Mathematics - Subject Classification System      שיטת המיון במתמטיקה


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Mathematics classification - Alphabetic list of keywords

Computer Science classification
Computer Science classification - Alphabetic list of keywords

The Mathematics classification numbers run between 00 and 109. For example: The books on group theory are classified as 23.

Other classification systems:

Finding the shelf in the library: The map of the main reading hall can help finding the subject's location in the library.

Please choose one of the following ranges:
00-09    10-18    20-29    30-39    40-49    50-59    60-68    70-79    80-88    90-96    100-109

Handbooks and Tables

Hd.B. 00 Mathematical Software      (Mathematica ; Maple ...)
    See also: 217 Program listings, Documentation, Software manuals (MATLAB)
Hd.B. 01 Encyclopedias (Mathematics)
Hd.B. 05 Mathematicians - Directories
Hd.B. 06 Teaching & research
Hd.B. 08 Dictionaries, Handbooks
Hd.B. 08.1 Dictionaries (Mathematics)
Hd.B. 09 Mathematical writing
Hd.B. 09.1 (see 237.6) Mathematical writing - Computerized typesetting      (TeX ; LaTeX ; PostScript ...)
Hd.B. 52-109 Handbooks in various subjects
TAB. 01-109 Tables in various subjects

01 Mathematics general. Congresses, Special collections

02 Collected works, letters
03 Popular expositions
04 History of mathematics, History of natural sciences
05 Biography
06 Teaching
    06.1 School textbooks
    06.2 Engineering, college and undergraduate textbooks
07 Collections of problems, Recreations
09 Bibliographies, Catalogs, Printing

10 Logic and Foundations

11 Traditional Logic, Modal, Temporal, Dynamical and other logics
12 Mathematical Logic, Symbolic Logic, Semantics, Model theory, Nonstandard Analysis
13 Set theory, Foundations of Arithmetics, Algebra and Analysis
14 Metamathematics, Theory of proof, Axiomatics
15 Philosophy of Mathematics, Philosophy of Sciences, Foundations of Mathematics
16 Computable functions (Recursive function theory), Recursive arithmetics, Computability
17 Decision problems
18 Automata (see also 252.2), Mathematical machines and languages, Artificial intelligence (see also 236).      See also: Computer Science - Subject Classification System

20 Algebra and Number theory

21 Elementary and Classical Algebra, Theory of Invariants
22 Linear Algebra, Matrices Determinants
23 Group theory and Group representations, Semigroups    (See also: 44)
24 Ring and Algebras, Local rings, Commutative rings, Lie algebras
25.1 Algebraic Structures, Partially Ordered Sets, Lattices, Relations, Boolean Rings and Boolean Algebras, Categorical Algebras
25.2 Homological Algebra, Categories, Algebraic K-Theory
26 Field and Galois Theory of Equations
Number theory
27 Elementary Number Theory, Diophantine equations    Arithmetic additive number theory
28 Analytic number theory    Geometry of numbers    Continued fractions
29 Algebraic number theory    Diophantine analysis    Transcendental numbers

30 Geometry

31 Foundations    Synthetic geometry    Non-Euclidean geometry    Finite geometries    Hyperbolic geometry
32 Trigonometry    Geodesy    Spherical geometry    Cartography
33 Analytic geometry    n-dimensional Euclidean geometry
34 Algebraic geometry    Algebraic groups    Varieties    Differential Forms (see 79)    Quantum Groups
35 Projective geometry    Descriptive geometry
36 Differential geometry    Riemann spaces    Super-geometry    Symplectic geometry
37 Vector and tensor analysis    Tensorial sets    Quaternions    Spinors    Clifford algebras
38 Integral geometry
39 Convex sets    Distance geometry

