MSC2010 database
MSC2020 database
How to use the MSC
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Select a 2 digit classification
Select a Mathematics subject classification
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 (33-XX deals with the properties of functions as 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
Search Classifications
Enter a keyword, phrase or a 2-, 3-, or 5-digit classification
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53Dxx
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53-XX
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53-XX
Differential geometry {For differential topology, see
57Rxx
; for foundational questions of differentiable manifolds, see
58Axx
}
53Zxx
Applications of differential geometry to sciences and engineering
53Z05
Applications of differential geometry to physics
53Z99
None of the above, but in this section
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53Dxx
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53-XX
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