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Mathematik-Klassifikation

Mit Hilfe dieser Klassifikation der Amerikanischen Mathematischen Gesellschaft (Mathematics Subjects Classification, Version 2010) können Sie die Literatur der Universitätsbibliothek im Fach Mathematik und der Fakultät für Mathematik unter sachlichen Gesichtspunkten recherchieren.

General Mathematics

AMS: 00    GENERAL

History and Foundations

AMS: 01    HISTORY AND BIOGRAPHY
AMS: 03    MATHEMATICAL LOGIC AND FOUNDATIONS
AMS: 05    COMBINATORICS

Algebra

AMS: 06    ORDER, LATTICES, ORDERED ALGEBRAIC STUCTURES
AMS: 08    GENERAL MATHEMATICAL SYSTEMS
AMS: 11    NUMBER THEORY
AMS: 12    FIELD THEORY AND POLYNOMIALS
AMS: 13    COMMUTATIVE RINGS AND ALGEBRAS
AMS: 14    ALGEBRAIC GEOMETRY
AMS: 15    LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY
AMS: 16    ASSOCIATIVE RINGS AND ALGEBRAS
AMS: 17    NONASSOCIATIVE RINGS AND ALGEBRAS
AMS: 18    CATEGORY THEORY, HOMOLOGICAL ALGEBRA
AMS: 19    K-THEORY
AMS: 20    GROUP THEORY AND GENERALIZATIONS
AMS: 22    TOPOLOGICAL GROUPS, LIE GROUPS

Analysis

AMS: 26    REAL FUNCTIONS
AMS: 28    MEASURE AND INTEGRATION
AMS: 30    FUNCTIONS OF A COMPLEX VARIABLE
AMS: 31    POTENTIAL THEORY
AMS: 32    SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES
AMS: 33    SPECIAL FUNCTIONS
AMS: 34    ORDINARY DIFFERENTIAL EQUATIONS
AMS: 35    PARTIAL DIFFERENTIAL EQUATIONS
AMS: 37    DYNAMICAL SYSTEMS AND ERGODIC THEORY
AMS: 39    FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS
AMS: 40    SEQUENCES, SERIES, SUMMABILITY
AMS: 41    APPROXIMATIONS AND EXPANSIONS
AMS: 42    FOURIER ANALYSIS
AMS: 43    ABSTRACT HARMONIC ANALYSIS
AMS: 44    INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS
AMS: 45    INTEGRAL EQUATIONS
AMS: 46    FUNCTIONAL ANALYSIS
AMS: 47    OPERATOR THEORY
AMS: 49    CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION

Geometry

AMS: 51    GEOMETRY
AMS: 52    CONVEX AND DISCRETE GEOMETRY
AMS: 53    DIFFERENTIAL GEOMETRY
AMS: 54    GENERAL TOPOLOGY
AMS: 55    ALGEBRAIC TOPOLOGY
AMS: 57    MANIFOLDS AND CELL COMPLEXES
AMS: 58    GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS

Statistics and Numerical Methods

AMS: 60    PROBABILITY THEORY AND STOCHASTIC PROCESSES
AMS: 62    STATISTICS
AMS: 65    NUMERICAL ANALYSIS

Applied Mathematics

AMS: 68    COMPUTER SCIENCE
AMS: 70    MECHANICS OF PARTICLES AND SYSTEMS
AMS: 74    MECHANICS OF DEFORMABLE SOLIDS
AMS: 76    FLUID MECHANICS
AMS: 78    OPTICS, ELECTROMAGNETIC THEORY
AMS: 80    CLASSICAL THERMODYNAMICS, HEAT TRANSFER
AMS: 81    QUANTUM THEORY
AMS: 82    STATISTICAL MECHANICS, STRUCTURE OF MATTER
AMS: 83    RELATIVITY AND GRAVITATIONAL THEORY
AMS: 85    ASTRONOMY AND ASTROPHYSICS
AMS: 86    GEOPHYSICS
AMS: 90    OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING
AMS: 91    GAME THEORY, ECONOMICS, SOCIAL ANS BEHAVIORAL SCIENCES
AMS: 92    BIOLOGY AND OTHER NATURAL SCIENCES
AMS: 93    SYSTEMS THEORY; CONTROL
AMS: 94    INFORMATION AND COMMUNICATION, CIRCUITS
AMS: 97    MATHEMATICS EDUCATION

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GENERAL

AMS: 00       All of this section
AMS: 00-XX    Not classified at a more specific level

• AMS: 00-01    Instructional exposition
• AMS: 00-02    Research exposition

• AMS: 00A*     General and miscellaneous specific topics
• AMS: 00B*     Conference proceedings and collections of papers

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HISTORY AND BIOGRAPHY

AMS: 01       All of this section
AMS: 01-XX    Not classified at a more specific level

• AMS: 01-00    General reference works
• AMS: 01-01    Instructional exposition
• AMS: 01-02    Research exposition
• AMS: 01-06    Proceedings, conferences, collections, etc.
• AMS: 01-08    Computational methods

• AMS: 01A*     History of mathematics and mathematicians

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MATHEMATICAL LOGIC AND FOUNDATIONS

AMS: 03       All of this section
AMS: 03-XX    Not classified at a more specific level

• AMS: 03-00    General reference works
• AMS: 03-01    Instructional exposition
• AMS: 03-02    Research exposition
• AMS: 03-03    Historical
• AMS: 03-04    Explicit machine computation and programs
• AMS: 03-06    Proceedings, conferences, collections, etc.

• AMS: 03A*     Philosophical aspects of logic and foundations
• AMS: 03B*     General logic
• AMS: 03C*     Model theory
• AMS: 03D*     Computability and recursion theory
• AMS: 03E*     Set theory
• AMS: 03F*     Proof theory and constructive mathematics
• AMS: 03G*     Algebraic logic
• AMS: 03H*     Nonstandard models

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COMBINATORICS

AMS: 05       All of this section
AMS: 05-XX    Not classified at a more specific level

• AMS: 05-00    General reference works
• AMS: 05-01    Instructional exposition
• AMS: 05-02    Research exposition
• AMS: 05-03    Historical
• AMS: 05-04    Explicit machine computation and programs
• AMS: 05-06    Proceedings, conferences, collections, etc.

• AMS: 05A*     Enumerative combinatorics
• AMS: 05B*     Designs and configurations
• AMS: 05C*     Graph theory
• AMS: 05D*     Extremal combinatorics
• AMS: 05E*     Algebraic combinatorics

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ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES

AMS: 06       All of this section
AMS: 06-XX    Not classified at a more specific level

• AMS: 06-00    General reference works
• AMS: 06-01    Instructional exposition
• AMS: 06-02    Research exposition
• AMS: 06-03    Historical
• AMS: 06-04    Explicit machine computation and programs
• AMS: 06-06    Proceedings, conferences, collections, etc.

• AMS: 06A*     Ordered sets
• AMS: 06B*     Lattices
• AMS: 06C*     Modular lattices, complemented lattices
• AMS: 06D*     Distributive lattices
• AMS: 06E*     Boolean algebras (Boolean rings)
• AMS: 06F*     Ordered structures

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GENERAL ALGEBRAIC SYSTEMS

AMS: 08       All of this section
AMS: 08-XX    Not classified at a more specific level

• AMS: 08-00    General reference works
• AMS: 08-01    Instructional exposition
• AMS: 08-02    Research exposition
• AMS: 08-03    Historical
• AMS: 08-04    Explicit machine computation and programs
• AMS: 08-06    Proceedings, conferences, collections, etc.

