) types of functional analysis [See also 47Sxx]

47-XX Operator theory

• 47Sxx Other (nonclassical) types of operator theory [See also 46Sxx]

51-XX Geometry [For algebraic geometry, see 14-XX]

• 51N30 Geometry of classical groups [See also 20Gxx, 14L35]
• 51N35 Questions of classical algebraic geometry [See also 14Nxx]

53-XX Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]

• 53Axx Classical differential geometry

55-XX Algebraic topology

• 55Mxx Classical topics [For the topology of Euclidean spaces and manifolds, see 57Nxx]

60-XX Probability theory and stochastic processes [For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX]

• 60G46 Martingales and classical analysis

70-XX Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX]

• 70Sxx Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX]

74-XX Mechanics of deformable solids

• 74B05 Classical linear elasticity [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 73C02

76-XX Fluid mechanics [For general continuum mechanics, see 74Axx, or other parts of 74-XX]

• 76A25 Superfluids (classical aspects) [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 76A99, 82D50

80-XX Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]

• 80-99 Classical thermodynamics, heat transfer (not classified at a more specific level)
• 80A10 Classical thermodynamics, including relativistic

81-XX Quantum theory

• 81Q20 Semiclassical techniques including WKB and Maslov methods
• 81Txx Quantum field theory; related classical field theories [See also 70Sxx]

82-XX Statistical mechanics, structure of matter

• 82B05 Classical equilibrium statistical mechanics (general)
• 82C05 Classical dynamic and nonequilibrium statistical mechanics (general)

92-XX Biology and other natural sciences

• 92E20 Classical flows, reactions, etc. [See also 80A30, 80A32]

93-XX Systems theory; control [For optimal control, see 49-XX]

• 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, L^p, l^p, etc.)

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