PURE MATHEMATICS |
00 General |
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01 History |
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03 Mathematical logic and foundations |
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04 Set theory |
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05 Combinatorics |
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06 Order, lattices, ordered algebraic structures |
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11 Number theory |
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12 Field theory and polynomials |
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13 Commutative rings and algebras |
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14 Algebraic Geometry |
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15 Linear and multilinear algebra, matrix theory |
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16 Associative rings and algebras |
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17 Nonassociative rings and algebras |
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18 Category theory, homological algebra |
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19 K-theory |
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20 Group theory and generalizations |
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22 Topological groups, Lie algebras |
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26 Real functions |
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28 Measure and integration |
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30 Functions of a complex variable |
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32 Several complex variables |
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34 Ordinary differential equations |
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35 Partial differential equations |
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39 Finite differences and functional equations |
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40 Sequences, series, summability |
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41 Approximation and expansion |
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42 Fourier analysis |
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43 Abstract harmonic analysis |
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45 Integral equations |
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46 Functional analysis |
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47 Operator theory |
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49 Calculus of variations and optimal control, optimization |
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51 Geometry |
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52 Convex sets and related geometric topics |
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53 Differential geometry |
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54 General Topology |
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55 Algebraic topology |
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57 Manifolds and cell complexes |
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58 Global analysis, analysis on manifolds |
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60 Probability theory and stochastic processes |
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62 Statistics |
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65 Numerical analysis |
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68 Computer science |
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70 Mechanics of particles and systems |
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73 Mechanics of solids |
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76 Fluid mechanics |
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78 Optics, electromagnetic theory |
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80 Classical thermodynamics, heat transfer |
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81 Quantum theory |
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82 Statistical mechanics, structure of matter |
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83 Relativity and gravitational theory |
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85 Astronomy and astrophysics |
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86 Geophysics |
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90 Economics, operations research, programming, games |
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92 Biology and behavioral sciences |
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93 Systems theory, control |
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94 Information and communication, circuit |
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