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# Cerca a Classificació AMS

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• Classificació AMS
• 00 General
• 00A General and miscellaneous specific topics
• 00B Conference proceedings and collections of papers
• 01 History and biography
• 01A History of mathematics and mathematicians
• 03 Mathematical logic and foundations
• 03A05 Philosophical and critical
• 03B General logic
• 03C Model theory
• 03D Computability and recursion theory
• 03E Set theory
• 03F Proof theory and constructive mathematics
• 03G Algebraic logic
• 03H Nonstandard models
• 05 Combinatorics
• 05A Enumerative combinatorics
• 05B Designs and configurations
• 05C Graph theory
• 05D Extremal combinatorics
• 05E Algebraic combinatorics
• 06 Order, lattices, ordered algebraic structures
• 06A Ordered sets
• 06B Lattices
• 06C Modular lattices, complemented lattices
• 06D Distributive lattices
• 06E Boolean algebras (Boolean rings)
• 06F Ordered structures
• 08 General algebraic systems
• 08A Algebraic structures
• 08B Varieties
• 08C Other classes of algebras
• 11 Number theory
• 11A Elementary number theory
• 11B Sequences and sets
• 11C Polynomials and matrices
• 11D Diophantine equations
• 11E Forms and linear algebraic groups
• 11F Discontinuous groups and automorphic forms
• 11G Arithmetic algebraic geometry (Diophantine geometry)
• 11H Geometry of numbers
• 11J Diophantine approximation, transcendental number theory
• 11K Probabilistic theory: distribution modulo \$1\$; metric theory of algorithms
• 11L Exponential sums and character sums
• 11M Zeta and \$L\$-functions: analytic theory
• 11N Multiplicative number theory
• 11P Additive number theory; partitions
• 11R Algebraic number theory: global fields
• 11S Algebraic number theory: local and \$p\$-adic fields
• 11T Finite fields and commutative rings (number-theoretic aspects)
• 11U Connections with logic
• 11Y Computational number theory
• 11Z05 Miscellaneous applications of number theory
• 12 Field theory and polynomials
• 12D Real and complex fields
• 12E General field theory
• 12F Field extensions
• 12G Homological methods (field theory)
• 12H Differential and difference algebra
• 12J Topological fields
• 12K Generalizations of fields
• 12L Connections with logic
• 12Y05 Computational aspects of field theory and polynomials
• 13 Commutative rings and algebras
• 13A General commutative ring theory
• 13B Ring extensions and related topics
• 13C Theory of modules and ideals
• 13D Homological methods
• 13E Chain conditions, finiteness conditions
• 13F Arithmetic rings and other special rings
• 13G05 Integral domains
• 13H Local rings and semilocal rings
• 13J Topological rings and modules
• 13K05 Witt vectors and related rings
• 13L05 Applications of logic to commutative algebra
• 13M Finite commutative rings
• 13N Differential algebra
• 13P Computational aspects of commutative algebra
• 14 Algebraic geometry
• 14A Foundations
• 14B Local theory
• 14C Cycles and subschemes
• 14D Families, fibrations
• 14E Birational geometry
• 14F (Co)homology theory
• 14G Arithmetic problems. Diophantine geometry
• 14H Curves
• 14J Surfaces and higher-dimensional varieties
• 14K Abelian varieties and schemes
• 14L Algebraic groups
• 14M Special varieties
• 14N Projective and enumerative geometry
• 14P Real algebraic and real analytic geometry
• 14Q Computational aspects in algebraic geometry
• 14R Affine geometry
• 15 Linear and multilinear algebra; matrix theory
• 16 Associative rings and algebras
• 16B General and miscellaneous
• 16D Modules, bimodules and ideals
• 16E Homological methods
• 16G Representation theory of rings and algebras
• 16H05 Orders and arithmetic, separable algebras, Azumaya algebras
• 16K Division rings and semisimple Artin rings
• 16L Local rings and generalizations
• 16P Chain conditions, growth conditions, and other forms of finiteness
• 16R Rings with polynomial identity
• 16S Rings and algebras arising under various constructions
• 16U Conditions on elements
• 16W Rings and algebras with additional structure
• 16Y Generalizations
• 16Z05 Computational aspects of associative rings
• 17 Nonassociative rings and algebras
• 17A General nonassociative rings
• 17B Lie algebras and Lie superalgebras
• 17C Jordan algebras (algebras, triples and pairs)
• 17D Other nonassociative rings and algebras
