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Handwiki math.svg Mathematics

Mathematics (from Greek "knowledge, study, learning") includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis).     [Add article].



List of Categories

0

Main topics

  1. 0 (number)
  2. 1 (number)
  3. 10 (number)
  4. 2 (number)
  5. 3 (number)
  6. 3-manifolds
  7. 4 (number)
  8. 5 (number)
  9. 6 (number)
  10. 7 (number)
  11. 8 (number)
  12. 9 (number)
  13. Abelian varieties
  14. Additive combinatorics
  15. Adjoint functors
  16. Amount of substance
  17. Analysis of algorithms
  18. Analysis of variance
  19. Analytic functions
  20. Apeirogonal tilings
  21. Applied mathematics
  22. Approximation algorithms
  23. Approximations
  24. Argument mapping
  25. Arithmetic
  26. Arithmetic functions
  27. Articles containing proofs
  28. Asymptotic analysis
  29. Automorphic forms
  30. Axiom of choice
  31. Banach spaces
  32. Bayesian estimation
  33. Bayesian inference
  34. Behavior selection algorithms
  35. Bilinear operators
  36. Binary arithmetic
  37. Binary operations
  38. Binary relations
  39. Boundary conditions
  40. Cache coherency
  41. Cardinal numbers
  42. Causal diagrams
  43. Chaotic maps
  44. Classes of prime numbers
  45. Classification algorithms
  46. Closure operators
  47. Clustering criteria
  48. Combinatorial algorithms
  49. Combinatorial optimization
  50. Combinatorics
  51. Compactness (mathematics)
  52. Complex analysis
  53. Complex dynamics
  54. Complex manifolds
  55. Complex numbers
  56. Complex surfaces
  57. Computational fields of study
  58. Computer arithmetic
  59. Conceptual modelling
  60. Conditionals
  61. Conformal mapping
  62. Conformal projections
  63. Conic sections
  64. Conjectures
  65. Conjugate prior distributions
  66. Connection (mathematics)
  67. Conservation equations
  68. Constructivism (mathematics)
  69. Continued fractions
  70. Continuous distributions
  71. Continuous integration
  72. Continuous mappings
  73. Continuous wavelets
  74. Convergence (mathematics)
  75. Convex analysis
  76. Convex hull algorithms
  77. Convex optimization
  78. Coordinate systems
  79. Covariance and correlation
  80. Covering lemmas
  81. Curvature (mathematics)
  82. Cyclotomic fields
  83. Decomposition methods
  84. Definitions of mathematical integration
  85. Design of experiments
  86. Determinants
  87. Deterministic global optimization
  88. Dichotomies
  89. Differential calculus
  90. Differential equations
  91. Differential forms
  92. Differential operators
  93. Differential systems
  94. Differentiation rules
  95. Digit-by-digit algorithms
  96. Dimension reduction
  97. Dimensionless numbers
  98. Diophantine approximation
  99. Diophantine equations
  100. Directed graphs
  101. Discrete distributions
  102. Discrete mathematics
  103. Discrete transforms
  104. Divergent series
  105. Division (mathematics)
  106. Divisor function
  107. Dynamical systems
  108. E (mathematical constant)
  109. Educational technology
  110. Elementary arithmetic
  111. Elementary mathematics
  112. Elementary shapes
  113. Elementary special functions
  114. Elliptic curves
  115. Elliptic functions
  116. Elliptic partial differential equations
  117. Enumerative combinatorics
  118. Equal-area projections
  119. Equations of fluid dynamics
  120. Equivalence (mathematics)
  121. Error detection and correction
  122. Errors and residuals
  123. Estimation of densities
  124. Euclidean symmetries
  125. Euclidean tilings
  126. Exchange algorithms
  127. Exponential family distributions
  128. Exponentials
  129. Factor analysis
  130. Factorial and binomial topics
  131. Fibonacci numbers
  132. Fields of mathematics
  133. Finite automata
  134. Finite differences
  135. Finite element method
  136. Finite fields
  137. Finite rings
  138. First order methods
  139. Fixed points (mathematics)
  140. Forcing (mathematics)
  141. Formal sciences
  142. Formal systems
  143. Fourier analysis
  144. Fourier series
  145. Fractal curves
  146. Fractional calculus
  147. Fractions (mathematics)
  148. Frequency distribution
  149. Fréchet spaces
  150. Functional analysis
