MSC-Classification
- 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 RINGS AND ALGEBRAS
- 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
- 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 topologyg)
- 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)
- 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)
- 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
- 41-XX APPROXIMATIONS AND EXPANSIONS (For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx)
- 42-XX FOURIER ANALYSIS
- 43-XX ABSTRACT HARMONIC ANALYSIS (For other analysis on topological and Lie groups, see 22Exx)
- 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)
- 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 areag 68-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 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
