68 Geometry49Rxx Variational methods for eigenvalues ofoperators [See also 47A75]49R05 Variational methods for eigenvalues ofoperators [See also 47A75] (should alsobe assigned at least one other classificationnumber in Section 49)49R99 None of the above, but in this section49Sxx49S0549S99Variational principles of physicsVariational principles of physics (shouldalso be assigned at least one other classificationnumber in section 49)None of the above, but in this section51-XX Geometry (For algebraic geometry,see 14-XX)51-00 General reference works (handbooks,dictionaries, bibliographies, etc.)51-01 Instructional exposition(textbooks, tutorial papers, etc.)51-02 Research exposition (monographs,survey articles)51-03 Historical (must also be assigned at leastone classification number from Section01)51-04 Explicit machine computation and programs(not the theory of computation orprogramming)51-06 Proceedings, conferences, collections,etc.51Axx Linear incidence geometry51A05 General theory and projective geometries51A10 Homomorphism, automorphism anddualities51A15 Structures with parallelism51A20 Configuration theorems51A25 Algebraization [See also 12Kxx, 20N05]51A30 Desarguesian and Pappian geometries51A35 Non-Desarguesian affine and projectiveplanes51A40 Translation planes and spreads51A45 Incidence structures imbeddable intoprojective geometries51A50 Polar geometry, symplectic spaces, orthogonalspaces51A99 None of the above, but in this section51Bxx Nonlinear incidence geometry51B05 General theory51B10 Möbius geometries51B15 Laguerre geometries51B20 Minkowski geometries51B25 Lie geometries51B99 None of the above, but in this section51Cxx Ring geometry(Hjelmslev, Barbilian, etc.)51C05 Ring geometry(Hjelmslev, Barbilian, etc.)51C99 None of the above, but in this section51Dxx Geometric closure systems51D05 Abstract (Maeda) geometries51D10 Abstract geometries withexchange axiom51D15 Abstract geometries with parallelism51D20 Combinatorial geometries[See also 05B25, 05B35]51D25 Lattices of subspaces [See also 05B35]51D30 Continuous geometries and related topics[See also 06Cxx]51D99 None of the above, but in this section51Exx Finite geometry and special incidencestructures51E05 General block designs [See also 05B05]51E10 Steiner systems51E12 Generalized quadrangles, generalizedpolygons51E14 Finite partial geometries (general), nets,partial spreads51E15 Affine and projective planes51E20 Combinatorial structures in finite projectivespaces [See also 05Bxx]51E21 Blocking sets, ovals, k-arcs51E22 Linear codes and caps in Galois spaces[See also 94B05]51E23 Spreads and packing problems51E24 Buildings and the geometry of diagrams51E25 Other finite nonlinear geometries51E26 Other finite linear geometries51E30 Other finite incidence structures[See also 05B30]51E99 None of the above, but in this section
Geometry 6951Fxx Metric geometry51F05 Absolute planes51F10 Absolute spaces51F15 Reflection groups, reflection geometries[See also 20H10, 20H15; for Coxetergroups, see 20F55]51F20 Congruence and orthogonality[See also 20H05]51F25 Orthogonal and unitary groups[See also 20H05]51F99 None of the above, but in this section51Gxx Ordered geometries(ordered incidence structures, etc.)51G05 Ordered geometries(ordered incidence structures, etc.)51G99 None of the above, but in this section51Hxx Topological geometry51H05 General theory51H10 Topological linear incidence structures51H15 Topological nonlinear incidence structures51H20 Topological geometries on manifolds[See also 57-XX]51H25 Geometries with differentiable structure[See also 53Cxx, 53C70]51H30 Geometries with algebraic manifoldstructure [See also 14-XX]51H99 None of the above, but in this section51Jxx51J0551J1051J1551J2051J99Incidence groupsGeneral theoryProjective incidence groupsKinematic spacesRepresentation by near-fields and nearalgebras[See also 12K05, 16Y30]None of the above, but in this section51Kxx Distance geometry51K05 General theory51K10 Synthetic differential geometry51K99 None of the above, but in this section51Lxx51L0551L1051L1551L2051L99Geometric order structures[See also 53C75]Geometry of orders of nondifferentiablecurvesDirectly differentiable curvesn-vertex theorems via direct methodsGeometry of orders of surfacesNone of the above, but in this section51Mxx Real and complex geometry51M04 Elementary problems in Euclidean geometries51M05 Euclidean geometries (general) and