Glossary of areas of mathematics
https://en.wikipedia.org/wiki/Areas_of_mathematics https://en.wikipedia.org/wiki/Glossary_of_areas_of_mathematics
field must be one of: general (information about mathematics not related to a particular field) basics (elementary material and terms used throughout mathematics) analysis algebra geometry applied probability and statistics number theory discrete foundations (logic and set theory) mathematical physics topology history (see the "historical" parameter below) mathematicians
https://siam.org/membership/activity-groups https://bookstore.ams.org/browse#Textbook?all?all?page=0 https://www.cambridge.org/gb/academic https://www.springer.com/gp/mathematics?countryChanged=true https://mathoverflow.net/tags
https://en.wikipedia.org/wiki/Wikipedia:WikiProject_Mathematics/Wikipedia_1.0/Fields https://en.wikipedia.org/wiki/Wikipedia:Vital_articles#Mathematics_(52_articles) https://en.wikipedia.org/wiki/Category:Mathematics_articles_by_field https://en.wikipedia.org/w/index.php?title=Talk:Areas_of_mathematics https://en.wikipedia.org/wiki/Category:Vital_mathematics_articles https://en.wikipedia.org/wiki/Category:WikiProject_Mathematics_articles https://en.wikipedia.org/wiki/Wikipedia:Vital_articles https://en.wikipedia.org/wiki/Category:Featured_articles_on_Mathematics_Portal https://en.wikipedia.org/wiki/Category:Unassessed_field_mathematics_articles https://en.wikipedia.org/wiki/Portal:Mathematics#Topics_in_Mathematics https://en.wikipedia.org/wiki/Wikipedia:Version_1.0_Editorial_Team/Core_topics#Mathematics https://en.wikipedia.org/wiki/Wikipedia:WikiProject_Mathematics/Wikipedia_1.0/Fields https://en.wikipedia.org/wiki/Wikipedia:Version_1.0_Editorial_Team/Mathematics_articles_by_quality https://en.wikipedia.org/wiki/Category:Mathematics_articles_by_quality https://en.wikipedia.org/wiki/Category:Mathematics_articles_by_priority https://en.wikipedia.org/wiki/Category:Mathematics_articles_by_field https://en.wikipedia.org/wiki/Category:Vital_mathematics_articles https://en.wikipedia.org/w/index.php?title=Talk:Areas_of_mathematics https://en.wikipedia.org/w/index.php?title=Talk:Peano_axioms https://en.wikipedia.org/wiki/Glossary_of_areas_of_mathematics https://en.wikipedia.org/wiki/Areas_of_mathematics https://arxiv.org/archive/math https://en.wikipedia.org/wiki/International_Mathematical_Union https://www.mathunion.org/activities/icm/icm-2010-program-structure/ http://portal.acm.org/ccs.cfm?part=author&coll=portal&dl=GUIDE https://mathoverflow.net/tags https://www.springer.com/gp/mathematics?countryChanged=true https://www.cambridge.org/gb/academic https://bookstore.ams.org/browse#Textbook?all?all?page=0 https://en.wikipedia.org/wiki/Category:Mathematics https://siam.org/membership/activity-groups
https://arxiv.org/archive/math
Categories within Mathematics math.AG - Algebraic Geometry (new, recent, current month) Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology math.AT - Algebraic Topology (new, recent, current month) Homotopy theory, homological algebra, algebraic treatments of manifolds math.AP - Analysis of PDEs (new, recent, current month) Existence and uniqueness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDE's, conservation laws, qualitative dynamics math.CT - Category Theory (new, recent, current month) Enriched categories, topoi, abelian categories, monoidal categories, homological algebra math.CA - Classical Analysis and ODEs (new, recent, current month) Special functions, orthogonal polynomials, harmonic analysis, ODE's, differential relations, calculus of variations, approximations, expansions, asymptotics math.CO - Combinatorics (new, recent, current month) Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory math.AC - Commutative Algebra (new, recent, current month) Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics math.CV - Complex Variables (new, recent, current month) Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves math.DG - Differential Geometry (new, recent, current month) Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis math.DS - Dynamical Systems (new, recent, current month) Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations math.FA - Functional Analysis (new, recent, current month) Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory math.GM - General Mathematics (new, recent, current month) Mathematical material of general interest, topics not covered elsewhere math.GN - General Topology (new, recent, current month) Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties math.GT - Geometric Topology (new, recent, current month) Manifolds, orbifolds, polyhedra, cell complexes, foliations, geometric structures math.GR - Group Theory (new, recent, current month) Finite groups, topological groups, representation theory, cohomology, classification and structure math.HO - History and Overview (new, recent, current month) Biographies, philosophy of mathematics, mathematics education, recreational mathematics, communication of mathematics math.IT - Information Theory (new, recent, current month) math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding. math.KT - K-Theory and Homology (new, recent, current month) Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras math.LO - Logic (new, recent, current month) Logic, set theory, point-set topology, formal mathematics math.MP - Mathematical Physics (new, recent, current month) math.MP is an alias for math-ph. Mathematical methods in quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics. math.MG - Metric Geometry (new, recent, current month) Euclidean, hyperbolic, discrete, convex, coarse geometry, comparisons in Riemannian geometry, symmetric spaces math.NT - Number Theory (new, recent, current month) Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory math.NA - Numerical Analysis (new, recent, current month) Numerical algorithms for problems in analysis and algebra, scientific computation math.OA - Operator Algebras (new, recent, current month) Algebras of operators on Hilbert space, C^*-algebras, von Neumann algebras, non-commutative geometry math.OC - Optimization and Control (new, recent, current month) Operations research, linear programming, control theory, systems theory, optimal control, game theory math.PR - Probability (new, recent, current month) Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory math.QA - Quantum Algebra (new, recent, current month) Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory math.RT - Representation Theory (new, recent, current month) Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra math.RA - Rings and Algebras (new, recent, current month) Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups math.SP - Spectral Theory (new, recent, current month) Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices math.ST - Statistics Theory (new, recent, current month) Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies math.SG - Symplectic Geometry (new, recent, current month) Hamiltonian systems, symplectic flows, classical integrable systems About arXiv
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