• AMS: 08A*     Algebraic structures
• AMS: 08B*     Varieties
• AMS: 08C*     Other classes of algebras

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NUMBER THEORY

AMS: 11       All of this section
AMS: 11-XX    Not classified at a more specific level

• AMS: 11-00    General reference works
• AMS: 11-01    Instructional exposition
• AMS: 11-02    Research exposition
• AMS: 11-03    Historical
• AMS: 11-04    Explicit machine computation and programs
• AMS: 11-06    Proceedings, conferences, collections, etc.

• AMS: 11A*     Elementary number theory
• AMS: 11B*     Sequences and sets
• AMS: 11C*     Polynomials and matrices
• AMS: 11D*     Diophantine equations
• AMS: 11E*     Forms and linear algebraic groups
• AMS: 11F*     Discontinuous groups and automorphic forms
• AMS: 11G*     Arithmetic algebraic geometry (Diophantine geometry)
• AMS: 11H*     Geometry of numbers
• AMS: 11J*     Diophantine approximation, transcendental number theory
• AMS: 11K*     Probabilistic theory: distribution modulo $1$; metric theory of algorithms
• AMS: 11L*     Exponential sums and character sums
• AMS: 11M*     Zeta and $L$-functions: analytic theory
• AMS: 11N*     Multiplicative number theory
• AMS: 11P*     Additive number theory; partitions
• AMS: 11R*     Algebraic number theory: global fields
• AMS: 11S*     Algebraic number theory: local and $p$-adic fields
• AMS: 11T*     Finite fields and commutative rings (number-theoretic aspects)
• AMS: 11U*     Connections with logic
• AMS: 11Y*     Computational number theory
• AMS: 11Z*     Miscellaneous applications of number theory

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FIELD THEORY AND POLYNOMIALS

AMS: 12       All of this section
AMS: 12-XX    Not classified at a more specific level

• AMS: 12-00    General reference works
• AMS: 12-01    Instructional exposition
• AMS: 12-02    Research exposition
• AMS: 12-03    Historical
• AMS: 12-04    Explicit machine computation and programs
• AMS: 12-06    Proceedings, conferences, collections, etc.

• AMS: 12D*     Real and complex fields
• AMS: 12E*     General field theory
• AMS: 12F*     Field extensions
• AMS: 12G*     Homological methods (field theory)
• AMS: 12H*     Differential and difference algebra
• AMS: 12J*     Topological fields
• AMS: 12K*     Generalizations of fields
• AMS: 12L*     Connections with logic
• AMS: 12Y*     Computational aspects of field theory and polynomials

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COMMUTATIVE RINGS AND ALGEBRAS

AMS: 13       All of this section
AMS: 13-XX    Not classified at a more specific level

• AMS: 13-00    General reference works
• AMS: 13-01    Instructional exposition
• AMS: 13-02    Research exposition
• AMS: 13-03    Historical
• AMS: 13-04    Explicit machine computation and programs
• AMS: 13-06    Proceedings, conferences, collections, etc.

• AMS: 13A*     General commutative ring theory
• AMS: 13B*     Ring extensions and related topics
• AMS: 13C*     Theory of modules and ideals
• AMS: 13D*     Homological methods
• AMS: 13E*     Chain conditions, finiteness conditions
• AMS: 13F*     Arithmetic rings and other special rings
• AMS: 13G*     Integral domains
• AMS: 13H*     Local rings and semilocal rings
• AMS: 13J*     Topological rings and modules
• AMS: 13L*     Applications of logic to commutative algebra
• AMS: 13M*     Finite commutative rings
• AMS: 13N*     Differential algebra
• AMS: 13P*     Computational aspects of commutative algebra

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ALGEBRAIC GEOMETRY

AMS: 14       All of this section
AMS: 14-XX    Not classified at a more specific level

• AMS: 14-00    General reference works
• AMS: 14-01    Instructional exposition
• AMS: 14-02    Research exposition
• AMS: 14-03    Historical
• AMS: 14-04    Explicit machine computation and programs
• AMS: 14-06    Proceedings, conferences, collections, etc.

• AMS: 14A*     Foundations
• AMS: 14B*     Local theory
• AMS: 14C*     Cycles and subschemes
• AMS: 14D*     Families, fibrations
• AMS: 14E*     Birational geometry
• AMS: 14F*     (Co)homology theory
• AMS: 14G*     Arithmetic problems. Diophantine geometry
• AMS: 14H*     Curves
• AMS: 14J*     Surfaces and higher-dimensional varieties
• AMS: 14K*     Abelian varieties and schemes
• AMS: 14L*     Algebraic groups
• AMS: 14M*     Special varieties
• AMS: 14N*     Projective and enumerative geometry
• AMS: 14P*     Real algebraic and real analytic geometry
• AMS: 14Q*     Computational aspects in algebraic geometry
• AMS: 14R*     Affine geometry
• AMS: 14T*     Tropical geometry

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LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY

AMS: 15       All of this section
AMS: 15-XX    Not classified at a more specific level

• AMS: 15-00    General reference works
• AMS: 15-01    Instructional exposition
• AMS: 15-02    Research exposition
• AMS: 15-03    Historical
• AMS: 15-04    Explicit machine computation and programs
• AMS: 15-06    Proceedings, conferences, collections, etc.

• AMS: 15A*     Basic linear algebra
• AMS: 15B*     Special matrices

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ASSOCIATIVE RINGS AND ALGEBRAS

AMS: 16       All of this section
AMS: 16-XX    Not classified at a more specific level

• AMS: 16-00    General reference works
• AMS: 16-01    Instructional exposition
• AMS: 16-02    Research exposition
• AMS: 16-03    Historical
• AMS: 16-04    Explicit machine computation and programs
• AMS: 16-06    Proceedings, conferences, collections, etc.

• AMS: 16B*     General and miscellaneous
• AMS: 16D*     Modules, bimodules and ideals
• AMS: 16E*     Homological methods
• AMS: 16G*     Representation theory of rings and algebras
• AMS: 16H*     Algebras and orders
• AMS: 16K*     Division rings and semisimple Artin rings
• AMS: 16L*     Local rings and generalizations
• AMS: 16N*     Radicals and radical properties of rings
• AMS: 16P*     Chain conditions, growth conditions, and other forms of finiteness
• AMS: 16R*     Rings with polynomial identity
• AMS: 16S*     Rings and algebras arising under various constructions
• AMS: 16T*     Hopf algebras, quantum groups and related topics
• AMS: 16U*     Conditions on elements
• AMS: 16W*     Rings and algebras with additional structure
• AMS: 16Y*     Generalizations
• AMS: 16Z*     Computational aspects of associative rings

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NONASSOCIATIVE RINGS AND ALGEBRAS

AMS: 17       All of this section
AMS: 17-XX    Not classified at a more specific level

• AMS: 17-00    General reference works
• AMS: 17-01    Instructional exposition
• AMS: 17-02    Research exposition
• AMS: 17-03    Historical
• AMS: 17-04    Explicit machine computation and programs
• AMS: 17-06    Proceedings, conferences, collections, etc.
• AMS: 17-08    Computational methods

• AMS: 17A*     General nonassociative rings
• AMS: 17B*     Lie algebras and Lie superalgebras
• AMS: 17C*     Jordan algebras (algebras, triples and pairs)
• AMS: 17D*     Other nonassociative rings and algebras

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CATEGORY THEORY; HOMOLOGICAL ALGEBRA

AMS: 18       All of this section
AMS: 18-XX    Not classified at a more specific level

• AMS: 18-00    General reference works
• AMS: 18-01    Instructional exposition
• AMS: 18-02    Research exposition
• AMS: 18-03    Historical
• AMS: 18-04    Explicit machine computation and programs
• AMS: 18-06    Proceedings, conferences, collections, etc.

