Mathematical Sciences Classification System

These pages have been adopted from Mathematics Subject Classification MSC2010 for use with Library Catalogue. Items from MSC2000 have been included for backward compatibility They are updated weakly, last update November 24, 2017. Electronic Library Catolog contains 57326 titles of books and journals. Mathematics Subject Classification has been assigned for 15816 books. xxbooks (+yyy) ZZ-XX means, that clicking on xxbooks you will find xx books classified with ZZ-XX, and yyy books in subsections of ZZ-XX.

Keyword Search

Search is case insensitive, you can enter a part of word or fraze Do not use any diactric marks. Examples: to find Hölder enter holder, to find Banach Algebra it suffices to enter banach alg
  • (+3169)
    General
  • 2
    (+2966)
    History and biography [See also the classification number –03 in the other sections]
  • 4
    (+1291)
    Mathematical logic and foundations
  • (+945)
    Combinatorics {For finite fields, see 11Txx}
  • (+208)
    Order, lattices, ordered algebraic structures [See also 18B35]
  • (+86)
    General algebraic systems
  • 18
    (+2023)
    Number theory
  • 6
    (+303)
    Field theory and polynomials
  • 10
    (+453)
    Commutative algebra
  • (+1651)
    Algebraic geometry
  • 5
    (+580)
    Linear and multilinear algebra; matrix theory
  • 9
    (+575)
    Associative rings and algebras {For the commutative case, see 13-XX}
  • (+410)
    Nonassociative rings and algebras
  • 4
    (+320)
    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}
  • 5
    (+132)
    K-theory [See also 16E20, 18F25]
  • 10
    (+1176)
    Group theory and generalizations
  • (+497)
    Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}
  • 1
    (+816)
    Real functions [See also 54C30]
  • (+553)
    Measure and integration {For analysis on manifolds, see 58-XX}
  • 2
    (+793)
    Functions of a complex variable {For analysis on manifolds, see 58-XX}
  • (+161)
    Potential theory {For probabilistic potential theory, see 60J45}
  • 3
    (+751)
    Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12}
  • 2
    (+249)
    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}
  • 5
    (+1254)
    Ordinary differential equations
  • (+3084)
    Partial differential equations
  • 5
    (+1548)
    Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
  • (+210)
    Difference and functional equations
  • 1
    (+58)
    Sequences, series, summability
  • (+240)
    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}
  • 3
    (+655)
    Harmonic analysis on Euclidean spaces
  • (+164)
    Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
  • 10
    (+113)
    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}
  • 4
    (+166)
    Integral equations
  • 6
    (+1681)
    Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
  • 4
    (+1754)
    Operator theory
  • 7
    (+695)
    Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
  • 6
    (+546)
    Geometry {For algebraic geometry, see 14-XX}
  • 7
    (+303)
    Convex and discrete geometry
  • 6
    (+1435)
    Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}
  • 3
    (+364)
    General topology {For the topology of manifolds of all dimensions, see 57Nxx}
  • 10
    (+403)
    Algebraic topology
  • 5
    (+815)
    Manifolds and cell complexes {For complex manifolds, see 32Qxx}
  • 3
    (+898)
    Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see  49Q15}
  • 8
    (+3023)
    Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX}
  • 5
    (+1725)
    Statistics
  • (+1624)
    Numerical analysis
  • 4
    (+1177)
    Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section –04 in that area}
  • 2
    (+401)
    Mechanics of particles and systems {For relativistic mechanics, see  83A05 and 83C10; for statistical mechanics, see  82-XX}
  • 5
    (+387)
    Mechanics of deformable solids
  • 13
    (+629)
    Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX}
  • 1
    (+109)
    Optics, electromagnetic theory {For quantum optics, see 81V80}
  • (+50)
    Classical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15}
  • 6
    (+1151)
    Quantum theory
  • 1
    (+370)
    Statistical mechanics, structure of matter
  • 2
    (+254)
    Relativity and gravitational theory
  • (+54)
    Astronomy and astrophysics {For celestial mechanics, see 70F15}
  • 1
    (+58)
    Geophysics [See also 76U05, 76V05]
  • 2
    (+711)
    Operations research, mathematical programming
  • 4
    (+1554)
    Game theory, economics, social and behavioral sciences
  • 4
    (+511)
    Biology and other natural sciences
  • (+693)
    Systems theory; control {For optimal control, see 49-XX}
  • 2
    (+722)
    Information and communication, circuits
  • 1
    (+377)
    Mathematics education

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