  151. Functional equations
  152. Functions and mappings
  153. Fuzzy logic
  154. Gambling terminology
  155. Gamma and related functions
  156. Gaussian function
  157. Gaussian quadratures
  158. Generalizations
  159. Generalizations of the derivative
  160. Generalized functions
  161. Generalized manifolds
  162. Generating functions
  163. Geodesic (mathematics)
  164. Glossaries of mathematics
  165. Glossary of areas of mathematics
  166. Golden ratio
  167. Gradient methods
  168. Graph algorithms
  169. Graph coloring
  170. Graph connectivity
  171. Graph data structures
  172. Graph drawing
  173. Graph enumeration
  174. Graph families
  175. Graph invariants
  176. Graph operations
  177. Graphical projections
  178. Hamiltonian paths and cycles
  179. Harmonic analysis
  180. Harmonic functions
  181. Heraldic charges
  182. Hexadecimal numeral system
  183. Hexagonal tilings
  184. Hierarchy of functions
  185. Higher-order functions
  186. Hilbert space
  187. Hilbert's problems
  188. Historical treatment of quaternions
  189. Homogeneous polynomials
  190. Homogeneous spaces
  191. Horizontal coordinate system
  192. Hyperbolic partial differential equations
  193. Hyperbolic tilings
  194. Hypercomplex numbers
  195. Hypotheses
  196. Immediate inference
  197. Individual graphs
  198. Inequalities
  199. Infinite-order tilings
  200. Information
  201. Integer factorization algorithms
  202. Integer sequences
  203. Integrable systems
  204. Integral calculus
  205. Integral equations
  206. Integral representations
  207. Integral transforms
  208. Integration on manifolds
  209. International System of Units
  210. Interpolation
  211. Intersection classes of graphs
  212. Invariant subspaces
  213. Inverse functions
  214. Irrational numbers
  215. Isochoric 3-honeycombs
  216. Isogonal 3-honeycombs
  217. Isogonal tilings
  218. Isohedral tilings
  219. Isotoxal tilings
  220. Knot invariants
  221. Knots and links
  222. Knowledge representation
  223. Lambda calculus
  224. Large cardinals
  225. Large integers
  226. Large numbers
  227. Lattice points
  228. Legendre polynomials
  229. Limit sets
  230. Limits (mathematics)
  231. Linear operators
  232. Linear operators in calculus
  233. Lists of integrals
  234. Lists of units of measurement
  235. Localization (mathematics)
  236. Logarithms
  237. Logic symbols
  238. Logical connectives
  239. Logical expressions
  240. Lorentzian manifolds
  241. Loss functions
  242. Lévy processes
  243. Map projections
  244. Maps of manifolds
  245. Markov chain Monte Carlo
  246. Markov models
  247. Markov processes
  248. Mathematical analysis
  249. Mathematical and quantitative methods (economics)
  250. Mathematical axioms
  251. Mathematical chemistry
  252. Mathematical concepts
  253. Mathematical constants
  254. Mathematical economics
  255. Mathematical identities
  256. Mathematical induction
  257. Mathematical logic
  258. Mathematical methods in general relativity
  259. Mathematical modeling
  260. Mathematical morphology
  261. Mathematical notation
  262. Mathematical optimization
  263. Mathematical physics
  264. Mathematical principles
  265. Mathematical problems
  266. Mathematical proofs
  267. Mathematical relations
  268. Mathematical series
  269. Mathematical structures
  270. Mathematical symbols
  271. Mathematical tables
  272. Mathematical terminology
  273. Mathematical tools
  274. Mathematics
  275. Mathematics of infinitesimals
  276. Mathematics of rigidity
  277. Mathematics paradoxes
  278. Mathematics timelines
  279. Mathematics-related lists
  280. Matrix decompositions
  281. Matrix normal forms
  282. Measures of complexity
  283. Metric tensors
  284. Minimal surfaces
  285. Minkowski spacetime
  286. Modular arithmetic
  287. Modular forms
  288. Moment (mathematics)
  289. Monte Carlo methods
  290. Multiplication
  291. Multivariable calculus
  292. Multivariate continuous distributions
  293. Multivariate interpolation
  294. Necessity and sufficiency
  295. Non-Newtonian calculus
  296. Non-standard analysis
  297. Nonlinear functional analysis
  298. Nonlinear systems
  299. Normal distribution
