Topics in mathematics
Topics in mathematicsStatisticsCalculus and analysisGeometryDiscrete mathematicsFoundationsBasicsAlgebraStatistics and probabilityApplied mathematicsFunctionsMathematicsTheoretical computer scienceFrom Lably lessonsNumber theoryOtherCounting and numbersGeometry and topologyApplied MathematicsGeneralAnalysisArithmeticProbability and statistics
A
- A History of Greek MathematicsBook by Thomas Little Heath
- A History of Pi1970 book by Petr Beckmann
- A Treatise on the Circle and the SphereA Treatise on the Circle and the Sphere is a mathematics book on circles, spheres, and inv
- AAC-LDThe MPEG-4 Low Delay Audio Coder (a.k.a. AAC Low Delay, or AAC-LD) is audio compression st
- ABACABA patternMathematical fractal pattern
- Abbas BahriAbbas Bahri (1 January 1955 – 10 January 2016) was a Tunisian mathematician. He was the wi
- Abe SklarAbe Sklar (November 25, 1925 – October 30, 2020) was an American mathematician and a profe
- Abel PrizeNorwegian international mathematics prize
- Abel–Jacobi mapConstruction in algebraic geometry
- Abel–Plana formulaSummation formula in Mathematics
- Abel–Ruffini theoremEquations of degree 5 or higher cannot be solved by radicals
- Abel's summation formulaIntegration by parts version of Abel's method for summation by parts
- Abel's theoremIn mathematics, Abel's theorem for power series relates a limit of a power series to the s
- Abelian and Tauberian theoremsUsed in the summation of divergent series
- Abelian categoryCategory with direct sums and certain types of kernels and cokernels
- Abelian integralGeneralization of elliptic integrals
- Abelian sandpile modelCellular automaton
- Abelian varietyProjective variety that is also an algebraic group
- Absolute continuityForm of continuity for functions
- Absolute differenceAbsolute value of (x - y), a metric
- Absolute Galois groupGalois group of the separable closure
- Absolute presentation of a groupIn mathematics, an absolute presentation is one method of defining a group.
- Absolutely convex setIn mathematics, a subset C of a real or complex vector space is said to be absolutely conv
- Absorbing Markov chainMarkov chain in which all states can be absorbing
- Absorbing setIn functional analysis and related areas of mathematics an absorbing set in a vector space
- Abstract differential equationIn mathematics, an abstract differential equation is a differential equation in which the
- Abstract simplicial complexMathematical object
- Abstraction (mathematics)Process of extracting the underlying essence of a mathematical concept
- Abu al-Wafa' al-BuzjaniPersian mathematician and astronomer (940–998)
- Abul Wáfa (crater)Abul Wafa is an impact crater located near the lunar equator on the far side of the Moon,
- AC (complexity)In circuit complexity, AC is a complexity class hierarchy. Each class, ACi, consists of th
- AC0Complexity class of bounded-depth circuits
- Accumulation pointCluster point in a topological space
- Actual and potential infinityConcept in the philosophy of mathematics
- Acute and obtuse trianglesTriangles without a right angle
- Adams spectral sequenceSpectral sequence
- Adaptive step sizeMethod in mathematics and numerical analysis
- Additive basisIn additive number theory, an additive basis is a set of natural numbers with the property
- Additive combinatoricsArea of combinatorics in mathematics
- Additive identityValue that makes no change when added
- Additive inverseNumber that, when added to the original number, yields the additive identity
- Additive number theoryStudy of subsets of integers and behavior under addition
- ADE classificationMathematical classification
- Adele ringConcept in number theory
- Adelic algebraic groupIn abstract algebra, an adelic algebraic group is a semitopological group defined by an al
- AdequalityMathematical procedure equivalent to differential calculus
- ADHM constructionMethod of constructing instanton solutions
- Adjacency listData structure representing a graph
- Adjoint representationMathematical term
- Adjunction formulaConcept in algebraic geometry
- Admissible representationClass of representations
- Affine arithmeticConcept in mathematics
- Affine connectionConstruct allowing differentiation of tangent vector fields of manifolds
- Affine Lie algebraType of Kac–Moody algebras
- Affine planeTwo-dimensional geometrical space
- Affine plane (incidence geometry)Axiomatically defined geometrical space
- Aggregated indices randomization methodIn applied mathematics and decision making, the aggregated indices randomization method (A
- Agoh–Giuga conjectureNumber theory conjecture
- Akima splineType of spline in applied mathematics
- Akshay VenkateshAustralian mathematician (born 1981)
- Al-FarghaniAbbasid astronomer (c. 800 – 870)
- Alain ConnesFrench mathematician (born 1947)
- Alan Baker (mathematician)English mathematician (1939–2018)
- Alan EdelmanAlan Stuart Edelman (born June 1963) is an American mathematician and computer scientist.
