HandWiki:Math

Mathematics (from Greek "knowledge, study, learning") includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). This portal covers all branches of pure (number theory, algebra, arithmetic, combinatorics, topology, mathematical analysis) and applied (calculus, statistics, set theory, trigonometry) mathematics.

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List of categories

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Main topics

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

Theorems

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

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. Bifurcation theory
13. Category theory
14. Chaos theory
15. Class field theory
16. Classical control theory
17. Coding theory
18. Combinatorial game theory
19. Complex systems theory
20. Computability theory
21. Computational number theory
22. Computational problems in graph theory
23. Conformal field theory
24. Continuum theory
25. Density functional theory
26. Descriptive set theory
27. Dimension theory
28. Effective descriptive set theory
29. Elementary number theory
30. Ergodic theory
31. Estimation theory
32. Experiment (probability theory)
33. Extremal graph theory
34. Field theory
35. Free probability theory
36. Galois theory
37. Game theory
38. Geometric graph theory
39. Geometric group theory
40. Geometric transversal theory
41. Graph minor theory
42. Graph theory
43. Graph theory objects
44. Group theory
45. Hidden variable theory
46. Higher category theory
47. Homology theory
48. Homotopy theory
49. Independence (probability theory)
50. Infinite group theory
51. Information theory
52. Inner model theory
53. Intersection theory
54. Invariant theory
55. Knot theory
56. Large deviations theory
57. Lattice theory
58. Limits (category theory)
59. Martingale theory
60. Matching (graph theory)
61. Matrix theory
62. Matroid theory
63. Measure theory
64. Measures (measure theory)
65. Metatheory
66. Model theory
67. Module theory
68. Network theory
69. Number theory
70. Objects (category theory)
71. Operator theory
72. Order theory
73. Paradoxes of naive set theory
74. Paradoxes of set theory
75. Perturbation theory
76. Probability theory
77. Probability theory paradoxes
78. Queueing theory
79. Ramsey theory
80. Representation theory
81. Representation theory of Lie algebras
82. Representation theory of Lie groups
83. Representation theory of algebraic groups
84. Representation theory of finite groups
85. Representation theory of groups
86. Ring theory
87. Scheme theory
88. Semigroup theory
89. Set theory
90. Sheaf theory
91. Singularity theory
92. Spectral theory
93. Squares in number theory
94. Stability theory
95. Statistical theory
96. Structural complexity theory
97. Summability theory
98. Surgery theory
99. Systems of set theory
100. Systems theory
101. Theorems in algebraic number theory
102. Theorems in analytic number theory
103. Theorems in approximation theory
104. Theorems in computational complexity theory
105. Theorems in graph theory
106. Theorems in group theory
107. Theorems in measure theory
108. Theorems in number theory
109. Theorems in representation theory
110. Theory of computation
111. Theory of probability distributions
112. Topological graph theory
113. Topos theory
114. Trees (graph theory)
115. Type theory
116. 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. Properties of Lie algebras
43. Real algebraic geometry
44. Representation theory of Lie algebras
45. Representation theory of algebraic groups
46. Super linear algebra
47. Theorems in abstract algebra
48. Theorems in algebra
49. Theorems in algebraic geometry
50. Theorems in algebraic number theory
51. Theorems in algebraic topology
52. Theorems in linear algebra
53. Topological algebra
54. Topological methods of algebraic geometry
55. Universal algebra
56. Von Neumann algebras

Statistics

1. Applied probability
2. Asymptotic theory (statistics)
3. Bayesian statistics
4. Biostatistics journals
5. Computational statistics
6. Computational statistics journals
7. Directional statistics
8. Experiment (probability theory)
9. Free probability theory
10. Functions related to probability distributions
11. Independence (probability theory)
12. Infinitely divisible probability distributions
13. Location-scale family probability distributions
14. Logic and statistics
15. Multivariate statistics
16. Nonparametric statistics
17. Parametric statistics
18. Probabilistic arguments
19. Probabilistic inequalities
20. Probability
21. Probability and statistics
22. Probability assessment
23. Probability bounds analysis
24. Probability fallacies
25. Probability interpretations
26. Probability problems
27. Probability theorems
28. Probability theory
29. Probability theory paradoxes
30. Robust statistics
31. Sampling (statistics)
32. Statistical algorithms
33. Statistical approximations
34. Statistical data types
35. Statistical deviation and dispersion
36. Statistical hypothesis testing
37. Statistical inference
38. Statistical methods
39. Statistical paradoxes
40. Statistical parameters
41. Statistical randomness
42. Statistical ratios
43. Statistical theorems
44. Statistical theory
45. Statistics
46. Statistics journals
47. Statistics-related lists
48. Summary statistics
49. Tails of probability distributions
50. Theorems in statistics
51. Theory of probability distributions
52. 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. Configurations (geometry)
10. Conformal geometry
11. Contact geometry
12. Convex geometry
13. Coordinate systems in differential geometry
14. Descriptive geometry
15. Differential geometry
16. Differential geometry of surfaces
17. Diophantine geometry
18. Discrete geometry
19. Elementary geometry
20. Euclidean geometry
21. Euclidean plane geometry
22. Euclidean solid geometry
23. Finite geometry
24. Four-dimensional geometry
25. Geometric algebra
26. Geometric algorithms
27. Geometric centers
28. Geometric dissection
29. Geometric graph theory
30. Geometric graphs
31. Geometric group theory
32. Geometric inequalities
33. Geometric measurement
34. Geometric shapes
35. Geometric topology
36. Geometric transversal theory
37. Geometry of divisors
38. Geometry of numbers
39. Geometry processing
40. Honeycombs (geometry)
41. Hyperbolic geometry
42. Hypergeometric functions
43. Incidence geometry
44. Integral geometry
45. Metric geometry
46. Multi-dimensional geometry
47. Non-Euclidean geometry
48. Noncommutative geometry
49. Orientation (geometry)
50. Projective geometry
51. Real algebraic geometry
52. Riemannian geometry
53. Special hypergeometric functions
54. Spherical geometry
55. Symplectic geometry
56. Systolic geometry
57. Theorems in Riemannian geometry
58. Theorems in algebraic geometry
59. Theorems in complex geometry
60. Theorems in convex geometry
61. Theorems in differential geometry
62. Theorems in discrete geometry
63. Theorems in geometry
64. Theorems in plane geometry
65. Theorems in projective geometry
66. Topological methods of algebraic geometry
67. Triangle geometry
68. 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 algebra
12. Topological graph theory
13. Topological groups
14. Topological methods of algebraic geometry
15. Topological spaces
16. Topological vector spaces
17. Topology of Lie groups
18. Topology of function spaces
19. Topology of homogeneous spaces
20. Trees (topology)

Groups

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