  300. Norms (mathematics)
  301. Numeral systems
  302. Numerical analysis
  303. Numerical differential equations
  304. Numerical function drawing
  305. Numerical integration
  306. Obfuscation
  307. Operations research
  308. Optimal decisions
  309. Optimization algorithms and methods
  310. Optimization in vector spaces
  311. Order-4-n 3-honeycombs
  312. Order-5 tilings
  313. Order-6 tilings
  314. Order-n-5 3-honeycombs
  315. Ordinal numbers
  316. Ordinary differential equations
  317. Orthogonal coordinate systems
  318. Orthogonal polynomials
  319. Orthogonal wavelets
  320. Oscillation
  321. Parabolic partial differential equations
  322. Paradoxes of infinity
  323. Parametric families of graphs
  324. Parity (mathematics)
  325. Partial differential equations
  326. Pentagonal tilings
  327. Pentagrammic-order tilings
  328. Perfect graphs
  329. Permutations
  330. Planar graphs
  331. Point processes
  332. Poisson distribution
  333. Poisson point processes
  334. Polynomial functions
  335. Polynomials
  336. Positional numeral systems
  337. Prime numbers
  338. Problem structuring methods
  339. Propositional calculus
  340. Pseudorandomness
  341. Quadratic forms
  342. Quadratic irrational numbers
  343. Quadratic residue
  344. Quadrilaterals
  345. Quality control tools
  346. Quantification
  347. Quasiregular polyhedra
  348. Quaternions
  349. Quotient objects
  350. Random graphs
  351. Random matrices
  352. Randomized algorithms
  353. Rational numbers
  354. Real analysis
  355. Real closed field
  356. Real numbers
  357. Real transcendental numbers
  358. Recurrence relations
  359. Regression analysis
  360. Regular 3-honeycombs
  361. Regular graphs
  362. Regular tilings
  363. Riemann surfaces
  364. Riemannian manifolds
  365. Root-finding algorithms
  366. Rotation in three dimensions
  367. Rotational symmetry
  368. Rules of inference
  369. Runge–Kutta methods
  370. Scaling symmetries
  371. Scientific method
  372. Self-dual polyhedra
  373. Self-dual tilings
  374. Self-organization
  375. Semiregular tilings
  376. Separation axioms
  377. Sequence spaces
  378. Sequences and series
  379. Series expansions
  380. Set families
  381. Set indices on mathematics
  382. Sets of real numbers
  383. Several complex variables
  384. Shift-and-add algorithms
  385. Simplicial sets
  386. Singular integrals
  387. Singular value decomposition
  388. Smooth functions
  389. Smooth manifolds
  390. Snub tilings
  391. Sobolev spaces
  392. Sources of knowledge
  393. Spanning tree
  394. Sparse matrices
  395. Spatial data analysis
  396. Spatial gradient
  397. Spatial processes
  398. Special functions
  399. Spectral sequences
  400. Spherical trigonometry
  401. Splines (mathematics)
  402. Square tilings
  403. Stable distributions
  404. Stochastic calculus
  405. Stochastic differential equations
  406. Stochastic models
  407. Stochastic processes
  408. Strongly regular graphs
  409. Structural analysis
  410. Structures on manifolds
  411. Summability methods
  412. Survival analysis
  413. Symmetric functions
  414. Symmetric relations
  415. Tensors in general relativity
  416. Ternary operations
  417. Three-dimensional coordinate systems
  418. Time domain analysis
  419. Time in science
  420. Transcendental numbers
  421. Transformation (function)
  422. Transforms
  423. Transitive relations
  424. Triangular tilings
  425. Trigonometric functions
  426. Trigonometry
  427. Truncated tilings
  428. Types of databases
  429. Types of functions
  430. Unary operations
  431. Undecidable conjectures
  432. Unification (computer science)
  433. Uniform spaces
  434. Uniform tilings
  435. Unitary operators
  436. Units of area
  437. Units of energy
  438. Units of luminous intensity
  439. Units of plane angle
  440. Units of power
  441. Units of temperature
  442. Unsolved problems in mathematics
  443. Variants of random walks
  444. Variational analysis
  445. Variational principles
  446. Vector bundles
  447. Vector calculus
  448. Vector spaces
  449. Vectors (mathematics and physics)
  450. Vertical position
  451. Wiener process
  452. Zeta and L-functions