- Albanese varietyGeneralisation of Jacobian variety
- Albert Charles SchaefferAlbert Charles Schaeffer (13 August 1907, Belvidere, Illinois – 2 February 1957) was an Am
- Albert FathiEgyptian-French mathematician
- Albert MardenAlbert Marden (born 18 November 1934) is an American mathematician, specializing in comple
- Alessandro Marchetti (mathematician)Alessandro Marchetti (17 March 1633 – 6 September 1714) was an Italian mathematician, note
- Alessio FigalliItalian mathematician (born 1984)
- Alexander BeilinsonRussian-American mathematician
- Alexander–Spanier cohomologyCohomology theory for topological spaces
- Alexander's theoremIn mathematics Alexander's theorem states that every knot or link can be represented as a
- Alexandrov's theorem on polyhedraPolyhedra are determined by surface distance
- Alfraganus (crater)Alfraganus is a small lunar impact crater that lies in the rugged highland region to the s
- Alfred KempeSir Alfred Bray Kempe FRS (6 July 1849 – 21 April 1922) was a mathematician best known for
- Alfréd RényiAlfréd Rényi (20 March 1921 – 1 February 1970) was a Hungarian mathematician known for his
- Álgebra de Baldor1941 mathematics book
- Algebra of setsIdentities and relationships involving sets
- Algebra representationStudy of abstract algebraic structures
- Algebraic closureAlgebraic field extension
- Algebraic curveCurve defined as zeros of polynomials
- Algebraic cycleIn mathematics, an algebraic cycle on an algebraic variety V is a formal linear combinatio
- Algebraic extensionExtension of a mathematical field with polynomial roots
- Algebraic Geometry (book)Influential textbook about algebraic geometry, written by Robin Hartshorne
- Algebraic geometry and analytic geometryTwo closely related mathematical subjects
- Algebraic geometry of projective spacesThe concept of a projective space plays a central role in algebraic geometry. This article
- Algebraic graph theoryBranch of mathematics
- Algebraic groupAlgebraic variety with a group structure
- Algebraic integerComplex number that solves a monic polynomial with integer coefficients
- Algebraic K-theorySubject area in mathematics
- Algebraic logicReasoning about equations with free variables
- Algebraic modeling languageType of programming language
- Algebraic operationMathematical operation
- Algebraic signal processingAlgebraic signal processing (ASP) is an emerging area of theoretical signal processing (SP
- Algebraic spaceGeneralization of a scheme
- Algebraic stackGeneralization of algebraic spaces or schemes
- Algebraic surfaceAlgebraic variety of dimension two
- Algebraic torusSpecific algebraic group
- Algebraically closed fieldAlgebraic structure where all polynomials have roots
- Algorithms for calculating varianceImportant algorithms in numerical statistics
- Alison MillerAlison Beth Miller is an American mathematician who was the first American female gold med
- Almost allIn mathematics, with negligible exceptions
- Almost complex manifoldSmooth manifold
- Almost everywhereEverywhere except a set of measure zero
- Almost periodic functionFunction that "converges" to periodicity
- Alphabet (formal languages)Base set of symbols with which a language is formed
- Alternating finite automatonIn automata theory, an alternating finite automaton (AFA) is a nondeterministic finite aut
- Alternating knotIn knot theory, a knot or link diagram is alternating if the crossings alternate under, ov
- Alternating permutationType of permutation
- Alternating polynomialIn algebra, an alternating polynomial is a polynomial such that if one switches any two of
- Alternating Turing machineIn computational complexity theory, an alternating Turing machine (ATM) is a non-determini
- Alternating-direction implicit methodIterative method for solving the Sylvester matrix equations
- Altitude (triangle)Perpendicular line segment from a triangle's side to opposite vertex
- AM–GM inequalityArithmetic mean is greater than or equal to geometric mean
- Amenable groupLocally compact topological group with an invariant averaging operation
