HandWiki:Math

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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

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Main topics

  1. Abelian varieties
  2. Additive combinatorics
  3. Amount of substance
  4. Analysis of algorithms
  5. Analysis of variance
  6. Analytic functions
  7. Applied mathematics
  8. Approximation algorithms
  9. Approximations
  10. Arithmetic
  11. Arithmetic functions
  12. Articles containing proofs
  13. Asymptotic analysis
  14. Axiom of choice
  15. Banach spaces
  16. Bayesian estimation
  17. Bayesian inference
  18. Behavior selection algorithms
  19. Bilinear operators
  20. Binary arithmetic
  21. Binary operations
  22. Binary relations
  23. Boundary conditions
  24. Cache coherency
  25. Cardinal numbers
  26. Categorical logic
  27. Causal diagrams
  28. Chaotic maps
  29. Classes of prime numbers
  30. Classical logic
  31. Classification algorithms
  32. Closure operators
  33. Clustering criteria
  34. Combinatorial algorithms
  35. Combinatorial optimization
  36. Combinatorics
  37. Compactness (mathematics)
  38. Complex analysis
  39. Complex dynamics
  40. Complex manifolds
  41. Complex numbers
  42. Complex surfaces
  43. Computational fields of study
  44. Concepts in logic
  45. Conceptual modelling
  46. Conditionals
  47. Conformal mapping
  48. Conic sections
  49. Conjectures
  50. Conjugate prior distributions
  51. Connection (mathematics)
  52. Conservation equations
  53. Constructivism (mathematics)
  54. Continuous distributions
  55. Continuous integration
  56. Continuous mappings
  57. Continuous wavelets
  58. Convergence (mathematics)
  59. Convex analysis
  60. Coordinate systems
  61. Covariance and correlation
  62. Covering lemmas
  63. Curvature (mathematics)
  64. Deductive reasoning
  65. Definitions of mathematical integration
  66. Design of experiments
  67. Determinants
  68. Deterministic global optimization
  69. Dichotomies
  70. Differential calculus
  71. Differential equations
  72. Differential forms
  73. Differential operators
  74. Differentiation rules
  75. Dimension reduction
  76. Dimensionless numbers
  77. Diophantine equations
  78. Directed graphs
  79. Discrete distributions
  80. Discrete mathematics
  81. Discrete transforms
  82. Divergent series
  83. Dynamical systems
  84. Elementary arithmetic
  85. Elementary mathematics
  86. Elementary shapes
  87. Elementary special functions
  88. Elliptic curves
  89. Elliptic functions
  90. Enumerative combinatorics
  91. Equal-area projections
  92. Equations of fluid dynamics
  93. Equivalence (mathematics)
  94. Error detection and correction
  95. Errors and residuals
  96. Estimation of densities
  97. Euclidean symmetries
  98. Exponential family distributions
  99. Exponentials
  100. Factor analysis
  101. Factorial and binomial topics
  102. Fields of mathematics
  103. Finite automata
  104. Finite differences
  105. Finite element method
  106. Finite fields
  107. Forcing (mathematics)
  108. Formal sciences
  109. Formal systems
  110. Fourier analysis
  111. Fourier series
  112. Fractal curves
  113. Fractions (mathematics)
  114. Frequency distribution
  115. Fréchet spaces
  116. Functional analysis
  117. Functional equations
  118. Functions and mappings
  119. Fuzzy logic
  120. Gambling terminology
  121. Gamma and related functions
  122. Gaussian function
  123. Generalizations of the derivative
  124. Generalized functions
  125. Generalized manifolds
  126. Generating functions
  127. Geodesic (mathematics)
  128. Glossaries of mathematics
  129. Glossary of areas of mathematics
  130. Graph algorithms
  131. Graph connectivity
  132. Graph data structures
  133. Graph families
  134. Graph invariants
  135. Harmonic analysis
  136. Harmonic functions
  137. Hexadecimal numeral system
  138. Hilbert space
  139. Hilbert's problems
  140. Homogeneous spaces
  141. Horizontal coordinate system
  142. Hypotheses
  143. Immediate inference
  144. Inequalities
  145. Information
  146. Integer sequences
  147. Integrable systems
  148. Integral calculus
  149. Integral equations
  150. Integral representations
  151. Integral transforms
  152. Integration on manifolds
  153. International System of Units
  154. Interpolation
  155. Intersection classes of graphs
  156. Inverse functions
  157. Irrational numbers
  158. Knot invariants
  159. Knowledge representation
  160. Large cardinals
  161. Large integers
  162. Large numbers
  163. Lattice points
  164. Limit sets
  165. Limits (mathematics)
  166. Linear operators in calculus
  167. Localization (mathematics)
  168. Logarithms
  169. Logic symbols
  170. Logical connectives