• AMS: 18A*     General theory of categories and functors
• AMS: 18B*     Special categories
• AMS: 18C*     Categories and theories
• AMS: 18D*     Categories with structure
• AMS: 18E*     Abelian categories
• AMS: 18F*     Categories and geometry
• AMS: 18G*     Homological algebra

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$K$-THEORY

AMS: 19       All of this section
AMS: 19-XX    Not classified at a more specific level

• AMS: 19-00    General reference works
• AMS: 19-01    Instructional exposition
• AMS: 19-02    Research exposition
• AMS: 19-03    Historical
• AMS: 19-04    Explicit machine computation and programs
• AMS: 19-06    Proceedings, conferences, collections, etc.

• AMS: 19A*     Grothendieck groups and $K_0$
• AMS: 19B*     Whitehead groups and $K_1$
• AMS: 19C*     Steinberg groups and $K_2$
• AMS: 19D*     Higher algebraic $K$-theory
• AMS: 19E*     $K$-theory in geometry
• AMS: 19F*     $K$-theory in number theory
• AMS: 19G*     $K$-theory of forms
• AMS: 19J*     Obstructions from topology
• AMS: 19K*     $K$-theory and operator algebras
• AMS: 19L*     Topological $K$-theory
• AMS: 19M*     Miscellaneous applications of $K$$K$-theory

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GROUP THEORY AND GENERALIZATIONS

AMS: 20       All of this section
AMS: 20-XX    Not classified at a more specific level

• AMS: 20-00    General reference works
• AMS: 20-01    Instructional exposition
• AMS: 20-02    Research exposition
• AMS: 20-03    Historical
• AMS: 20-04    Explicit machine computation and programs
• AMS: 20-06    Proceedings, conferences, collections, etc.

• AMS: 20A*     Foundations
• AMS: 20B*     Permutation groups
• AMS: 20C*     Representation theory of groups
• AMS: 20D*     Abstract finite groups
• AMS: 20E*     Structure and classification of infinite or finite groups
• AMS: 20F*     Special aspects of infinite or finite groups
• AMS: 20G*     Linear algebraic groups (classical groups)
• AMS: 20H*     Other groups of matrices
• AMS: 20J*     Connections with homological algebra and category theory
• AMS: 20K*     Abelian groups
• AMS: 20L*     Groupoids (i.e. small categories in which all morphisms are isomorphisms)
• AMS: 20M*     Semigroups
• AMS: 20N*     Other generalizations of groups
• AMS: 20P*     Probabilistic methods in group theory

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TOPOLOGICAL GROUPS, LIE GROUPS

AMS: 22       All of this section
AMS: 22-XX    Not classified at a more specific level

• AMS: 22-00    General reference works
• AMS: 22-01    Instructional exposition
• AMS: 22-02    Research exposition
• AMS: 22-03    Historical
• AMS: 22-04    Explicit machine computation and programs
• AMS: 22-06    Proceedings, conferences, collections, etc.

• AMS: 22A*     Topological and differentiable algebraic systems
• AMS: 22B*     Locally compact abelian groups (LCA groups)
• AMS: 22C*     Compact groups
• AMS: 22D*     Locally compact groups and their algebras
• AMS: 22E*     Lie groups
• AMS: 22F*     Noncompact transformation groups

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REAL FUNCTIONS

AMS: 26       All of this section
AMS: 26-XX    Not classified at a more specific level

• AMS: 26-00    General reference works
• AMS: 26-01    Instructional exposition
• AMS: 26-02    Research exposition
• AMS: 26-03    Historical
• AMS: 26-04    Explicit machine computation and programs
• AMS: 26-06    Proceedings, conferences, collections, etc.

• AMS: 26A*     Functions of one variable
• AMS: 26B*     Functions of several variables
• AMS: 26C*     Polynomials, rational functions
• AMS: 26D*     Inequalities
• AMS: 26E*     Miscellaneous topics

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MEASURE AND INTEGRATION

AMS: 28       All of this section
AMS: 28-XX    Not classified at a more specific level

• AMS: 28-00    General reference works
• AMS: 28-01    Instructional exposition
• AMS: 28-02    Research exposition
• AMS: 28-03    Historical
• AMS: 28-04    Explicit machine computation and programs
• AMS: 28-06    Proceedings, conferences, collections, etc.

• AMS: 28A*     Classical measure theory
• AMS: 28B*     Set functions, measures and integrals with values in abstract spaces
• AMS: 28C*     Set functions and measures on spaces with additional structure
• AMS: 28D*     Measure-theoretic ergodic theory
• AMS: 28E*     Miscellaneous topics in measure theory

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FUNCTIONS OF A COMPLEX VARIABLE

AMS: 30       All of this section
AMS: 30-XX    Not classified at a more specific level

• AMS: 30-00    General reference works
• AMS: 30-01    Instructional exposition
• AMS: 30-02    Research exposition
• AMS: 30-03    Historical
• AMS: 30-04    Explicit machine computation and programs
• AMS: 30-06    Proceedings, conferences, collections, etc.

• AMS: 30A*     General properties
• AMS: 30B*     Series expansions
• AMS: 30C*     Geometric function theory
• AMS: 30D*     Entire and meromorphic functions, and related topics
• AMS: 30E*     Miscellaneous topics of analysis in the complex domain
• AMS: 30F*     Riemann surfaces
• AMS: 30G*     Generalized function theory
• AMS: 30H*     Spaces and algebras of analytic functions
• AMS: 30J*     Function theory on the disc
• AMS: 30K*     Universal holomorphic functions
• AMS: 30L*     Analysis on metric spaces

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POTENTIAL THEORY

AMS: 31       All of this section
AMS: 31-XX    Not classified at a more specific level

• AMS: 31-00    General reference works
• AMS: 31-01    Instructional exposition
• AMS: 31-02    Research exposition
• AMS: 31-03    Historical
• AMS: 31-04    Explicit machine computation and programs
• AMS: 31-06    Proceedings, conferences, collections, etc.

• AMS: 31A*     Two-dimensional theory
• AMS: 31B*     Higher-dimensional theory
• AMS: 31C*     Other generalizations
• AMS: 31D*     Axiomatic potential theory
• AMS: 31E*     Potential theory on metric spaces

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SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES

AMS: 32       All of this section
AMS: 32-XX    Not classified at a more specific level

• AMS: 32-00    General reference works
• AMS: 32-01    Instructional exposition
• AMS: 32-02    Research exposition
• AMS: 32-03    Historical
• AMS: 32-04    Explicit machine computation and programs
• AMS: 32-06    Proceedings, conferences, collections, etc.