- American Institute of MathematicsMathematical institute in the United States
- American Mathematical SocietyAssociation of professional mathematicians
- Ample line bundleConcept in algebraic geometry
- Anabelian geometryAnabelian geometry is a theory in number theory which describes the way in which the algeb
- Analytic continuationExtension of the domain of an analytic function (mathematics)
- Analytic network processMathematical decision making technique similar to Analytic Hierarchy Process
- Analytic setConcept in descriptive set theory (mathematics)
- Analytical hierarchyConcept in mathematical logic and set theory
- Analyticity of holomorphic functionsTheorem in complex analysis
- Ancestral graphIn statistics and Markov modeling, an ancestral graph is a type of mixed graph used to pro
- Ancient Egyptian mathematicsMathematics used in Ancient Egypt
- Ancient Greek mathematicsMathematics of Ancient Greece and the Mediterranean, 5th BC to 6th AD
- Ancillary statisticStatistic whose sampling distribution does not depend on the parameter
- Anderson–Darling testStatistical test
- Angela SpalsburyAngela Sue Spalsbury (born 1967) is an American mathematician specializing in functional a
- Angle of parallelismAngle in certain right triangles in the hyperbolic plane
- Angle trisectionConstruction of an angle equal to one third a given angle
- Angles between flatsConcept in geometry
- Angular distanceAngle between the two sightlines or two objects as viewed from an observer
- Annals of MathematicsAcademic journal in mathematics
- Anonymous Commentary on Plato's TheaetetusAnonymous commentary on a work of Plato
- AnsatzInitial estimate or framework to the solution of a mathematical problem
- Antiderivative (complex analysis)Concept in complex analysis
- AntimatroidMathematical system of orderings or sets
- AntithesisTopic in philosophy; something that is the opposite of something else
- Antoni ZygmundPolish-American mathematician (1900–1992)
- Antonio FaisItalian mathematician and railway engineer (1841–1925)
- ApeirogonPolygon with an infinite number of sides
- Aperiodic tilingForm of plane tiling without repeats at scale
- Apéry's constantSum of the inverses of the positive cubes
- Apéry's theoremSum of the inverses of the positive integers cubed is irrational
- Apollonian circlesCircles in two perpendicular families
- Appell sequenceType of polynomial sequence
- Approximation errorMathematical concept
- Approximation in algebraic groupsIn algebraic group theory, approximation theorems are an extension of the Chinese remainde
- Approximation propertyMathematical concept
- Approximations of piVarying methods used to calculate pi
- Arakelov theoryMathematical theory
- ArbelosPlane region bounded by three semicircles
- ArboricityThe arboricity of an undirected graph is the minimum number of forests into which its edge
- Archimedean solidPolyhedra in which all vertices are the same
- Archimedes PalimpsestGreek parchment codex manuscript
- Area of a circleConcept in geometry
- Area sampling frameAn area sampling frame is an alternative to the most traditional type of sampling frames.
- Argument (complex analysis)Angle of complex number about real axis
- Argument principleTheorem in complex analysis
- Arithmetic combinatoricsMathematical subject
- Arithmetic dynamicsField of mathematics
- Arithmetic geometryBranch of algebraic geometry
- Arithmetic groupType of group in group theory
- Arithmetic hyperbolic 3-manifoldIn mathematics, more precisely in group theory and hyperbolic geometry, Arithmetic Kleinia
- Arithmetic topologyArea of mathematics
- Arithmetic–geometric meanMathematical function of two positive real arguments
- Arithmetical hierarchyHierarchy of complexity classes for formulas defining sets
- Arithmetical setMathematical concept
- ArityNumber of arguments required by a function
- Armenian numeralsArmenian numerals form a historic numeral system created using the majuscules (uppercase l
- Arnaud DenjoyArnaud Denjoy (French: ; 5 January 1884 – 21 January 1974) was a French mathematician.
