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MSC Classification Scheme
(420)
00xx General
(90)
00Axx General and miscellaneous specific topics
(23)
01xx History and biography
(2)
03xx Mathematical logic and foundations
(2)
05xx Combinatorics
(6)
05Axx Enumerative combinatorics
(5)
08xx General algebraic systems
(1)
11xx Number theory
(41)
11Axx Elementary number theory
(5)
11Bxx Sequences and sets
(2)
11Exx Forms and linear algebraic groups
(1)
11Gxx Arithmetic algebraic geometry (Diophantine geometry)
(2)
11Jxx Diophantine approximation, transcendental number theory
(10)
11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms
(3)
11Mxx Zeta and $L$functions: analytic theory
(16)
11Pxx Additive number theory, partitions
(1)
11Sxx Algebraic number theory: local and $p$adic fields
(1)
11Yxx Computational number theory
(14)
12xx Field theory and polynomials
(4)
12Dxx Real and complex fields
(4)
15xx Linear and multilinear algebra; matrix theory
(3)
16xx Associative rings and algebras
(2)
17xx Nonassociative rings and algebras
(1)
18xx Category theory, homological algebra
(2)
20xx Group theory and generalizations
(25)
22xx Topological groups, Lie groups
(1)
26xx Real functions
(39)
26Axx Functions of one variable
(14)
26Bxx Functions of several variables
(13)
26Dxx Inequalities
(10)
26Exx Miscellaneous topics
(1)
28xx Measure and integration
(6)
28Axx Classical measure theory
(1)
30xx Functions of a complex variable
(18)
30Bxx Series expansion
(12)
30Cxx Geometric function theory
(7)
31xx Potential theory
(1)
31Axx Twodimensional theory
(1)
32xx Several complex variables and analytic spaces
(2)
32Bxx Local analytic geometry
(1)
33xx Special functions
(22)
33Bxx Elementary classical functions
(7)
33Cxx Hypergeometric functions
(1)
33Exx Other special functions
(6)
34xx Ordinary differential equations
(3)
34Axx General theory
(1)
34Bxx Boundary value problems
(2)
34Cxx Qualitative theory
(1)
34Dxx Stability theory
(1)
35xx Partial differential equations
(2)
35Pxx Spectral theory and eigenvalue problems for partial differential operators
(1)
35Rxx Miscellaneous topics involving partial differential equations
(1)
37xx Dynamical systems and ergodic theory
(8)
37Bxx Topological dynamics
(1)
39xx Finite differences and functional equations
(2)
39Bxx Functional equations and inequalities
(1)
40xx Sequences, series, summability
(15)
40Axx Convergence and divergence of infinite limiting processes
(5)
40Bxx Multiple sequences and series
(9)
40Gxx Special methods of summability
(1)
41xx Approximations and expansions
(29)
41Axx Approximations and expansions
(25)
42xx Fourier analysis
(11)
42Axx Fourier analysis in one variable
(8)
42Cxx Nontrigonometric Fourier series
(1)
46xx Functional analysis
(74)
46Axx Topological linear spaces and related structures
(13)
46Bxx Normed linear spaces and Banach spaces; Banach lattices
(29)
46Cxx Inner product spaces and their generalizations, Hilbert spaces
(9)
46Gxx Measures, integration, derivative, holomorphy (all involving infinitedimensional spaces)
(10)
46Nxx Miscellaneous applications of functional analysis
(20)
46Txx Nonlinear functional analysis
(14)
47xx Operator theory
(47)
47Bxx Special classes of linear operators
(7)
47Hxx Nonlinear operators and their properties
(42)
47Jxx Equations and inequalities involving nonlinear operators
(1)
47Nxx Miscellaneous applications of operator theory
(8)
49xx Calculus of variations and optimal control; optimization
(84)
49Jxx Existence theories
(55)
49Kxx Necessary conditions and sufficient conditions for optimality
(10)
49LXX HamiltonJacobi theories, including dynamic programming
(2)
49Mxx Methods of successive approximations
(9)
49Nxx Miscellaneous topics
(5)
52xx Convex and discrete geometry
(30)
52Axx General convexity
(30)
54xx General topology
(5)
54Exx Spaces with richer structures
(4)
57xx Manifolds and cell complexes
(2)
58xx Global analysis, analysis on manifolds
(17)
58Cxx Calculus on manifolds; nonlinear operators
(16)
58Kxx Theory of singularities and catastrophe theory
(1)
60xx Probability theory and stochastic processes
(3)
60Exx Distribution theory
(2)
62xx Statistics
(4)
62Exx Distribution theory
(1)
65xx Numerical analysis
(33)
65Fxx Numerical linear algebra
(6)
65Jxx Numerical analysis in abstract spaces
(8)
65Kxx Mathematical programming, optimization and variational techniques
(13)
65Lxx Ordinary differential equations
(1)
68xx Computer science
(18)
68Qxx Theory of computing
(4)
68Rxx Discrete mathematics in relation to computer science
(1)
68Uxx Computing methodologies and applications
(6)
70xx Mechanics of particles and systems
(3)
70Kxx Nonlinear dynamics
(1)
78xx Optics, electromagnetic theory
(3)
78Axx General
(3)
81xx Quantum Theory
(5)
82xx Statistical mechanics, structure of matter
(4)
83xx Relativity and gravitational theory
(2)
84xx Astronomy and astrophysics
(5)
90xx Economics, operations research, programming, games
(38)
90Cxx Mathematical programming
(36)
91xx Game theory, economics, social and behavioral sciences
(1)
91Cxx Social and behavioral sciences: general topics
(1)
92xx Biology and other natural sciences, behavioral sciences
(4)
92Cxx Physiological, cellular and medical topics
(4)
93xx Systems theory; control
(1)
93Exx Stochastic systems and control
(1)
94xx Information and communication, circuits
(3)
94Axx Communication, information
(3)
97xx Mathematics education
(8)
97Cxx Psychology of and research in mathematics education
(3)