• 18 Category theory; homological algebra
• 18A General theory of categories and functors
• 18B Special categories
• 18C Categories and theories
• 18D Categories with structure
• 18E Abelian categories
• 18F Categories and geometry
• 18G Homological algebra
• 19 K-theory
• 19A Grothendieck groups and \$K_0\$
• 19B Whitehead groups and \$K_1\$
• 19C Steinberg groups and \$K_2\$
• 19D Higher algebraic \$K\$-theory
• 19E K-theory in geometry
• 19F K-theory in number theory
• 19G K-theory of forms
• 19J Obstructions from topology
• 19K K-theory and operator algebras
• 19L Topological K-theory
• 19M05 Miscellaneous applications of K-theory
• 20 Group theory and generalizations
• 20A Foundations
• 20B Permutation groups
• 20C Representation theory of groups
• 20D Abstract finite groups
• 20E Structure and classification of infinite or finite groups
• 20F Special aspects of infinite or finite groups
• 20G Linear algebraic groups (classical groups)
• 20H Other groups of matrices
• 20J Connections with homological algebra and category theory
• 20K Abelian groups
• 20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
• 20M Semigroups
• 20N Other generalizations of groups
• 20P05 Probabilistic methods in group theory
• 22 Topological groups, lie groups
• 22A Topological and differentiable algebraic systems
• 22B Locally compact abelian groups (LCA groups)
• 22C05 Compact groups
• 22D Locally compact groups and their algebras
• 22E Lie groups
• 22F Noncompact transformation groups
• 26 Real functions
• 26A Functions of one variable
• 26B Functions of several variables
• 26C Polynomials, rational functions
• 26D Inequalities
• 26E Miscellaneous topics
• 28 Measure and integration
• 28A Classical measure theory
• 28B Set functions, measures and integrals with values in abstract spaces
• 28C Set functions and measures on spaces with additional structure
• 28D Measure-theoretic ergodic theory
• 28E Miscellaneous topics in measure theory
• 30 Functions of a complex variable
• 30A General properties
• 30B Series expansions
• 30C Geometric function theory
• 30D Entire and meromorphic functions, and related topics
• 30E Miscellaneous topics of analysis in the complex domain
• 30F Riemann surfaces
• 30G Generalized function theory
• 30H05 Spaces and algebras of analytic functions
• 31 Potential theory
• 31A Two-dimensional theory
• 31B Higher-dimensional theory
• 31C Other generalizations
• 31D05 Axiomatic potential theory
• 32 Several complex variables and analytic spaces
• 32A Holomorphic functions of several complex variables
• 32B Local analytic geometry
• 32C Analytic spaces
• 32D Analytic continuation
• 32E Holomorphic convexity
• 32F Geometric convexity
• 32G Deformations of analytic structures
• 32H Holomorphic mappings and correspondences
• 32J Compact analytic spaces
• 32K Generalizations of analytic spaces
• 32L Holomorphic fiber spaces
• 32M Complex spaces with a group of automorphisms
• 32N Automorphic functions
• 32P05 Non-Archimedean complex analysis
• 32Q Complex manifolds
• 32S Singularities
• 32T Pseudoconvex domains
• 32U Pluripotential theory
• 32V CR manifolds
• 32W Differential operators in several variables
• 33 Special functions
• 33B Elementary classical functions
• 33C Hypergeometric functions
• 33D Basic hypergeometric functions
• 33E Other special functions
• 33F Computational aspects
• 34 Ordinary differential equations
• 34A General theory
• 34B Boundary value problems
• 34C Qualitative theory
• 34D Stability theory
• 34E Asymptotic theory
• 34F05 Equations and systems with randomness
• 34G Differential equations in abstract spaces
• 34H05 Control problems
• 34k Functional-differential and differential-difference equations
• 34L Ordinary differential operators
• 34M Differential equations in the complex domain
• 35 Partial differential equations
• 35A General theory
• 35B Qualitative properties of solutions
• 35C Representations of solutions
• 35D Generalized solutions of partial differential equations
• 35E Equations and systems with constant coefficients
• 35F General first-order equations and systems
• 35G General higher-order equations and systems
• 35H Close-to-elliptic equations
• 35J Partial differential equations of elliptic type
• 35K Parabolic equations and systems
• 35L Partial differential equations of hyperbolic type
• 35M Partial differential equations of special type (mixed, composite, etc.)
