Subject Catalog

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hide hierarchy General mathematics
        00 General
        00A35 Methodology of Mathematics, Didactics
        97 Mathematics education

hide hierarchy History and Foundations
        01 History
        03 Mathematical logic and foundations
        04 Set theory
        05 Combinatorics

hide hierarchy Algebra
        06 Order, lattices, ordered algebraic structures
        08 General algebraic systems
        
11 Number theory
        12 Field theory and polynomials
        13 Commutative rings and algebras
        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 algebras

hide hierarchy Analysis
        26 Real functions
        28 Measure and integration
        30 Functions of a complex variable
        31 Potential theory
        32 Several complex variables
        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 Approximation and expansion
        42 Fourier analysis
        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

hide hierarchy Geometry
        51 Geometry
        52 Convex sets and related geometric topics
        53 Differential geometry
        54 General Topology
        55 Algebraic topology
        57 Manifolds and cell complexes
        58 Global analysis, analysis on manifolds

hide hierarchy Statistics
        60 Probability theory and stochastic processes
        62 Statistics
        65 Numerical analysis

hide hierarchy Applied Mathematics
        68 Computer science
        70 Mechanics of particles and systems
        73 Mechanics of solids [deprecated]
        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 Economics, operations research, programming, games
        91 Game theory, economics, social and behavioral sciences
        92 Biology and behavioral sciences
        93 Systems theory, control
        94 Information and communication, circuit
        97 Mathematics education

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