40 Topology

41 Point Set Topology, General Topological Spaces
42 Topological Analysis, Theory of Functions on a Topological Space
43 Algebraic and Combinatorial Topology, Homology, Co-Homology, Homotopy, Co-Homotopy, Fibre Spaces, Differential Topology
44 Topological Groups, Continuous Groups, Lie Groups, Cont. Transformations Groups, Automorphic Representations
45 Manifolds, Bundles, Differential Topology, Differential Manifolds, Catastrophe, Low dimensional topology
46 Graphs, Weaves, Design Theory
47 Dimension Theory
48 Knots
49 Dynamical Systems, Topological Dynamics, Ergodic Theory, Chaos, Complex Systems

50 Real Analysis

51 Theory of Functions of a Real Variable
52 Calculus
53 Infinite Series and Sequences, Summability, Improper Integrals, Asymptotic Behavior
54 Trigonometry, Orthogonal and Eigenvalue Expansion, Fourier Analysis
55 Harmonic Analysis, Almost Periodic Functions, Banach Algebras, C* Algebras, Wavelets
56 Linear Spaces, Functional Analysis, Hilbert and Banach Spaces
57 Integration and Measure Theory, Theory of Distributions
58 Inequalities
59 Asymptotic Expansions, Functional Analysis

60 Complex Analysis

61 Theory of Function of One Complex Variable, Analytical and Pseudo-Analytical Functions
62 Entire Functions, Meromorphic Functions
63 Algebraic Modular, elliptic, automorphic, Multiperiodic Functions, Abelian Functions, Kleinian Groups
64 Power and Dirichelet Series, Non-Harmonic Fourier Series
65 Conformal Mapping, Riemann Surfaces, Geometric Theory of Functions
66 Polynomial Approximation and Interpolation
67 Functions of Several Complex Variables
68 Simple Functions, Multivalent Functions

70 Differential and Integral Equations

71 Ordinary Differential Equations,Bifurcation, Chaos, ODE Aspects of Dynamical Systems
72 Partial Differential Equations, Boundary Problems
73 Non-linear Differential Equations
74 Potential Theory, Harmonic Functions, Polyharmonic Functions
75 Integral Equations
76 Integral Transforms, Operational Methods, Operational Calculus (Heaviside)
77 Calculus of Variations, Minimal surfaces
78 Special Functions, Functional Equations, Hypergeometric Series, Bessel Functions
79 Differential Algebra, Algebraic Differential Equations

80 Probability and Statistics

81.1 Probability, Hazards
81.2 Combinatorial Analysis
82 Stochastic Processes, Markov Chains, Theory of Queues, Stochastic Geometry
83 Statistics, Design of Experiments, Errors, Observations
84 Statistical Decision Theory
85 Information Theory, Coding, Systems and Control Theory
86 Operations Research, Mathematical Optimization Techniques, Optimal Control
87 Game Theory
88 Actuarial Mathematics

90 Numerical And Graphical Method, Numerical Analysis

91 Interpolation and Approximation, Numerical Solutions of Algebraic-Differential & Integral Equations, Numerical Linear Algebra, Finite Element Method
92 Difference Equations, Calculus of Finite Differences, Difference-Differential Equations
93 Linear Programming, Non-Linear Programming
94 Nomography and Curve Fitting
95 Calculation and Integration Devices
96 Nonlinear Computation, Functional Equations
97 Computational Differential Equations

100 Applications

Physics & Chemistry
101 Mechanics, Ballistics, Astronomy, Calendar Geophysics, Engineering
102 Theory of Continua, Elasticity, Oscillations, Hydrodynamics, Waves, Acoustics
103 Electrodynamics, Electricity and Magnetics, Relativity, Optics
104 Atomic physics, Quantum field theory, Elementary particles, Scattering theory, Inverse scattering
105 Other Topics in Theoretical Physics, Crystallography, Chemistry
106 Thermodynamics, Statistical Mechanics, Analytical Theory of Heat
107 Biology : Genetics, Biophysics, Life Sciences, Medicine
108 Economics : Finance, Demography, Sociometry
109 Cybernetics, Control Systems, Circuit Theory, Deterministics and Probabilistics, Automata, Psychology, Algebraic Linguistics

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Last updated: Nov. 5th, 2009