generalizations51M09 Elementary problems in hyperbolic andelliptic geometries51M10 Hyperbolic and elliptic geometries (general)and generalizations51M15 Geometric constructions51M16 Inequalities and extremum problems(For convex problems, see 52A40)51M20 Polyhedra and polytopes; regular figures,division of spaces [See also 51F15]51M25 Length, area and volume[See also 26B15]51M30 Line geometries and their generalizations[See also 53A25]51M35 Synthetic treatment of fundamentalmanifolds in projective geometries(Grassmannians, Veronesians and theirgeneralizations) [See also 14M15]51M99 None of the above, but in this section51Nxx Analytic and descriptive geometry51N05 Descriptive geometry[See also 65D17, 68U07]51N10 Affine analytic geometry51N15 Projective analytic geometry51N20 Euclidean analytic geometry51N25 Analytic geometry with other transformationgroups51N30 Geometry of classical groups[See also 20Gxx, 14L35]51N35 Questions of classical algebraic geometry[See also 14Nxx]51N99 None of the above, but in this section
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ZentralblattMATHMathematics Subject
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Mathematics Subject Classification
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2 Mathematical logic and foundation
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4 Combinatorics03E5703E6003E6503E70
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6 Order, lattices, ordered algebrai
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8 Number theory11-XX Number theory1
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10 Number theory11G15 Complex multi
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12 Number theory11P8311P8411P99Part
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14 Commutative algebra12J1512J1712J
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16 Algebraic geometry13N05 Modules
- Page 22 and 23: 18 Algebraic geometry14H40 Jacobian
- Page 24 and 25: 20 Associative rings and algebras15
- Page 26 and 27: 22 Associative rings and algebras16
- Page 28 and 29: 24 Category theory; homological alg
- Page 30 and 31: 26 K-theory19-XX K-theory [See also
- Page 32 and 33: 28 Group theory and generalizations
- Page 34 and 35: 30 Topological groups, Lie groups20
- Page 36 and 37: 32 Real functions26Axx Functions of
- Page 38 and 39: 34 Functions of a complex variable2
- Page 40 and 41: 36 Several complex variables and an
- Page 42 and 43: 38 Several complex variables and an
- Page 44 and 45: 40 Special functions32Txx Pseudocon
- Page 46 and 47: 42 Ordinary differential equations3
- Page 48 and 49: 44 Partial differential equations34
- Page 50 and 51: 46 Partial differential equations35
- Page 52 and 53: 48 Partial differential equations35
- Page 54 and 55: 50 Dynamical systems and ergodic th
- Page 56 and 57: 52 Dynamical systems and ergodic th
- Page 58 and 59: 54 Sequences, series, summability39
- Page 60 and 61: 56 Harmonic analysis on Euclidean s
- Page 62 and 63: 58 Integral equations44Axx Integral
- Page 64 and 65: 60 Functional analysis46A32 Spaces
- Page 66 and 67: 62 Functional analysis46Kxx Topolog
- Page 68 and 69: 64 Operator theory47A60 Functional
- Page 70 and 71: 66 Calculus of variations and optim
- Page 74 and 75: 70 Convex and discrete geometry51Px
- Page 76 and 77: 72 General topology53C21 Methods of
- Page 78 and 79: 74 Algebraic topology54E2054E2554E3
- Page 80 and 81: 76 Manifolds and cell complexes55R5
- Page 82 and 83: 78 Global analysis, analysis on man
- Page 84 and 85: 80 Global analysis, analysis on man
- Page 86 and 87: 82 Probability theory and stochasti
- Page 88 and 89: 84 Statistics62H12 Estimation62H15
- Page 90 and 91: 86 Numerical analysis65F5065F6065F9
- Page 92 and 93: 88 Computer science68-04 Explicit m
- Page 94 and 95: 90 Mechanics of particles and syste
- Page 96 and 97: 92 Mechanics of deformable solids74
- Page 98 and 99: 94 Fluid mechanics76-04 Explicit ma
- Page 100 and 101: 96 Optics, electromagnetic theory76
- Page 102 and 103: 98 Quantum theory81P40 Quantum cohe
- Page 104 and 105: 100 Relativity and gravitational th
- Page 106 and 107: 102 Operations research, mathematic
- Page 108 and 109: 104 Game theory, economics, social
- Page 110 and 111: 106 Systems theory; control92Fxx92F
- Page 112 and 113: 108 Mathematics education94B7594B99
- Page 114: 110 Mathematics education97P4097P50