• AMS: 32A*     Holomorphic functions of several complex variables
• AMS: 32B*     Local analytic geometry
• AMS: 32C*     Analytic spaces
• AMS: 32D*     Analytic continuation
• AMS: 32E*     Holomorphic convexity
• AMS: 32F*     Geometric convexity
• AMS: 32G*     Deformations of analytic structures
• AMS: 32H*     Holomorphic mappings and correspondences
• AMS: 32J*     Compact analytic spaces
• AMS: 32K*     Generalizations of analytic spaces
• AMS: 32L*     Holomorphic fiber spaces
• AMS: 32M*     Complex spaces with a group of automorphisms
• AMS: 32N*     Automorphic functions
• AMS: 32P*     Non-Archimedean analysis
• AMS: 32Q*     Complex manifolds
• AMS: 32R*     ??? Complex dynamics
• AMS: 32S*     Singularities
• AMS: 32T*     Pseudoconvex domains
• AMS: 32U*     Pluripotential theory
• AMS: 32V*     CR Manifolds
• AMS: 32W*     Differential operators in several variables

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SPECIAL FUNCTIONS

AMS: 33       All of this section
AMS: 33-XX    Not classified at a more specific level

• AMS: 33-00    General reference works
• AMS: 33-01    Instructional exposition
• AMS: 33-02    Research exposition
• AMS: 33-03    Historical
• AMS: 33-04    Explicit machine computation and programs
• AMS: 33-06    Proceedings, conferences, collections, etc.

• AMS: 33B*     Elementary classical functions
• AMS: 33C*     Hypergeometric functions
• AMS: 33D*     Basic hypergeometric functions
• AMS: 33E*     Other special functions
• AMS: 33F*     Computational aspects

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ORDINARY DIFFERENTIAL EQUATIONS

AMS: 34       All of this section
AMS: 34-XX    Not classified at a more specific level

• AMS: 34-00    General reference works
• AMS: 34-01    Instructional exposition
• AMS: 34-02    Research exposition
• AMS: 34-03    Historical
• AMS: 34-04    Explicit machine computation and programs
• AMS: 34-06    Proceedings, conferences, collections, etc.

• AMS: 34A*     General theory
• AMS: 34B*     Boundary value problems
• AMS: 34C*     Qualitative theory
• AMS: 34D*     Stability theory
• AMS: 34E*     Asymptotic theory
• AMS: 34F*     Equations and systems with randomness
• AMS: 34G*     Differential equations in abstract spaces
• AMS: 34H*     Control problems
• AMS: 34K*     Functional-differential and differential-difference equations
• AMS: 34L*     Ordinary differential operators
• AMS: 34M*     Differential equations in the complex domain
• AMS: 34N*     Dynamic equations on time scales or measure chains

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PARTIAL DIFFERENTIAL EQUATIONS

AMS: 35       All of this section
AMS: 35-XX    Not classified at a more specific level

• AMS: 35-00    General reference works
• AMS: 35-01    Instructional exposition
• AMS: 35-02    Research exposition
• AMS: 35-03    Historical
• AMS: 35-04    Explicit machine computation and programs
• AMS: 35-06    Proceedings, conferences, collections, etc.

• AMS: 35A*     General theory
• AMS: 35B*     Qualitative properties of solutions
• AMS: 35C*     Representations of solutions
• AMS: 35D*     Generalized solutions of partial differential equations
• AMS: 35E*     Equations and systems with constant coefficients
• AMS: 35F*     General first-order equations and systems
• AMS: 35G*     General higher-order equations and systems
• AMS: 35H*     Close-to-elliptic equations
• AMS: 35J*     Partial differential equations of elliptic type
• AMS: 35K*     Parabolic equations and systems
• AMS: 35L*     Partial differential equations of hyperbolic type
• AMS: 35M*     Partial differential equations of special type (mixed, composite, etc.)
• AMS: 35N*     Overdetermined systems
• AMS: 35P*     Spectral theory and eigenvalue problems for partial differential operators
• AMS: 35Q*     Equations of mathematical physics and other areas of application
• AMS: 35R*     Miscellaneous topics involving partial differential equations
• AMS: 35S*     Pseudodifferential operators and other generalizations of partial differential operators

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DYNAMICAL SYSTEMS AND ERGODIC THEORY

AMS: 37       All of this section
AMS: 37-XX    Not classified at a more specific level

• AMS: 37-00    General reference works
• AMS: 37-01    Instructional exposition
• AMS: 37-02    Research exposition
• AMS: 37-03    Historical
• AMS: 37-04    Explicit machine computation and programs
• AMS: 37-06    Proceedings, conferences, collections, etc.

• AMS: 37A*     Ergodic theory
• AMS: 37B*     Topological dynamics
• AMS: 37C*     Smooth dynamical systems: general theory
• AMS: 37D*     Dynamical systems with hyperbolic behavior
• AMS: 37E*     Low-dimensional dynamical systems
• AMS: 37F*     Complex dynamical systems
• AMS: 37G*     Local and nonlocal bifurcation theory
• AMS: 37H*     Random dynamical systems
• AMS: 37J*     Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
• AMS: 37K*     Infinite-dimensional Hamiltonian systems
• AMS: 37L*     Infinite-dimensional dissipative dynamical systems
• AMS: 37M*     Approximation methods and numerical treatment of dynamical systems
• AMS: 37N*     Applications
• AMS: 37P*     Arithmetic and non-Archimedean dynamical systems

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DIFFERENCE AND FUNCTIONAL EQUATIONS

AMS: 39       All of this section
AMS: 39-XX    Not classified at a more specific level

• AMS: 39-00    General reference works
• AMS: 39-01    Instructional exposition
• AMS: 39-02    Research exposition
• AMS: 39-03    Historical
• AMS: 39-04    Explicit machine computation and programs
• AMS: 39-06    Proceedings, conferences, collections, etc.

• AMS: 39A*     Difference equations
• AMS: 39B*     Functional equations and inequalities

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SEQUENCES, SERIES, SUMMABILITY

AMS: 40       All of this section
AMS: 40-XX    Not classified at a more specific level

• AMS: 40-00    General reference works
• AMS: 40-01    Instructional exposition
• AMS: 40-02    Research exposition
• AMS: 40-03    Historical
• AMS: 40-04    Explicit machine computation and programs
• AMS: 40-06    Proceedings, conferences, collections, etc.

• AMS: 40A*     Convergence and divergence of infinite limiting processes
• AMS: 40B*     Multiple sequences and series
• AMS: 40C*     General summability methods
• AMS: 40D*     Direct theorems on summability
• AMS: 40E*     Inversion theorems
• AMS: 40F*     Absolute and strong summability
• AMS: 40G*     Special methods of summability
• AMS: 40H*     Functional analytic methods in summability
• AMS: 40J*     Summability in abstract structures

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APPROXIMATIONS AND EXPANSIONS

AMS: 41       All of this section
AMS: 41-XX    Not classified at a more specific level

• AMS: 41-00    General reference works
• AMS: 41-01    Instructional exposition
• AMS: 41-02    Research exposition
• AMS: 41-03    Historical
• AMS: 41-04    Explicit machine computation and programs
• AMS: 41-06    Proceedings, conferences, collections, etc.

• AMS: 41A*     Approximations and expansions

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FOURIER ANALYSIS

AMS: 42       All of this section
AMS: 42-XX    Not classified at a more specific level

• AMS: 42-00    General reference works
• AMS: 42-01    Instructional exposition
• AMS: 42-02    Research exposition
• AMS: 42-03    Historical
• AMS: 42-04    Explicit machine computation and programs
• AMS: 42-06    Proceedings, conferences, collections, etc.