- Arnold tongueStructurally stable features in coupled oscillation dynamical systems.
- Arnold WalfiszArnold Walfisz (2 July 1892 – 29 May 1962) was a Jewish-Polish mathematician working in an
- Arrangement of linesSubdivision of the plane by lines
- Ars Conjectandi1713 book on probability and combinatorics by Jacob Bernoulli
- Ars Magna (Cardano book)1545 text on mathematics by Gerolamo Cardano
- Arthur–Merlin protocolInteractive proof system in computational complexity theory
- Arthur–Selberg trace formulaIn mathematics, the Arthur–Selberg trace formula is a generalization of the Selberg trace
- Artin L-functionType of Dirichlet series associated to number field extensions
- Artin reciprocityMathematical theorem
- Artin transfer (group theory)In the mathematical field of group theory, an Artin transfer is a certain homomorphism fro
- Artin's conjecture on primitive rootsConjecture in number theory
- Artinian moduleIn mathematics, specifically abstract algebra, an Artinian module is a module that satisfi
- Artinian ringRing in abstract algebra
- Aryeh DvoretzkyIsraeli mathematician (1916–2008)
- Arzelà–Ascoli theoremOn when a family of real, continuous functions has a uniformly convergent subsequence
- Aspect ratioAttribute of a geometric shape
- Associated bundleFiber bundle
- Associated Legendre polynomialsCanonical solutions of the general Legendre equation
- Association for Women in MathematicsAmerican professional society
- Association of European Operational Research SocietiesThe Association of European Operational Research Societies (EURO) is a regional grouping w
- Association schemeTheory in statistics
- Associative algebraRing that is also a vector space or a module
- AssortativityTendency for similar nodes to be connected
- Asymmetric normIn mathematics, an asymmetric norm on a vector space is a generalization of the concept of
- Asymptotic equipartition propertyTopic in mathematics
- Asymptotic expansionSeries of functions in mathematics
- Atan2Arctangent function with two arguments
- Athene (research center)49°52′17″N 8°38′10″E / 49.8713934°N 8.636106°E
- Atiyah–Bott fixed-point theoremFixed-point theorem for smooth manifolds
- Atiyah–Singer index theoremMathematical result in differential geometry
- Atlas (topology)Set of charts that describes a manifold
- Atle SelbergNorwegian mathematician (1917–2007)
- Atomic sentenceTerm in logic
- Automorphic formType of generalization of periodic functions in Euclidean space
- Automorphic numberNumber whose square ends in the same digits
- AutomorphismIsomorphism of an object to itself
- Autonomous system (mathematics)Concept in mathematics
- Average absolute deviationSummary statistic of variability
- Ax–Grothendieck theoremInjective polynomial functions are bijective
- Axiom (computer algebra system)Axiom is a free, general-purpose computer algebra system. It consists of an interpreter en
- Axiom of countable choiceConcept in mathematics
- Axiom of dependent choiceWeak form of the axiom of choice
- Axiom of determinacyPossible axiom for set theory
- Axiom of global choiceIn mathematics, specifically in class theories, the axiom of global choice is a stronger v
- Axiom of limitation of sizePossible axiom of set theory
- Axiom schemaTemplate that specifies one or more axioms
- Axonometric projectionAxonometric projection is a type of orthographic projection used for creating a pictorial
- AxonometryProcess of projecting a 3D object onto a 2D plane
- AzimuthHorizontal angle from north or other reference cardinal direction
- Azuma's inequalityIn probability theory, the Azuma–Hoeffding inequality (named after Kazuoki Azuma and Wassi
- Azumaya algebraIn mathematics, an Azumaya algebra is a generalization of central simple algebras to -alge