  171. Logical consequence
  172. Logical expressions
  173. Logical truth
  174. Lorentzian manifolds
  175. Loss functions
  176. Lévy processes
  177. Many-valued logic
  178. Map projections
  179. Maps of manifolds
  180. Markov chain Monte Carlo
  181. Markov models
  182. Markov processes
  183. Mathematical analysis
  184. Mathematical and quantitative methods (economics)
  185. Mathematical axioms
  186. Mathematical chemistry
  187. Mathematical concepts
  188. Mathematical constants
  189. Mathematical identities
  190. Mathematical logic
  191. Mathematical methods in general relativity
  192. Mathematical modeling
  193. Mathematical notation
  194. Mathematical optimization
  195. Mathematical physics
  196. Mathematical principles
  197. Mathematical problems
  198. Mathematical relations
  199. Mathematical series
  200. Mathematical structures
  201. Mathematical tables
  202. Mathematical terminology
  203. Mathematics
  204. Mathematics of infinitesimals
  205. Mathematics of rigidity
  206. Mathematics paradoxes
  207. Mathematics-related lists
  208. Matrix decompositions
  209. Matrix normal forms
  210. Metric tensors
  211. Minimal surfaces
  212. Minkowski spacetime
  213. Modal logic
  214. Modular forms
  215. Moment (mathematics)
  216. Monte Carlo methods
  217. Multiplication
  218. Multivariable calculus
  219. Multivariate interpolation
  220. Necessity and sufficiency
  221. Non-classical logic
  222. Non-standard analysis
  223. Nonlinear functional analysis
  224. Nonlinear systems
  225. Normal distribution
  226. Norms (mathematics)
  227. Numeral systems
  228. Numerical analysis
  229. Numerical differential equations
  230. Numerical function drawing
  231. Obfuscation
  232. Operations research
  233. Optimal decisions
  234. Optimization algorithms and methods
  235. Ordinal numbers
  236. Ordinary differential equations
  237. Orthogonal polynomials
  238. Orthogonal wavelets
  239. Oscillation
  240. Parabolic partial differential equations
  241. Paradoxes of infinity
  242. Parametric families of graphs
  243. Parity (mathematics)
  244. Partial differential equations
  245. Paul Dirac
  246. Permutations
  247. Planar graphs
  248. Point processes
  249. Poisson distribution
  250. Poisson point processes
  251. Polynomial functions
  252. Polynomials
  253. Prime numbers
  254. Propositional calculus
  255. Quadratic forms
  256. Quadrilaterals
  257. Quality control tools
  258. Quantification
  259. Quaternions
  260. Quotient objects
  261. Random graphs
  262. Random matrices
  263. Randomized algorithms
  264. Rational numbers
  265. Real analysis
  266. Real closed field
  267. Real numbers
  268. Real transcendental numbers
  269. Recurrence relations
  270. Regression analysis
  271. Riemann surfaces
  272. Root-finding algorithms
  273. Rotation in three dimensions
  274. Rotational symmetry
  275. Rules of inference
  276. Runge–Kutta methods
  277. Scaling symmetries
  278. Scientific method
  279. Self-organization
  280. Separation axioms
  281. Sequence spaces
  282. Sequences and series
  283. Series expansions
  284. Set families
  285. Sets of real numbers
  286. Several complex variables
  287. Simplicial sets
  288. Singular value decomposition
  289. Smooth functions
  290. Smooth manifolds
  291. Sobolev spaces
  292. Sources of knowledge
  293. Spanning tree
  294. Sparse matrices
  295. Spatial data analysis
  296. Spatial gradient
  297. Spatial processes
  298. Special functions
  299. Spectral sequences
  300. Splines (mathematics)
  301. Stable distributions
  302. Stochastic calculus
  303. Stochastic differential equations
  304. Stochastic models
  305. Stochastic processes
  306. Strongly regular graphs
  307. Structural analysis
  308. Structures on manifolds
  309. Summability methods
  310. Survival analysis
  311. Symmetric functions
  312. Syntax (logic)
  313. Systems of formal logic
  314. Tensors in general relativity
  315. Term logic
  316. Ternary operations
  317. Time domain analysis
  318. Time in science
  319. Transcendental numbers
  320. Transformation (function)
  321. Transforms
  322. Trigonometry
  323. Types of databases
  324. Types of functions
  325. UCUM base units
  326. Unary operations
  327. Undecidable conjectures
  328. Unification (computer science)
  329. Unitary operators
  330. Units of energy
  331. Units of luminous intensity
  332. Units of temperature
  333. Unsolved problems in mathematics
  334. Variants of random walks
  335. Variational principles
  336. Vector bundles
  337. Vector calculus
  338. Vector spaces
  339. Vectors (mathematics and physics)
  340. Vertical position
  341. Wiener process
  342. Zeta and L-functions