• AMS: 42A*     Fourier analysis in one variable
• AMS: 42B*     Fourier analysis in several variables
• AMS: 42C*     Nontrigonometric Fourier analysis

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ABSTRACT HARMONIC ANALYSIS

AMS: 43       All of this section
AMS: 43-XX    Not classified at a more specific level

• AMS: 43-00    General reference works
• AMS: 43-01    Instructional exposition
• AMS: 43-02    Research exposition
• AMS: 43-03    Historical
• AMS: 43-04    Explicit machine computation and programs
• AMS: 43-06    Proceedings, conferences, collections, etc.

• AMS: 43A*     Abstract harmonic analysis

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INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS

AMS: 44       All of this section
AMS: 44-XX    Not classified at a more specific level

• AMS: 44-00    General reference works
• AMS: 44-01    Instructional exposition
• AMS: 44-02    Research exposition
• AMS: 44-03    Historical
• AMS: 44-04    Explicit machine computation and programs
• AMS: 44-06    Proceedings, conferences, collections, etc.

• AMS: 44A*     Integral transforms, operational calculus

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INTEGRAL EQUATIONS

AMS: 45       All of this section
AMS: 45-XX    Not classified at a more specific level

• AMS: 45-00    General reference works
• AMS: 45-01    Instructional exposition
• AMS: 45-02    Research exposition
• AMS: 45-03    Historical
• AMS: 45-04    Explicit machine computation and programs
• AMS: 45-06    Proceedings, conferences, collections, etc.

• AMS: 45A*     Linear integral equations
• AMS: 45B*     Fredholm integral equations
• AMS: 45C*     Eigenvalue problems
• AMS: 45D*     Volterra integral equations
• AMS: 45E*     Singular integral equations
• AMS: 45F*     Systems of linear integral equations
• AMS: 45G*     Nonlinear integral equations
• AMS: 45H*     Miscellaneous special kernels
• AMS: 45J*     Integro-ordinary differential equations
• AMS: 45K*     Integro-partial differential equations
• AMS: 45L*     Theoretical approximation of solutions
• AMS: 45M*     Qualitative behavior
• AMS: 45N*     Abstract integral equations, integral equations in abstract spaces
• AMS: 45P*     Integral operators
• AMS: 45Q*     Inverse problems
• AMS: 45R*     Random integral equations

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FUNCTIONAL ANALYSIS

AMS: 46       All of this section
AMS: 46-XX    Not classified at a more specific level

• AMS: 46-00    General reference works
• AMS: 46-01    Instructional exposition
• AMS: 46-02    Research exposition
• AMS: 46-03    Historical
• AMS: 46-04    Explicit machine computation and programs
• AMS: 46-06    Proceedings, conferences, collections, etc.

• AMS: 46A*     Topological linear spaces and related structures
• AMS: 46B*     Normed linear spaces and Banach spaces; Banach lattices
• AMS: 46C*     Inner product spaces and their generalizations, Hilbert spaces
• AMS: 46E*     Linear function spaces and their duals
• AMS: 46F*     Distributions, generalized functions, distribution spaces
• AMS: 46G*     Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
• AMS: 46H*     Topological algebras, normed rings and algebras, Banach algebras
• AMS: 46J*     Commutative Banach algebras and commutative topological algebras
• AMS: 46K*     Topological (rings and) algebras with an involution
• AMS: 46L*     Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.)
• AMS: 46M*     Methods of category theory in functional analysis
• AMS: 46N*     Miscellaneous applications of functional analysis
• AMS: 46S*     Other (nonclassical) types of functional analysis
• AMS: 46T*     Nonlinear functional analysis

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OPERATOR THEORY

AMS: 47       All of this section
AMS: 47-XX    Not classified at a more specific level

• AMS: 47-00    General reference works
• AMS: 47-01    Instructional exposition
• AMS: 47-02    Research exposition
• AMS: 47-03    Historical
• AMS: 47-04    Explicit machine computation and programs
• AMS: 47-06    Proceedings, conferences, collections, etc.

• AMS: 47A*     General theory of linear operators
• AMS: 47B*     Special classes of linear operators
• AMS: 47C*     Individual linear operators as elements of algebraic systems
• AMS: 47D*     Groups and semigroups of linear operators, their generalizations and applications
• AMS: 47E*     Ordinary differential operators
• AMS: 47F*     Partial differential operators
• AMS: 47G*     Integral, integro-differential, and pseudodifferential operators
• AMS: 47H*     Nonlinear operators and their properties
• AMS: 47J*     Equations and inequalities involving nonlinear operators
• AMS: 47L*     Linear spaces and algebras of operators
• AMS: 47N*     Miscellaneous applications of operator theory
• AMS: 47S*     Other (nonclassical) types of operator theory

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CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION

AMS: 49       All of this section
AMS: 49-XX    Not classified at a more specific level

• AMS: 49-00    General reference works
• AMS: 49-01    Instructional exposition
• AMS: 49-02    Research exposition
• AMS: 49-03    Historical
• AMS: 49-04    Explicit machine computation and programs
• AMS: 49-06    Proceedings, conferences, collections, etc.

• AMS: 49J*     Existence theories
• AMS: 49K*     Necessary conditions and sufficient conditions for optimality
• AMS: 49L*     Hamilton-Jacobi theories, including dynamic programming
• AMS: 49M*     Methods of successive approximations
• AMS: 49N*     Miscellaneous topics
• AMS: 49Q*     Manifolds
• AMS: 49R*     Variational methods for eigenvalues of operators
• AMS: 49S*     Variational principles of physics

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GEOMETRY

AMS: 51       All of this section
AMS: 51-XX    Not classified at a more specific level

• AMS: 51-00    General reference works
• AMS: 51-01    Instructional exposition
• AMS: 51-02    Research exposition
• AMS: 51-03    Historical
• AMS: 51-04    Explicit machine computation and programs
• AMS: 51-06    Proceedings, conferences, collections, etc.

• AMS: 51A*     Linear incidence geometry
• AMS: 51B*     Nonlinear incidence geometry
• AMS: 51C*     Ring geometry (Hjelmslev, Barbilian, etc.)
• AMS: 51D*     Geometric closure systems
• AMS: 51E*     Finite geometry and special incidence structures
• AMS: 51F*     Metric geometry
• AMS: 51G*     Ordered geometries (ordered incidence structures, etc.)
• AMS: 51H*     Topological geometry
• AMS: 51J*     Incidence groups
• AMS: 51K*     Distance geometry
• AMS: 51L*     Geometric order structures
• AMS: 51M*     Real and complex geometry
• AMS: 51N*     Analytic and descriptive geometry
• AMS: 51P*     Geometry and physics

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CONVEX AND DISCRETE GEOMETRY

AMS: 52       All of this section
AMS: 52-XX    Not classified at a more specific level

• AMS: 52-00    General reference works
• AMS: 52-01    Instructional exposition
• AMS: 52-02    Research exposition
• AMS: 52-03    Historical
• AMS: 52-04    Explicit machine computation and programs
• AMS: 52-06    Proceedings, conferences, collections, etc.

