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Mathematics Subject Classification – MSC2020
01-XX
History and biography
[See also the classification number –03 in the other sections]
59558
01Axx
History of mathematics and mathematicians
58745
01A05
General histories, source books
2175
01A07
Ethnomathematics (general)
160
01A10
History of mathematics in Paleolithic and Neolithic times
35
01A11
History of mathematics of the indigenous cultures of Africa, Asia, and Oceania
9
01A12
History of mathematics of the indigenous cultures of the Americas
76
01A15
History of mathematics of the indigenous cultures of Europe (pre-Greek, etc.)
114
01A16
History of Egyptian mathematics
189
01A17
History of Babylonian mathematics
505
01A20
History of Greek and Roman mathematics
2310
01A25
History of Chinese mathematics
823
01A27
History of Japanese mathematics
507
01A29
History of East and Southeast Asian mathematics (non-Chinese, non-Japanese)
18
01A30
History of mathematics in the Golden Age of Islam
1514
01A32
History of Indian mathematics
992
01A35
History of mathematics in Late Antiquity and medieval Europe
1329
01A40
History of mathematics in the 15th and 16th centuries, Renaissance
1705
01A45
History of mathematics in the 17th century
3419
01A50
History of mathematics in the 18th century
3254
01A55
History of mathematics in the 19th century
7440
01A60
History of mathematics in the 20th century
15292
01A61
History of mathematics in the 21st century
794
01A65
Development of contemporary mathematics
2348
01A67
Future perspectives in mathematics
221
01A70
Biographies, obituaries, personalia, bibliographies
24726
01A72
Schools of mathematics
805
01A73
History of mathematics at specific universities
748
01A74
History of mathematics at institutions and academies (non-university)
1089
01A75
Collected or selected works; reprintings or translations of classics
[See also
00B60
]
4513
01A80
Sociology (and profession) of mathematics
1483
01A85
Historiography
260
01A90
Bibliographic studies
430
01A99
None of the above, but in this section
1041
51-XX
Geometry
{For algebraic geometry, see
14-XX
; for differential geometry, see
53-XX
}
38068
51Mxx
Real and complex geometry
13086
51M04
Elementary problems in Euclidean geometries
3370
Overview
00
General and overarching topics; collections
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
Approximations 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, finance, and other social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication theory, circuits
97
Mathematics education
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