Theorems

  1. Automated theorem proving
  2. Compactness theorems
  3. Fundamental theorems
  4. Mathematical theorems
  5. Probability theorems
  6. Statistical mechanics theorems
  7. Statistical theorems
  8. Theorems in Fourier analysis
  9. Theorems in algebra
  10. Theorems in algebraic geometry
  11. Theorems in algebraic topology
  12. Theorems in analysis
  13. Theorems in analytic number theory
  14. Theorems in calculus
  15. Theorems in combinatorics
  16. Theorems in complex analysis
  17. Theorems in convex geometry
  18. Theorems in differential geometry
  19. Theorems in discrete mathematics
  20. Theorems in functional analysis
  21. Theorems in geometry
  22. Theorems in graph theory
  23. Theorems in harmonic analysis
  24. Theorems in linear algebra
  25. Theorems in measure theory
  26. Theorems in number theory
  27. Theorems in plane geometry
  28. Theorems in propositional logic
  29. Theorems in real analysis
  30. Theorems in representation theory
  31. Theorems in the foundations of mathematics
  32. Theorems in topology

Theories

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

Algebra

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

Statistics

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

Geometry

  1. Affine geometry
  2. Algebraic geometry
  3. Analytic geometry
  4. Classical geometry
  5. Computational geometry
  6. Conformal geometry
  7. Contact geometry
  8. Convex geometry
  9. Coordinate systems in differential geometry
  10. Differential geometry
  11. Differential geometry of surfaces
  12. Diophantine geometry
  13. Discrete geometry
  14. Elementary geometry
  15. Euclidean geometry
  16. Euclidean plane geometry
  17. Finite geometry
  18. Geometric algebra
  19. Geometric algorithms
  20. Geometric centers
  21. Geometric graph theory
  22. Geometric graphs
  23. Geometric group theory
  24. Geometric inequalities
  25. Geometric measurement
  26. Geometric topology
  27. Geometry of numbers
  28. Geometry processing
  29. Hyperbolic geometry
  30. Hypergeometric functions
  31. Incidence geometry
  32. Metric geometry
  33. Multi-dimensional geometry
  34. Non-Euclidean geometry
  35. Orientation (geometry)
  36. Projective geometry
  37. Real algebraic geometry
  38. Riemannian geometry
  39. Special hypergeometric functions
  40. Spherical geometry
  41. Symplectic geometry
  42. Theorems in algebraic geometry
  43. Theorems in convex geometry
  44. Theorems in differential geometry
  45. Theorems in geometry
  46. Theorems in plane geometry
  47. Triangle geometry

Topology

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

Groups

  1. Abelian group theory
  2. Algebraic groups
  3. Discrete groups
  4. Finite groups
  5. Geometric group theory
  6. Group theory
  7. Infinite group theory
  8. Kleinian groups
  9. Lie groups
  10. Linear algebraic groups
  11. Ordered groups
  12. Properties of groups
  13. Representation theory of Lie groups
  14. Representation theory of groups
  15. Semigroup theory
  16. Sporadic groups
  17. Subgroup properties
  18. Topological groups
  19. Topology of Lie groups