• AMS: 52A*     General convexity
• AMS: 52B*     Polytopes and polyhedra
• AMS: 52C*     Discrete geometry

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DIFFERENTIAL GEOMETRY

AMS: 53       All of this section
AMS: 53-XX    Not classified at a more specific level

• AMS: 53-00    General reference works
• AMS: 53-01    Instructional exposition
• AMS: 53-02    Research exposition
• AMS: 53-03    Historical
• AMS: 53-04    Explicit machine computation and programs
• AMS: 53-06    Proceedings, conferences, collections, etc.

• AMS: 53A*     Classical differential geometry
• AMS: 53B*     Local differential geometry
• AMS: 53C*     Global differential geometry
• AMS: 53D*     Symplectic geometry, contact geometry
• AMS: 53Z*     Applications to physics

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GENERAL TOPOLOGY

AMS: 54       All of this section
AMS: 54-XX    Not classified at a more specific level

• AMS: 54-00    General reference works
• AMS: 54-01    Instructional exposition
• AMS: 54-02    Research exposition
• AMS: 54-03    Historical
• AMS: 54-04    Explicit machine computation and programs
• AMS: 54-06    Proceedings, conferences, collections, etc.

• AMS: 54A*     Generalities
• AMS: 54B*     Basic constructions
• AMS: 54C*     Maps and general types of spaces defined by maps
• AMS: 54D*     Fairly general properties
• AMS: 54E*     Spaces with richer structures
• AMS: 54F*     Special properties
• AMS: 54G*     Peculiar spaces
• AMS: 54H*     Connections with other structures, applications
• AMS: 54J*     Nonstandard topology

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ALGEBRAIC TOPOLOGY

AMS: 55       All of this section
AMS: 55-XX    Not classified at a more specific level

• AMS: 55-00    General reference works
• AMS: 55-01    Instructional exposition
• AMS: 55-02    Research exposition
• AMS: 55-03    Historical
• AMS: 55-04    Explicit machine computation and programs
• AMS: 55-06    Proceedings, conferences, collections, etc.

• AMS: 55M*     Classical topics
• AMS: 55N*     Homology and cohomology theories
• AMS: 55P*     Homotopy theory
• AMS: 55Q*     Homotopy groups
• AMS: 55R*     Fiber spaces and bundles
• AMS: 55S*     Operations and obstructions
• AMS: 55T*     Spectral sequences
• AMS: 55U*     Applied homological algebra and category theory

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MANIFOLDS AND CELL COMPLEXES

AMS: 57       All of this section
AMS: 57-XX    Not classified at a more specific level

• AMS: 57-00    General reference works
• AMS: 57-01    Instructional exposition
• AMS: 57-02    Research exposition
• AMS: 57-03    Historical
• AMS: 57-04    Explicit machine computation and programs
• AMS: 57-06    Proceedings, conferences, collections, etc.

• AMS: 57M*     Low-dimensional topology
• AMS: 57N*     Topological manifolds
• AMS: 57P*     Generalized manifolds
• AMS: 57Q*     PL-topology
• AMS: 57R*     Differential topology
• AMS: 57S*     Topological transformation groups
• AMS: 57T*     Homology and homotopy of topological groups and related structures

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GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS

AMS: 58       All of this section
AMS: 58-XX    Not classified at a more specific level

• AMS: 58-00    General reference works
• AMS: 58-01    Instructional exposition
• AMS: 58-02    Research exposition
• AMS: 58-03    Historical
• AMS: 58-04    Explicit machine computation and programs
• AMS: 58-06    Proceedings, conferences, collections, etc.

• AMS: 58A*     General theory of differentiable manifolds
• AMS: 58B*     Infinite-dimensional manifolds
• AMS: 58C*     Calculus on manifolds; nonlinear operators
• AMS: 58D*     Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
• AMS: 58E*     Variational problems in infinite-dimensional spaces
• AMS: 58H*     Pseudogroups, differentiable groupoids and general structures on manifolds
• AMS: 58J*     Partial differential equations on manifolds; differential operators
• AMS: 58K*     Theory of singularities and catastrophe theory
• AMS: 58Z*     Applications to physics

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PROBABILITY THEORY AND STOCHASTIC PROCESSES

AMS: 60       All of this section
AMS: 60-XX    Not classified at a more specific level

• AMS: 60-00    General reference works
• AMS: 60-01    Instructional exposition
• AMS: 60-02    Research exposition
• AMS: 60-03    Historical
• AMS: 60-04    Explicit machine computation and programs
• AMS: 60-06    Proceedings, conferences, collections, etc.
• AMS: 60-08    Computational methods

• AMS: 60A*     Foundations of probability theory
• AMS: 60B*     Probability theory on algebraic and topological structures
• AMS: 60C*     Combinatorial probability
• AMS: 60D*     Geometric probability and stochastic geometry
• AMS: 60E*     Distribution theory
• AMS: 60F*     Limit theorems
• AMS: 60G*     Stochastic processes
• AMS: 60H*     Stochastic analysis
• AMS: 60J*     Markov processes
• AMS: 60K*     Special processes

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STATISTICS

AMS: 62       All of this section
AMS: 62-XX    Not classified at a more specific level

• AMS: 62-00    General reference works
• AMS: 62-01    Instructional exposition
• AMS: 62-02    Research exposition
• AMS: 62-03    Historical
• AMS: 62-04    Explicit machine computation and programs
• AMS: 62-06    Proceedings, conferences, collections, etc.
• AMS: 62-07    Data analysis
• AMS: 62-09    Graphical methods

• AMS: 62A*     Foundational and philosophical topics
• AMS: 62B*     Sufficiency and information
• AMS: 62C*     Decision theory
• AMS: 62D*     Sampling theory, sample surveys
• AMS: 62E*     Distribution theory
• AMS: 62F*     Parametric inference
• AMS: 62G*     Nonparametric inference
• AMS: 62H*     Multivariate analysis
• AMS: 62J*     Linear inference, regression
• AMS: 62K*     Design of experiments
• AMS: 62L*     Sequential methods
• AMS: 62M*     Inference from stochastic processes
• AMS: 62N*     Survival analysis and censored data
• AMS: 62P*     Applications
• AMS: 62Q*     Statistical tables

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NUMERICAL ANALYSIS

AMS: 65       All of this section
AMS: 65-XX    Not classified at a more specific level

• AMS: 65-00    General reference works
• AMS: 65-01    Instructional exposition
• AMS: 65-02    Research exposition
• AMS: 65-03    Historical
• AMS: 65-04    Explicit machine computation and programs
• AMS: 65-05    Experimental papers
• AMS: 65-06    Proceedings, conferences, collections, etc.

• AMS: 65A*     Tables
• AMS: 65B*     Acceleration of convergence
• AMS: 65C*     Probabilistic methods, simulation and stochastic differential equations
• AMS: 65D*     Numerical approximation and computational geometry
• AMS: 65E*     Numerical methods in complex analysis (potential theory, etc.)
• AMS: 65F*     Numerical linear algebra
• AMS: 65G*     Error analysis and interval analysis
• AMS: 65H*     Nonlinear algebraic or transcendental equations
• AMS: 65J*     Numerical analysis in abstract spaces
• AMS: 65K*     Mathematical programming, optimization and variational techniques
• AMS: 65L*     Ordinary differential equations
• AMS: 65M*     Partial differential equations, initial value and time-dependent initial-boundary value problems
• AMS: 65N*     Partial differential equations, boundary value problems
• AMS: 65P*     Numerical problems in dynamical systems
• AMS: 65Q*     Difference and functional equations, recurrence relations
• AMS: 65R*     Integral equations, integral transforms
• AMS: 65S*     Graphical methods
• AMS: 65T*     Numerical methods in Fourier analysis
• AMS: 65Y*     Computer aspects of numerical algorithms
• AMS: 65Z*     Applications to physics

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COMPUTER SCIENCE

AMS: 68       All of this section
AMS: 68-XX    Not classified at a more specific level

• AMS: 68-00    General reference works
• AMS: 68-01    Instructional exposition
• AMS: 68-02    Research exposition
• AMS: 68-03    Historical
• AMS: 68-04    Explicit machine computation and programs
• AMS: 68-06    Proceedings, conferences, collections, etc.