Theorems

  1. Automated theorem proving
  2. Central limit theorem
  3. Compactness theorems
  4. Fixed-point theorems
  5. Fundamental theorems
  6. Mathematical theorems
  7. Probability theorems
  8. Statistical mechanics theorems
  9. Statistical theorems
  10. Theorems about prime numbers
  11. Theorems in Fourier analysis
  12. Theorems in abstract algebra
  13. Theorems in algebra
  14. Theorems in algebraic geometry
  15. Theorems in algebraic number theory
  16. Theorems in algebraic topology
  17. Theorems in analysis
  18. Theorems in analytic number theory
  19. Theorems in approximation theory
  20. Theorems in calculus
  21. Theorems in combinatorics
  22. Theorems in complex analysis
  23. Theorems in complex geometry
  24. Theorems in computational complexity theory
  25. Theorems in convex geometry
  26. Theorems in differential geometry
  27. Theorems in differential topology
  28. Theorems in discrete geometry
  29. Theorems in discrete mathematics
  30. Theorems in functional analysis
  31. Theorems in geometry
  32. Theorems in graph theory
  33. Theorems in group theory
  34. Theorems in harmonic analysis
  35. Theorems in linear algebra
  36. Theorems in measure theory
  37. Theorems in number theory
  38. Theorems in plane geometry
  39. Theorems in projective geometry
  40. Theorems in real analysis
  41. Theorems in representation theory
  42. Theorems in the foundations of mathematics
  43. Theorems in topology