• 35N Overdetermined systems
• 35P Spectral theory and eigenvalue problems for partial differential operators
• 35Q Equations of mathematical physics and other areas of application
• 35R Miscellaneous topics involving partial differential equations
• 35S Pseudodifferential operators and other generalizations of partial differential operators
• 37 Dynamical systems and ergodic theory
• 37A Ergodic theory
• 37B Topological dynamics
• 37C Smooth dynamical systems: general theory
• 37D Dynamical systems with hyperbolic behavior
• 37E Low-dimensional dynamical systems
• 37F Complex dynamical systems
• 37G Local and nonlocal bifurcation theory
• 37H Random dynamical systems
• 37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
• 37K Infinite-dimensional Hamiltonian systems
• 37L Infinite-dimensional dissipative dynamical systems
• 37M Approximation methods and numerical treatment of dynamical systems
• 37N Applications
• 39 Difference and functional equations
• 39A Difference equations
• 39B Functional equations and inequalities
• 40 Sequences, series, summability
• 40A Convergence and divergence of infinite limiting processes
• 40B05 Multiple sequences and series
• 40C General summability methods
• 40D Direct theorems on summability
• 40E Inversion theorems
• 40F05 Absolute and strong summability
• 40G Special methods of summability
• 40H05 Functional analytic methods in summability
• 40J05 Summability in abstract structures
• 41 Approximations and expansions
• 42 Fourier analysis
• 42A Fourier analysis in one variable
• 42B Fourier analysis in several variables
• 42C Nontrigonometric Fourier analysis
• 43 Abstract harmonic analysis
• 44 Integral transforms, operational calculus
• 45 Integral equations
• 45A05 Linear integral equations
• 45B05 Fredholm integral equations
• 45C05 Eigenvalue problems
• 45D05 Volterra integral equations
• 45E Singular integral equations
• 45F Systems of linear integral equations
• 45G Nonlinear integral equations
• 45H05 Miscellaneous special kernels
• 45J05 Integro-ordinary differential equations
• 45K05 Integro-partial differential equations
• 45L05 Theoretical approximation of solutions
• 45M Qualitative behavior
• 45N05 Abstract integral equations, integral equations in abstract spaces
• 45P05 Integral operators
• 45Q05 Inverse problems
• 45R05 Random integral equations
• 46 Associative rings and algebras
• 46A Topological linear spaces and related structures
• 46B Normed linear spaces and Banach spaces; Banach lattices
• 46C Inner product spaces and their generalizations, Hilbert spaces
• 46E Linear function spaces and their duals
• 46F Distributions, generalized functions, distribution spaces
• 46G Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
• 46H Topological algebras, normed rings and algebras, Banach algebras
• 46J Commutative Banach algebras and commutative topological algebras
• 46K Topological (rings and) algebras with an involution
• 46L Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.)
• 46M Methods of category theory in functional analysis
• 46N Miscellaneous applications of functional analysis
• 46S Other (nonclassical) types of functional analysis
• 46T Nonlinear functional analysis
• 47 Operator theory
• 47A General theory of linear operators
• 47B Special classes of linear operators
• 47C Individual linear operators as elements of algebraic systems
• 47D Groups and semigroups of linear operators, their generalizations and applications
• 47E05 Ordinary differential operators
• 47F05 Partial differential operators
• 47G Integral, integro-differential, and pseudodifferential operators
• 47H Nonlinear operators and their properties
• 47J Equations and inequalities involving nonlinear operators
• 47L Linear spaces and algebras of operators
• 47N Miscellaneous applications of operator theory
• 47S Other (nonclassical) types of operator theory
• 49 Calculus of variations and optimal control; optimization
• 49J Existence theories
• 49K Necessary conditions and sufficient conditions for optimality
• 49L Hamilton-Jacobi theories, including dynamic programming
• 49M Methods of successive approximations
• 49N Miscellaneous topics
• 49Q Manifolds
• 49R50 Variational methods for eigenvalues of operators
• 49S05 Variational principles of physics
• 51 Geometry
• 51A Linear incidence geometry
• 51B Nonlinear incidence geometry
• 51C05 Ring geometry (Hjelmslev, Barbilian, etc.)
• 51D Geometric closure systems
• 51E Finite geometry and special incidence structures
• 51F Metric geometry
• 51G05 Ordered geometries (ordered incidence structures, etc.)
