The Mathematics Portal
Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games). Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and game theory. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, and practical applications for what began as pure mathematics are often discovered. (Full article...)
Featured articles 
Selected image –
Good articles 
Did you know –
 … that the Riemann Hypothesis, one of the Millennium Problems, depends on the asymptotic growth of the Mertens Function?
 … that every positive integer can be written as the sum of three palindromic numbers in every number system with base 5 or greater?
 … that the best known lower bound for the length of the smallest superpermutation was first posted anonymously to the internet imageboard 4chan?
 ...that the mathematician Grigori Perelman was offered a Fields Medal in 2006, in part for his proof of the Poincaré conjecture, which he declined?
 ...that a regular heptagon is the regular polygon with the fewest sides which is not constructible with a compass and straightedge?
 ...that the regular trigonometric functions and the hyperbolic trigonometric functions can be related without using complex numbers through the Gudermannian function?
 ...that the Catalan numbers solve a number of problems in combinatorics such as the number of ways to completely parenthesize an algebraic expression with n+1 factors?
More Did you know (auto generated)
 ... that Piper Harron's 2016 mathematics doctoral thesis has been described as "feminist", "unique", "honest", "generous", and "refreshing"?
 ... that a math mistake while fencing with longswords gave cognitive scientist Tom Griffiths a broken right wrist?
 ... that an equivalence between algebraic and geometric definitions of constructible numbers helps prove the impossibility of squaring the circle?
 ... that assisted by computers, Marijn Heule helped devise a proof of Keller's conjecture in dimension seven, a 90yearold math problem?
 ... that when mathematician Josephine M. Mitchell married another University of Illinois faculty member, the university revoked her tenured position so her husband could keep his untenured one?
 ... that the Septet for trumpet, strings and piano was composed by Camille SaintSaëns for a mathematician?
Selected article –
Problem II.8 in the Arithmetica by Diophantus, annotated with Fermat's comment, which became Fermat's Last Theorem Image credit: 
Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. It states that:
 has no solutions in nonzero integers , , and when is an integer greater than 2.
Despite how closely the problem is related to the Pythagorean theorem, which has infinite solutions and hundreds of proofs, Fermat's subtle variation is much more difficult to prove. Still, the problem itself is easily understood even by schoolchildren, making it all the more frustrating and generating perhaps more incorrect proofs than any other problem in the history of mathematics.
The 17thcentury mathematician Pierre de Fermat wrote in 1637 in his copy of Bachet's translation of the famous Arithmetica of Diophantus: "I have a truly marvelous proof of this proposition which this margin is too narrow to contain." However, no correct proof was found for 357 years, until it was finally proven using very deep methods by Andrew Wiles in 1995 (after a failed attempt a year before). (Full article...)
View all selected articles 
Subcategories
Algebra  Arithmetic  Analysis  Complex analysis  Applied mathematics  Calculus  Category theory  Chaos theory  Combinatorics  Dynamic systems  Fractals  Game theory  Geometry  Algebraic geometry  Graph theory  Group theory  Linear algebra  Mathematical logic  Model theory  Multidimensional geometry  Number theory  Numerical analysis  Optimization  Order theory  Probability and statistics  Set theory  Statistics  Topology  Algebraic topology  Trigonometry  Linear programming
Mathematics  History of mathematics  Mathematicians  Awards  Education  Literature  Notation  Organizations  Theorems  Proofs  Unsolved problems
Topics in mathematics
General  Foundations  Number theory  Discrete mathematics 

 
Algebra  Analysis  Geometry and topology  Applied mathematics 
Index of mathematics articles
ARTICLE INDEX:  
MATHEMATICIANS: 
Related portals
WikiProjects
The Mathematics WikiProject is the center for mathematicsrelated editing on Wikipedia. Join the discussion on the project's talk page.
Project pages Essays Subprojects Related projects 
Things you can do

In other Wikimedia projects