Theories

  1. Abelian group theory
  2. Additive number theory
  3. Algebraic K-theory
  4. Algebraic graph theory
  5. Algebraic number theory
  6. Analytic number theory
  7. Approximation theory
  8. Asymptotic theory (statistics)
  9. Axioms of set theory
  10. Basic concepts in infinite set theory
  11. Basic concepts in set theory
  12. Category theory
  13. Chaos theory
  14. Class field theory
  15. Classical control theory
  16. Coding theory
  17. Complex systems theory
  18. Computability theory
  19. Computational problems in graph theory
  20. Conformal field theory
  21. Continuum theory
  22. Descriptive set theory
  23. Dimension theory
  24. Elementary number theory
  25. Ergodic theory
  26. Estimation theory
  27. Experiment (probability theory)
  28. Extremal graph theory
  29. Field theory
  30. Galois theory
  31. Game theory
  32. Geometric graph theory
  33. Geometric group theory
  34. Graph minor theory
  35. Graph theory
  36. Graph theory objects
  37. Group theory
  38. Higher category theory
  39. Homology theory
  40. Homotopy theory
  41. Independence (probability theory)
  42. Infinite group theory
  43. Information theory
  44. Inner model theory
  45. Intersection theory
  46. Invariant theory
  47. Knot theory
  48. Large deviations theory
  49. Lattice theory
  50. Limits (category theory)
  51. Martingale theory
  52. Matrix theory
  53. Matroid theory
  54. Measure theory
  55. Measures (measure theory)
  56. Metatheory
  57. Model theory
  58. Module theory
  59. Network theory
  60. Number theory
  61. Objects (category theory)
  62. Operator theory
  63. Order theory
  64. Paradoxes of set theory
  65. Perturbation theory
  66. Probability theory
  67. Probability theory paradoxes
  68. Quantum information theory
  69. Queueing theory
  70. Ramsey theory
  71. Representation theory
  72. Representation theory of Lie algebras
  73. Representation theory of Lie groups
  74. Representation theory of finite groups
  75. Representation theory of groups
  76. Ring theory
  77. Scheme theory
  78. Semigroup theory
  79. Set theory
  80. Sheaf theory
  81. Singularity theory
  82. Spectral theory
  83. Squares in number theory
  84. Stability theory
  85. Statistical theory
  86. String theory
  87. Structural complexity theory
  88. Summability theory
  89. Systems of set theory
  90. Systems theory
  91. Theorems in algebraic number theory
  92. Theorems in analytic number theory
  93. Theorems in approximation theory
  94. Theorems in computational complexity theory
  95. Theorems in graph theory
  96. Theorems in group theory
  97. Theorems in measure theory
  98. Theorems in number theory
  99. Theorems in representation theory
  100. Theory of computation
  101. Theory of probability distributions
  102. Topological graph theory
  103. Topos theory
  104. Trees (graph theory)
  105. Type theory
  106. Unitary representation theory

Algebra

  1. Abstract algebra
  2. Algebra of random variables
  3. Algebraic K-theory
  4. Algebraic combinatorics
  5. Algebraic curves
  6. Algebraic geometry
  7. Algebraic graph theory
  8. Algebraic groups
  9. Algebraic homogeneous spaces
  10. Algebraic logic
  11. Algebraic number theory
  12. Algebraic numbers
  13. Algebraic structures
  14. Algebraic surfaces
  15. Algebraic topology
  16. Algebraic varieties
  17. Banach algebras
  18. Boolean algebra
  19. C-algebras
  20. Clifford algebras
  21. Commutative algebra
  22. Composition algebras
  23. Computer algebra
  24. Diagram algebras
  25. Differential algebra
  26. Elementary algebra
  27. Exceptional Lie algebras
  28. Free algebraic structures
  29. Geometric algebra
  30. Homological algebra
  31. Hopf algebras
  32. Lie algebras
  33. Linear algebra
  34. Linear algebraic groups
  35. Multilinear algebra
  36. Non-associative algebra
  37. Non-associative algebras
  38. Nonlinear algebra
  39. Numerical linear algebra
  40. Ockham algebras
  41. Operator algebras
  42. Real algebraic geometry
  43. Representation theory of Lie algebras
  44. Theorems in abstract algebra
  45. Theorems in algebra
  46. Theorems in algebraic geometry
  47. Theorems in algebraic number theory
  48. Theorems in algebraic topology
  49. Theorems in linear algebra
  50. Topological methods of algebraic geometry
  51. Universal algebra
  52. Von Neumann algebras

