Mathematical Sciences Classification System - MSC 2010

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 August 30, 2010.
Electronic Library Catolog contains 39547 titles of books and journals. Mathematics Subject Classification has been assigned for 8417 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

Type a keyword or its part in the box


(+1576)00-XXGeneral
2books(+1425)01-XXHistory and biography [See also the classification number –03 in the other sections]
4books(+679)03-XXMathematical logic and foundations
5books(+390)05-XXCombinatorics {For finite fields, see 11Txx}
(+101)06-XXOrder, lattices, ordered algebraic structures [See also 18B35]
(+52)08-XXGeneral algebraic systems
16books(+971)11-XXNumber theory
6books(+167)12-XXField theory and polynomials
7books(+218)13-XXCommutative algebra
13books(+727)14-XXAlgebraic geometry
4books(+242)15-XXLinear and multilinear algebra; matrix theory
6books(+288)16-XXAssociative rings and algebras {For the commutative case, see 13-XX}
(+195)17-XXNonassociative rings and algebras
2books(+146)18-XXCategory 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}
4books(+62)19-XXK-theory [See also 16E20, 18F25]
8books(+529)20-XXGroup theory and generalizations
1books(+215)22-XXTopological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX}
1books(+345)26-XXReal functions [See also 54C30]
(+267)28-XXMeasure and integration {For analysis on manifolds, see 58-XX}
2books(+356)30-XXFunctions of a complex variable {For analysis on manifolds, see 58-XX}
(+75)31-XXPotential theory {For probabilistic potential theory, see 60J45}
3books(+349)32-XXSeveral complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12}
2books(+121)33-XXSpecial 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}
4books(+541)34-XXOrdinary differential equations
14books(+1400)35-XXPartial differential equations
3books(+803)37-XXDynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
(+104)39-XXDifference and functional equations
1books(+29)40-XXSequences, series, summability
11books(+124)41-XXApproximations 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}
2books(+305)42-XXHarmonic analysis on Euclidean spaces
8books(+73)43-XXAbstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
10books(+52)44-XXIntegral 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}
4books(+74)45-XXIntegral equations
5books(+792)46-XXFunctional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
4books(+899)47-XXOperator theory
7books(+347)49-XXCalculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]
5books(+260)51-XXGeometry {For algebraic geometry, see 14-XX}
6books(+154)52-XXConvex and discrete geometry
4books(+655)53-XXDifferential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}
3books(+163)54-XXGeneral topology {For the topology of manifolds of all dimensions, see 57Nxx}
8books(+207)55-XXAlgebraic topology
2books(+380)57-XXManifolds and cell complexes {For complex manifolds, see 32Qxx}
3books(+469)58-XXGlobal analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see  49Q15}
8books(+1280)60-XXProbability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX}
4books(+1034)62-XXStatistics
5books(+895)65-XXNumerical analysis
4books(+620)68-XXComputer science {For papers involving machine computations and programs in a specific mathematical area, see Section –04 in that area}
2books(+215)70-XXMechanics of particles and systems {For relativistic mechanics, see  83A05 and 83C10; for statistical mechanics, see  82-XX}
4books(+194)74-XXMechanics of deformable solids
10books(+322)76-XXFluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX}
(+45)78-XXOptics, electromagnetic theory {For quantum optics, see 81V80}
(+19)80-XXClassical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15}
1books(+581)81-XXQuantum theory
1books(+194)82-XXStatistical mechanics, structure of matter
(+113)83-XXRelativity and gravitational theory
(+16)85-XXAstronomy and astrophysics {For celestial mechanics, see 70F15}
1books(+28)86-XXGeophysics [See also 76U05, 76V05]
2books(+349)90-XXOperations research, mathematical programming
4books(+773)91-XXGame theory, economics, social and behavioral sciences
1books(+176)92-XXBiology and other natural sciences
2books(+356)93-XXSystems theory; control {For optimal control, see 49-XX}
2books(+371)94-XXInformation and communication, circuits
1books(+119)97-XXMathematics education

Search help
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