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Geometry
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Mathematics Subject Classification – MSC2010
05XX
Combinatorics
[For finite fields, see
11Txx
]
175961
05Axx
Enumerative combinatorics
[For enumeration in graph theory, see
05C30
]
25061
05A05
Permutations, words, matrices
5907
05A10
Factorials, binomial coefficients, combinatorial functions
[See also
11B65
,
33Cxx
]
3018
05A15
Exact enumeration problems, generating functions
[See also
33Cxx
,
33Dxx
]
9475
05A16
Asymptotic enumeration
1196
05A17
Partitions of integers
[See also
11P81
,
11P82
,
11P83
]
3609
05A18
Partitions of sets
1253
05A19
Combinatorial identities, bijective combinatorics
4146
05A20
Combinatorial inequalities
730
05A30
\(q\)calculus and related topics
[See also
33Dxx
]
1465
05A40
Umbral calculus
419
05A99
None of the above, but in this section
1195
Overview
00
General mathematics
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
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 groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
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 expansions
42
Harmonic analysis on Euclidean spaces
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
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
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
Operations research, mathematical programming
91
Game theory, economics, social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication, circuits
97
Mathematics education
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