• AMS: 68M*     Computer system organization
• AMS: 68N*     Software
• AMS: 68P*     Theory of data
• AMS: 68Q*     Theory of computing
• AMS: 68R*     Discrete mathematics in relation to computer science
• AMS: 68T*     Artificial intelligence
• AMS: 68U*     Computing methodologies and applications
• AMS: 68W*     Algorithms

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MECHANICS OF PARTICLES AND SYSTEMS

AMS: 70       All of this section
AMS: 70-XX    Not classified at a more specific level

• AMS: 70-00    General reference works
• AMS: 70-01    Instructional exposition
• AMS: 70-02    Research exposition
• AMS: 70-03    Historical
• AMS: 70-04    Explicit machine computation and programs
• AMS: 70-05    Experimental work
• AMS: 70-06    Proceedings, conferences, collections, etc.
• AMS: 70-08    Computational methods

• AMS: 70A*     Axiomatics, foundations
• AMS: 70B*     Kinematics
• AMS: 70C*     Statics
• AMS: 70E*     Dynamics of a rigid body and of multibody systems
• AMS: 70F*     Dynamics of a system of particles, including celestial mechanics
• AMS: 70G*     General models, approaches, and methods
• AMS: 70H*     Hamiltonian and Lagrangian mechanics
• AMS: 70J*     Linear vibration theory
• AMS: 70K*     Nonlinear dynamics
• AMS: 70L*     Random vibrations
• AMS: 70M*     Orbital mechanics
• AMS: 70P*     Variable mass, rockets
• AMS: 70Q*     Control of mechanical systems
• AMS: 70S*     Classical field theories

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MECHANICS OF DEFORMABLE SOLIDS

AMS: 74       All of this section
AMS: 74-XX    Not classified at a more specific level

• AMS: 74-00    General reference works
• AMS: 74-01    Instructional exposition
• AMS: 74-02    Research exposition
• AMS: 74-03    Historical
• AMS: 74-04    Explicit machine computation and programs
• AMS: 74-05    Experimental work
• AMS: 74-06    Proceedings, conferences, collections, etc.

• AMS: 74A*     Generalities, axiomatics, foundations of continuum mechanics of solids
• AMS: 74B*     Elastic materials
• AMS: 74C*     Plastic materials, materials of stress-rate and internal-variable type
• AMS: 74D*     Materials of strain-rate type and history type, other materials with memory
• AMS: 74E*     Material properties given special treatment
• AMS: 74F*     Coupling of solid mechanics with other effects
• AMS: 74G*     Equilibrium (steady-state) problems
• AMS: 74H*     Dynamical problems
• AMS: 74J*     Waves
• AMS: 74K*     Thin bodies, structures
• AMS: 74L*     Special subfields of solid mechanics
• AMS: 74M*     Special kinds of problems
• AMS: 74N*     Phase transformations in solids
• AMS: 74P*     Optimization
• AMS: 74Q*     Homogenization, determination of effective properties
• AMS: 74R*     Fracture and damage
• AMS: 74S*     Numerical methods

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FLUID MECHANICS

AMS: 76       All of this section
AMS: 76-XX    Not classified at a more specific level

• AMS: 76-00    General reference works
• AMS: 76-01    Instructional exposition
• AMS: 76-02    Research exposition
• AMS: 76-03    Historical
• AMS: 76-04    Explicit machine computation and programs
• AMS: 76-05    Experimental work
• AMS: 76-06    Proceedings, conferences, collections, etc.

• AMS: 76A*     Foundations, constitutive equations, rheology
• AMS: 76B*     Incompressible inviscid fluids
• AMS: 76D*     Incompressible viscous fluids
• AMS: 76E*     Hydrodynamic stability
• AMS: 76F*     Turbulence
• AMS: 76G*     General aerodynamics and subsonic flows
• AMS: 76H*     Transonic flows
• AMS: 76J*     Supersonic flows
• AMS: 76K*     Hypersonic flows
• AMS: 76L*     Shock waves and blast waves
• AMS: 76M*     Basic methods in fluid mechanics
• AMS: 76N*     Compressible fluids and gas dynamics, general
• AMS: 76P*     Rarefied gas flows, Boltzmann equation
• AMS: 76Q*     Hydro- and aero-acoustics
• AMS: 76R*     Diffusion and convection
• AMS: 76S*     Flows in porous media; filtration; seepage
• AMS: 76T*     Two-phase and multiphase flows
• AMS: 76U*     Rotating fluids
• AMS: 76V*     Reaction effects in flows
• AMS: 76W*     Magnetohydrodynamics and electrohydrodynamics
• AMS: 76X*     Ionized gas flow in electromagnetic fields; plasmic flow
• AMS: 76Y*     Quantum hydrodynamics and relativistic hydrodynamics
• AMS: 76Z*     Biological fluid mechanics

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OPTICS, ELECTROMAGNETIC THEORY

AMS: 78       All of this section
AMS: 78-XX    Not classified at a more specific level

• AMS: 78-00    General reference works
• AMS: 78-01    Instructional exposition
• AMS: 78-02    Research exposition
• AMS: 78-03    Historical
• AMS: 78-04    Explicit machine computation and programs
• AMS: 78-05    Experimental work
• AMS: 78-06    Proceedings, conferences, collections, etc.

• AMS: 78A*     General
• AMS: 78M*     Basic methods

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CLASSICAL THERMODYNAMICS, HEAT TRANSFER

AMS: 80       All of this section
AMS: 80-XX    Not classified at a more specific level

• AMS: 80-00    General reference works
• AMS: 80-01    Instructional exposition
• AMS: 80-02    Research exposition
• AMS: 80-03    Historical
• AMS: 80-04    Explicit machine computation and programs
• AMS: 80-05    Experimental work
• AMS: 80-06    Proceedings, conferences, collections, etc.

