ÐÀÇÄÅË:

- (00-XX) General
- (01-XX) History and biography [See also the classification number –03 in the other sections]
- (03-XX) Mathematical logic and foundations
- (05-XX) Combinatorics {For finite fields, see 11Txx}
- (06-XX) Order, lattices, ordered algebraic structures [See also 18B35]
- (08-XX) General algebraic systems
- (11-XX) Number theory
- (12-XX) Field theory and polynomials
- (13-XX) Commutative algebra
- (14-XX) Algebraic geometry
- (15-XX) Linear and multilinear algebra; matrix theory
- (16-XX) Associative rings and algebras {For the commutative case, see 13-XX}
- (17-XX) Nonassociative rings and algebras
- (19-XX) K-theory [See also 16E20, 18F25]
- (20-XX) Group theory and generalizations
- (22-XX) Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}
- (26-XX) Real functions [See also 54C30]
- (28-XX) Measure and integration {For analysis on manifolds, see 58-XX}
- (30-XX) Functions of a complex variable {For analysis on manifolds, see 58-XX}
- (31-XX) Potential theory {For probabilistic potential theory, see 60J45}
- (32-XX) Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12}
- (34-XX) Ordinary differential equations
- (35-XX) Partial differential equations
- (37-XX) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
- (39-XX) Difference and functional equations
- (40-XX) Sequences, series, summability
- (42-XX) Harmonic analysis on Euclidean spaces
- (43-XX) Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
- (45-XX) Integral equations
- (46-XX) Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
- (47-XX) Operator theory
- (49-XX) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
- (51-XX) Geometry {For algebraic geometry, see 14-XX}
- (52-XX) Convex and discrete geometry
- (53-XX) Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}
- (54-XX) General topology {For the topology of manifolds of all dimensions, see 57Nxx}
- (55-XX) Algebraic topology
- (57-XX) Manifolds and cell complexes {For complex manifolds, see 32Qxx}
- (58-XX) Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}
- (60-XX) Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX}
- (62-XX) Statistics
- (65-XX) Numerical analysis
- (68-XX) Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section –04 in that area}
- (70-XX) Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX}
- (74-XX) Mechanics of deformable solids
- (76-XX) Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX}
- (78-XX) Optics, electromagnetic theory {For quantum optics, see 81V80}
- (80-XX) Classical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15}
- (81-XX) Quantum theory
- (82-XX) Statistical mechanics, structure of matter
- (83-XX) Relativity and gravitational theory
- (85-XX) Astronomy and astrophysics {For celestial mechanics, see 70F15}
- (86-XX) Geophysics [See also 76U05, 76V05]
- (90-XX) Operations research, mathematical programming
- (91-XX) Game theory, economics, social and behavioral sciences
- (92-XX) Biology and other natural sciences
- (93-XX) Systems theory; control {For optimal control, see 49-XX}
- (94-XX) Information and communication, circuits
- (97-XX) Mathematics education
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