2 Mathematical logic and foundations01A70 Biographies, obituaries, personalia,bibliographies01A72 Schools of mathematics01A73 Universities01A74 Other institutions and academies01A75 Collected or selected works;reprintings or translations of classics[See also 00B60]01A80 Sociology (and profession) ofmathematics01A85 Historiography01A90 Bibliographic studies01A99 Miscellaneous topics03-XX Mathematical logic andfoundations03-00 General reference works (handbooks,dictionaries, bibliographies, etc.)03-01 Instructional exposition(textbooks, tutorial papers, etc.)03-02 Research exposition (monographs,survey articles)03-03 Historical (must also be assigned at leastone classification number from Section01)03-04 Explicit machine computation and programs(not the theory of computation orprogramming)03-06 Proceedings, conferences, collections,etc.03Axx Philosophical aspects of logicand foundations03A05 Philosophical and critical (For philosophyof mathematics, see also 00A30)03A10 Logic in the philosophy of science03A99 None of the above, but in this section03Bxx General logic03B05 Classical propositional logic03B10 Classical first-order logic03B15 Higher-order logic and type theory03B20 Subsystems of classical logic(including intuitionistic logic)03B22 Abstract deductive systems03B25 Decidability of theories and sets of sentences[See also 11U05, 12L05, 20F10]03B30 Foundations of classical theories(including reverse mathematics) [Seealso 03F35]03B35 Mechanization of proofs and logical operations[See also 68T15]03B40 Combinatory logic and lambda-calculus[See also 68N18]03B42 Logics of knowledge and belief(including belief change)03B44 Temporal logic03B45 Modal logic (including the logic ofnorms) (For knowledge and belief, see03B42; for temporal logic, see 03B44; forprovability logic, see also 03F45)03B47 Substructural logics (including relevance,entailment, linear logic, Lambekcalculus, BCK and BCI logics) (For prooftheoreticaspects see 03F52)03B48 Probability and inductive logic [See also60A05]03B50 Many-valued logic03B52 Fuzzy logic; logic of vagueness[See also 68T27, 68T37, 94D05]03B53 Paraconsistent logics03B55 Intermediate logics03B60 Other nonclassical logic03B62 Combined logics03B65 Logic of natural languages[See also 68T50, 91F20]03B70 Logic in computer science[See also 68-XX]03B80 Other applications of logic03B99 None of the above, but in this section03Cxx Model theory03C05 Equational classes, universal algebra[See also 08Axx, 08Bxx, 18C05]03C07 Basic properties of first-order languagesand structures03C10 Quantifier elimination, model completenessandrelated topics03C13 Finite structures [See also 68Q15, 68Q19]03C15 Denumerable structures03C20 Ultraproducts and related constructions03C25 Model-theoretic forcing03C30 Other model constructions03C35 Categoricity and completeness of theories03C40 Interpolation, preservation, definability03C45 Classification theory, stability and relatedconcepts [See also 03C48]
Mathematical logic and foundations 303C48 Abstract elementary classes and relatedtopics [See also 03C45]03C50 Models with special properties (saturated,rigid, etc.)03C52 Properties of classes of models03C55 Set-theoretic model theory03C57 Effective and recursion-theoretic modeltheory [See also 03D45]03C60 Model-theoretic algebra [See also 08C10,12Lxx, 13L05]03C62 Models of arithmetic and set theory[See also 03Hxx]03C64 Model theory of ordered structures;o-minimality03C65 Models of other mathematical theories03C68 Other classical first-order model theory03C70 Logic on admissible sets03C75 Other infinitary logic03C80 Logic with extra quantifiers and operators[See also 03B42, 03B44, 03B45,03B48]03C85 Second- and higher-order model theory03C90 Nonclassical models (Boolean-valued,sheaf, etc.)03C95 Abstract model theory03C98 Applications of model theory[See also 03C60]03C99 None of the above, but in this section03Dxx Computability and recursion theory03D03 Thue and Post systems, etc.03D05 Automata and formal grammars in connectionwith logical questions[See also 68Q45, 68Q70, 68R15]03D10 Turing machines and related notions[See also 68Q05]03D15 Complexity of computation (includingimplicit computational complexity)[See also 68Q15, 68Q17]03D20 Recursive functions and relations,subrecursive hierarchies03D25 Recursively (computably) enumerablesets and degrees03D28 Other Turing degree structures03D30 Other degrees and reducibilities03D32 Algorithmic randomness and dimension[See also 68Q30]03D35 Undecidability and degrees of sets ofsentences03D40 Word problems, etc.[See also 06B25, 08A50, 20F10, 68R15]03D45 Theory of numerations, effectively presentedstructures [See also 03C57; for intuitionisticand similar approaches see03F55]03D50 Recursive equivalence types of sets andstructures, isols03D55 Hierarchies03D60 Computability and recursion theory onordinals, admissible sets, etc.03D65 Higher-type and set recursion theory03D70 Inductive definability03D75 Abstract and axiomatic computabilityand recursion theory03D78 Computation over the reals(For constructive aspects, see 03F60)03D80 Applications of computability and recursiontheory03D99 None of the above, but in this section03Exx Set theory03E02 Partition relations03E04 Ordered sets and their cofinalities;pcf theory03E05 Other combinatorial set theory03E10 Ordinal and cardinal numbers03E15 Descriptive set theory [See also 28A05,54H05]03E17 Cardinal characteristics of the continuum03E20 Other classical set theory(including functions, relations, and setalgebra)03E25 Axiom of choice and related propositions03E30 Axiomatics of classical set theory and itsfragments03E35 Consistency and independence results03E40 Other aspects of forcing and Booleanvaluedmodels03E45 Inner models, including constructibility,ordinal definability, and core models03E47 Other notions of set-theoretic definability03E50 Continuum hypothesis and Martin’s axiom[See also 03E57]03E55 Large cardinals
- Page 1 and 2: ZentralblattMATHMathematics Subject
- Page 3: Mathematics Subject Classification
- Page 8 and 9: 4 Combinatorics03E5703E6003E6503E70
- Page 10 and 11: 6 Order, lattices, ordered algebrai
- Page 12 and 13: 8 Number theory11-XX Number theory1
- Page 14 and 15: 10 Number theory11G15 Complex multi
- Page 16 and 17: 12 Number theory11P8311P8411P99Part
- Page 18 and 19: 14 Commutative algebra12J1512J1712J
- Page 20 and 21: 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
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52 Dynamical systems and ergodic th
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54 Sequences, series, summability39
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56 Harmonic analysis on Euclidean s
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58 Integral equations44Axx Integral
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60 Functional analysis46A32 Spaces
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62 Functional analysis46Kxx Topolog
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64 Operator theory47A60 Functional
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66 Calculus of variations and optim
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68 Geometry49Rxx Variational method
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70 Convex and discrete geometry51Px
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72 General topology53C21 Methods of
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74 Algebraic topology54E2054E2554E3
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76 Manifolds and cell complexes55R5
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78 Global analysis, analysis on man
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80 Global analysis, analysis on man
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82 Probability theory and stochasti
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84 Statistics62H12 Estimation62H15
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86 Numerical analysis65F5065F6065F9
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88 Computer science68-04 Explicit m
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90 Mechanics of particles and syste
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92 Mechanics of deformable solids74
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94 Fluid mechanics76-04 Explicit ma
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96 Optics, electromagnetic theory76
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98 Quantum theory81P40 Quantum cohe
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100 Relativity and gravitational th
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102 Operations research, mathematic
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104 Game theory, economics, social
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106 Systems theory; control92Fxx92F
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108 Mathematics education94B7594B99
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110 Mathematics education97P4097P50