• AMS: 80A*     Thermodynamics and heat transfer
• AMS: 80M*     Basic methods

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QUANTUM THEORY

AMS: 81       All of this section
AMS: 81-XX    Not classified at a more specific level

• AMS: 81-00    General reference works
• AMS: 81-01    Instructional exposition
• AMS: 81-02    Research exposition
• AMS: 81-03    Historical
• AMS: 81-04    Explicit machine computation and programs
• AMS: 81-05    Experimental papers
• AMS: 81-06    Proceedings, conferences, collections, etc.
• AMS: 81-08    Computational methods

• AMS: 81P*     Axiomatics, foundations, philosophy
• AMS: 81Q*     General mathematical topics and methods in quantum theory
• AMS: 81R*     Groups and algebras in quantum theory
• AMS: 81S*     General quantum mechanics and problems of quantization
• AMS: 81T*     Quantum field theory; related classical field theories
• AMS: 81U*     Scattering theory
• AMS: 81V*     Applications to specific physical systems

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STATISTICAL MECHANICS, STRUCTURE OF MATTER

AMS: 82       All of this section
AMS: 82-XX    Not classified at a more specific level

• AMS: 82-00    General reference works
• AMS: 82-01    Instructional exposition
• AMS: 82-02    Research exposition
• AMS: 82-03    Historical
• AMS: 82-04    Explicit machine computation and programs
• AMS: 82-05    Experimental papers
• AMS: 82-06    Proceedings, conferences, collections, etc.
• AMS: 82-08    Computational methods

• AMS: 82B*     Equilibrium statistical mechanics
• AMS: 82C*     Time-dependent statistical mechanics (dynamic and nonequilibrium)
• AMS: 82D*     Applications to specific types of physical systems

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RELATIVITY AND GRAVITATIONAL THEORY

AMS: 83       All of this section
AMS: 83-XX    Not classified at a more specific level

• AMS: 83-00    General reference works
• AMS: 83-01    Instructional exposition
• AMS: 83-02    Research exposition
• AMS: 83-03    Historical
• AMS: 83-04    Explicit machine computation and programs
• AMS: 83-05    Experimental work
• AMS: 83-06    Proceedings, conferences, collections, etc.
• AMS: 83-08    Computational methods

• AMS: 83A*     Special relativity
• AMS: 83B*     Observational and experimental questions
• AMS: 83C*     General relativity
• AMS: 83D*     Relativistic gravitational theories other than Einstein's, including asymmetric field theories
• AMS: 83E*     Unified, higher-dimensional and super field theories
• AMS: 83F*     Cosmology

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ASTRONOMY AND ASTROPHYSICS

AMS: 85       All of this section
AMS: 85-XX    Not classified at a more specific level

• AMS: 85-00    General reference works
• AMS: 85-01    Instructional exposition
• AMS: 85-02    Research exposition
• AMS: 85-03    Historical
• AMS: 85-04    Explicit machine computation and programs
• AMS: 85-05    Experimental work
• AMS: 85-06    Proceedings, conferences, collections, etc.
• AMS: 85-08    Computational methods

• AMS: 85A*     Astronomy and astrophysics

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GEOPHYSICS

AMS: 86       All of this section
AMS: 86-XX    Not classified at a more specific level

• AMS: 86-00    General reference works
• AMS: 86-01    Instructional exposition
• AMS: 86-02    Research exposition
• AMS: 86-03    Historical
• AMS: 86-04    Explicit machine computation and programs
• AMS: 86-05    Experimental work
• AMS: 86-06    Proceedings, conferences, collections, etc.
• AMS: 86-08    Computational methods

• AMS: 86A*     Geophysics

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OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING

AMS: 90       All of this section
AMS: 90-XX    Not classified at a more specific level

• AMS: 90-00    General reference works
• AMS: 90-01    Instructional exposition
• AMS: 90-02    Research exposition
• AMS: 90-03    Historical
• AMS: 90-04    Explicit machine computation and programs
• AMS: 90-06    Proceedings, conferences, collections, etc.
• AMS: 90-08    Computational methods

• AMS: 90B*     Operations research and management science
• AMS: 90C*     Mathematical programming

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GAME THEORY, ECONOMICS, SOCIAL AND BEHAVIORAL SCIENCES

AMS: 91       All of this section
AMS: 91-XX    Not classified at a more specific level

• AMS: 91-00    General reference works
• AMS: 91-01    Instructional exposition
• AMS: 91-02    Research exposition
• AMS: 91-03    Historical
• AMS: 91-04    Explicit machine computation and programs
• AMS: 91-06    Proceedings, conferences, collections, etc.
• AMS: 91-08    Computational methods

• AMS: 91A*     Game theory
• AMS: 91B*     Mathematical economics
• AMS: 91C*     Social and behavioral sciences: general topics
• AMS: 91D*     Mathematical sociology (including anthropology)
• AMS: 91E*     Mathematical psychology
• AMS: 91F*     Other social and behavioral sciences (mathematical treatment)
• AMS: 91G*     Mathematical finance

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BIOLOGY AND OTHER NATURAL SCIENCES

AMS: 92       All of this section
AMS: 92-XX    Not classified at a more specific level

• AMS: 92-00    General reference works
• AMS: 92-01    Instructional exposition
• AMS: 92-02    Research exposition
• AMS: 92-03    Historical
• AMS: 92-04    Explicit machine computation and programs
• AMS: 92-06    Proceedings, conferences, collections, etc.
• AMS: 92-08    Computational methods

• AMS: 92B*     Mathematical biology in general
• AMS: 92C*     Physiological, cellular and medical topics
• AMS: 92D*     Genetics and population dynamics
• AMS: 92E*     Chemistry
• AMS: 92F*     Other natural sciences (should also be assigned at least one other classification number in this section)

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SYSTEMS THEORY; CONTROL

AMS: 93       All of this section
AMS: 93-XX    Not classified at a more specific level

• AMS: 93-00    General reference works
• AMS: 93-01    Instructional exposition
• AMS: 93-02    Research exposition
• AMS: 93-03    Historical
• AMS: 93-04    Explicit machine computation and programs
• AMS: 93-06    Proceedings, conferences, collections, etc.

• AMS: 93A*     General
• AMS: 93B*     Controllability, observability, and system structure
• AMS: 93C*     Control systems, guided systems
• AMS: 93D*     Stability
• AMS: 93E*     Stochastic systems and control

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INFORMATION AND COMMUNICATION, CIRCUITS

AMS: 94       All of this section
AMS: 94-XX    Not classified at a more specific level

• AMS: 94-00    General reference works
• AMS: 94-01    Instructional exposition
• AMS: 94-02    Research exposition
• AMS: 94-03    Historical
• AMS: 94-04    Explicit machine computation and programs
• AMS: 94-06    Proceedings, conferences, collections, etc.

• AMS: 94A*     Communication, information
• AMS: 94B*     Theory of error-correcting codes and error-detecting codes
• AMS: 94C*     Circuits, networks
• AMS: 94D*     Fuzzy sets and logic (in connection with questions of Section 94)

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MATHEMATICS EDUCATION

AMS: 97       All of this section
AMS: 97-XX    Not classified at a more specific level

• AMS: 97-00    General reference works
• AMS: 97-01    Instructional exposition
• AMS: 97-02    Research exposition
• AMS: 97-03    Historical
• AMS: 97-04    Explicit machine computation and programs
• AMS: 97-06    Proceedings, conferences, collections, etc.

• AMS: 97A*     General
• AMS: 97B*     Educational policy and educational systems
• AMS: 97C*     Psychology of and research in mathematics education
• AMS: 97D*     Education and instruction in mathematics
• AMS: 97E*     Foundations of mathematics
• AMS: 97F*     Arithmetic, number theory
• AMS: 97G*     Geometry
• AMS: 97H*     Algebra
• AMS: 97I*     Analysis
• AMS: 97K*     Combinatorics, graph theory, probability theory, statistics
• AMS: 97M*     Mathematical modeling, applications of mathematics
• AMS: 97N*     Numerical mathematics
• AMS: 97P*     Computer science
• AMS: 97Q*     Computer science education
• AMS: 97R*     Computer science applications
• AMS: 97U*     Educational material and media. Educational technology