• 51H Topological geometry
• 51J Incidence groups
• 51K Distance geometry
• 51L Geometric order structures
• 51M Real and complex geometry
• 51N Analytic and descriptive geometry
• 51P05 Geometry and physics
• 52 Convex and discrete geometry
• 52A General convexity
• 52B Polytopes and polyhedra
• 52C Discrete geometry
• 53 Differential geometry
• 53A Classical differential geometry
• 53B Local differential geometry
• 53C Global differential geometry
• 53D Symplectic geometry, contact geometry
• 53Z05 Applications to physics
• 54 General topology
• 54A Generalities
• 54B Basic constructions
• 54C Maps and general types of spaces defined by maps
• 54D Fairly general properties
• 54E Spaces with richer structures
• 54F Special properties
• 54G Peculiar spaces
• 54H Connections with other structures, applications
• 54J05 Nonstandard topology
• 55 Algebraic topology
• 55M Classical topics
• 55N Homology and cohomology theories
• 55P Homotopy theory
• 55Q Homotopy groups
• 55R Fiber spaces and bundles
• 55S Operations and obstructions
• 55T Spectral sequences
• 55U Applied homological algebra and category theory
• 57 Manifolds and cell complexes
• 57M Low-dimensional topology
• 57N Topological manifolds
• 57P Generalized manifolds
• 57Q PL-topology
• 57R Differential topology
• 57S Topological transformation groups
• 57T Homology and homotopy of topological groups and related structures
• 58 Global analysis, analysis on manifolds
• 58A General theory of differentiable manifolds
• 58B Infinite-dimensional manifolds
• 58C Calculus on manifolds; nonlinear operators
• 58D Spaces and manifolds of mappings
• 58E Variational problems in infinite-dimensional spaces
• 58H Pseudogroups, differentiable groupoids and general structures on manifolds
• 58J Partial differential equations on manifolds; differential operators
• 58K Theory of singularities and catastrophe theory
• 58Z05 Applications to physics
• 60 Probability theory and stochastic processes
• 60A Foundations of probability theory
• 60B Probability theory on algebraic and topological structures
• 60C05 Combinatorial probability
• 60D05 Geometric probability, stochastic geometry, random sets
• 60E Distribution theory
• 60F Limit theorems
• 60G Stochastic processes
• 60H Stochastic analysis
• 60J Markov processes
• 60K Special processes
• 62 Statistics
• 62A01 Foundational and philosophical topics
• 62B Sufficiency and information
• 62C Decision theory
• 62D05 Sampling theory, sample surveys
• 62E Distribution theory
• 62F Parametric inference
• 62G Nonparametric inference
• 62H Multivariate analysis
• 62J Linear inference, regression
• 62K Design of experiments
• 62L Sequential methods
• 62M Inference from stochastic processes
• 62N Survival analysis and censored data
• 62P Applications
• 62Q05 Statistical tables
• 65 Numerical analysis
• 65A05 Tables
• 65B Acceleration of convergence
• 65C Probabilistic methods, simulation and stochastic differential equations
• 65D Numerical approximation and computational geometry
• 65E05 Numerical methods in complex analysis (potential theory, etc.)