Statistics

  1. Applied probability
  2. Asymptotic theory (statistics)
  3. Bayesian statistics
  4. Computational statistics
  5. Directional statistics
  6. Experiment (probability theory)
  7. Functions related to probability distributions
  8. Independence (probability theory)
  9. Infinitely divisible probability distributions
  10. Location-scale family probability distributions
  11. Logic and statistics
  12. Multivariate statistics
  13. Nonparametric statistics
  14. Parametric statistics
  15. Probabilistic arguments
  16. Probabilistic inequalities
  17. Probability
  18. Probability and statistics
  19. Probability assessment
  20. Probability fallacies
  21. Probability interpretations
  22. Probability problems
  23. Probability theorems
  24. Probability theory
  25. Probability theory paradoxes
  26. Robust statistics
  27. Sampling (statistics)
  28. Statistical algorithms
  29. Statistical approximations
  30. Statistical data types
  31. Statistical deviation and dispersion
  32. Statistical hypothesis testing
  33. Statistical inference
  34. Statistical mechanics theorems
  35. Statistical methods
  36. Statistical paradoxes
  37. Statistical parameters
  38. Statistical randomness
  39. Statistical ratios
  40. Statistical theorems
  41. Statistical theory
  42. Statistics
  43. Statistics-related lists
  44. Summary statistics
  45. Theory of probability distributions
  46. Types of probability distributions

Geometry

  1. Affine geometry
  2. Algebraic geometry
  3. Analytic geometry
  4. Arithmetic geometry
  5. Arithmetic problems of plane geometry
  6. Birational geometry
  7. Classical geometry
  8. Computational geometry
  9. Conformal geometry
  10. Contact geometry
  11. Convex geometry
  12. Coordinate systems in differential geometry
  13. Differential geometry
  14. Differential geometry of surfaces
  15. Diophantine geometry
  16. Discrete geometry
  17. Elementary geometry
  18. Euclidean geometry
  19. Euclidean plane geometry
  20. Euclidean solid geometry
  21. Finite geometry
  22. Four-dimensional geometry
  23. Geometric algebra
  24. Geometric algorithms
  25. Geometric centers
  26. Geometric graph theory
  27. Geometric graphs
  28. Geometric group theory
  29. Geometric inequalities
  30. Geometric measurement
  31. Geometric shapes
  32. Geometric topology
  33. Geometry of divisors
  34. Geometry of numbers
  35. Geometry processing
  36. Honeycombs (geometry)
  37. Hyperbolic geometry
  38. Hypergeometric functions
  39. Incidence geometry
  40. Integral geometry
  41. Metric geometry
  42. Multi-dimensional geometry
  43. Non-Euclidean geometry
  44. Noncommutative geometry
  45. Orientation (geometry)
  46. Projective geometry
  47. Real algebraic geometry
  48. Riemannian geometry
  49. Special hypergeometric functions
  50. Spherical geometry
  51. Symplectic geometry
  52. Theorems in algebraic geometry
  53. Theorems in complex geometry
  54. Theorems in convex geometry
  55. Theorems in differential geometry
  56. Theorems in discrete geometry
  57. Theorems in geometry
  58. Theorems in plane geometry
  59. Theorems in projective geometry
  60. Topological methods of algebraic geometry
  61. Triangle geometry
  62. Triangulation (geometry)

Topology

  1. Algebraic topology
  2. Computational topology
  3. Differential topology
  4. General topology
  5. Geometric topology
  6. Properties of topological spaces
  7. Symplectic topology
  8. Theorems in algebraic topology
  9. Theorems in differential topology
  10. Theorems in topology
  11. Topological graph theory
  12. Topological groups
  13. Topological methods of algebraic geometry
  14. Topological spaces
  15. Topological vector spaces
  16. Topology of Lie groups
  17. Topology of function spaces
  18. Trees (topology)

Groups

  1. Abelian group theory
  2. Algebraic groups
  3. Discrete groups
  4. Finite groups
  5. Functional subgroups
  6. Geometric group theory
  7. Group actions (mathematics)
  8. Group theory
  9. Infinite group theory
  10. Kleinian groups
  11. Lie groups
  12. Linear algebraic groups
  13. Ordered groups
  14. Permutation groups
  15. Properties of groups
  16. Quantum groups
  17. Representation theory of Lie groups
  18. Representation theory of finite groups
  19. Representation theory of groups
  20. Semigroup theory
  21. Solvable groups
  22. Sporadic groups
  23. Subgroup properties
  24. Theorems in group theory
  25. Topological groups
  26. Topology of Lie groups

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