• 65F Numerical linear algebra
• 65G Error analysis and interval analysis
• 65H Nonlinear algebraic or transcendental equations
• 65J Numerical analysis in abstract spaces
• 65K Mathematical programming, optimization and variational techniques
• 65L Ordinary differential equations
• 65M Partial differential equations, initial value and time-dependent initial-boundary value problems
• 65N Partial differential equations, boundary value problems
• 65P Numerical problems in dynamical systems
• 65Q05 Difference and functional equations, recurrence relations
• 65R Integral equations, integral transforms
• 65S05 Graphical methods
• 65T Numerical methods in Fourier analysis
• 65Y Computer aspects of numerical algorithms
• 65Z05 Applications to physics
• 68 Computer science
• 68M Computer system organization
• 68N Software
• 68P Theory of data
• 68Q Theory of computing
• 68R Discrete mathematics in relation to computer science
• 68T Artificial intelligence
• 68U Computing methodologies and applications
• 68W Algorithms
• 70 Mechanics of particles and systems
• 70A05 Axiomatics, foundations
• 70B Kinematics
• 70C20 Statics
• 70E Dynamics of a rigid body and of multibody systems
• 70F Dynamics of a system of particles, including celestial mechanics
• 70G General models, approaches, and methods
• 70H Hamiltonian and Lagrangian mechanics
• 70J Linear vibration theory
• 70K Nonlinear dynamics
• 70L05 Random vibrations
• 70M20 Orbital mechanics
• 70P05 Variable mass, rockets
• 70Q05 Control of mechanical systems
• 70S Classical field theories
• 74 Mechanics of deformable solids
• 74A Generalities, axiomatics, foundations of continuum mechanics of solids
• 74B Elastic materials
• 74C Plastic materials, materials of stress-rate and internal-variable type
• 74D Materials of strain-rate type and history type, other materials with memory
• 74E Material properties given special treatment
• 74F Coupling of solid mechanics with other effects
• 74H Dynamical problems
• 74J Waves
• 74K Thin bodies, structures
• 74L Special subfields of solid mechanics
• 74M Special kinds of problems
• 74N Phase transformations in solids
• 74P Optimization
• 74Q Homogenization, determination of effective properties
• 74R Fracture and damage
• 74S Numerical methods
• 76 Fluid mechanics
• 76A Foundations, constitutive equations, rheolog
• 76B Incompressible inviscid fluids
• 76D Incompressible viscous fluids
• 76E Hydrodynamic stability
• 76F Turbulence
• 76G25 General aerodynamics and subsonic flows
• 76H05 Transonic flows
• 76J20 Supersonic flows
• 76K05 Hypersonic flows
• 76L05 Shock waves and blast waves
• 76M Basic methods in fluid mechanics
• 76N Compressible fluids and gas dynamics, general
• 76P05 Rarefied gas flows, Boltzmann equation
• 76Q05 Hydro- and aero-acoustics
• 76R Diffusion and convection
• 76S05 Flows in porous media; filtration; seepage
• 76T Two-phase and multiphase flows
• 76U05 Rotating fluids
• 76V05 Reaction effects in flows
• 76W05 Magnetohydrodynamics and electrohydrodynamics
• 76X05 Ionized gas flow in electromagnetic fields; plasmic flow
• 76Y05 Quantum hydrodynamics and relativistic hydrodynamics
• 76Z Biological fluid mechanics
• 78 Optics, electromagnetic theory
• 78A General
• 78M Basic methods
• 80 Classical thermodynamics, heat transfer
• 80A Thermodynamics and heat transfer
• 80M Basic methods
• 81 Quantum theory
• 81P Axiomatics, foundations, philosophy
• 81Q General mathematical topics and methods in quantum theory
• 81R Groups and algebras in quantum theory
• 81S General quantum mechanics and problems of quantization
• 81T Quantum field theory; related classical field theories
• 81U Scattering theory
• 81V Applications to specific physical systems
• 82 Statistical mechanics, structure of matter
• 82B Equilibrium statistical mechanics
• 82C Time-dependent statistical mechanics (dynamic and nonequilibrium)
• 82D Applications to specific types of physical systems
• 83 Relativity and gravitational theory
• 83A05 Special relativity
• 83B05 Observational and experimental questions
• 83C General relativity
• 83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
• 83E Unified, higher-dimensional and super field theories
• 83F05 Cosmology
• 85 Astronomy and astrophysics
• 86 Geophysics
• 90 Operations research, mathematical programming
• 90B Operations research and management science
• 90C Mathematical programming
• 91 Game theory, economics, social and behavioral sciences
• 91A Game theory
• 91B Mathematical economics
• 91C Social and behavioral sciences: general topics
• 91D Mathematical sociology
• 91E Mathematical psychology
• 91F Other social and behavioral sciences (mathematical treatment)
• 92 Biology and other natural sciences
• 92B Mathematical biology in general
• 92C Physiological, cellular and medical topics
• 92D Genetics and population dynamics
• 92E Chemistry
• 92F05 Other natural sciences
• 93 Systems Theory; Control
• 93A General
• 93B Controllability, observability, and system structure
• 93C Control systems, guided systems
• 93D Stability
• 93E Stochastic systems and control
• 94 Information And Communication, Circuits
• 94A Communication, information
• 94B Theory of error-correcting codes and error-detecting codes
• 94C Circuits, networks
• 94D05 Fuzzy sets and logic
• 97 Mathematics Education
• 97A General
• 97B Educational policy and educational systems
• 97C Psychology of and research in mathematics education
• 97D Education and instruction in mathematics
• 97U Educational material and media. Educational technology

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