Portal:Mathematics
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 as of April 2010 only 35 even numbers have been found that are not the sum of two primes which are each in a Twin Primes pair? ref
 ...the Piphilology record (memorizing digits of Pi) is 70000 as of Mar 2015?
 ...that people are significantly slower to identify the parity of zero than other whole numbers, regardless of age, language spoken, or whether the symbol or word for zero is used?
 ...that Auction theory was successfully used in 1994 to sell FCC airwave spectrum, in a financial application of game theory?
 ...properties of Pascal's triangle have application in many fields of mathematics including combinatorics, algebra, calculus and geometry?
 ...work in artificial intelligence makes use of swarm intelligence, which has foundations in the behavioral examples found in nature of ants, birds, bees, and fish among others?
 ...that statistical properties dictated by Benford's Law are used in auditing of financial accounts as one means of detecting fraud?
More Did you know (auto generated)
 ... that in the musical Fermat's Last Tango, mathematicians Euclid and Newton are played by women?
 ... that mathematician Pamela E. Harris cofounded the online platform Lathisms to promote Hispanic and Latino American participation in mathematics?
 ... that Pandrosion may have been an earlier female contributor to mathematics than Hypatia?
 ... that mathematician Dona Strauss left South Africa over apartheid, lost a faculty job at Dartmouth for joining an antiwar protest, and helped found European Women in Mathematics?
 ... that John Rolph was arrested while trying to solve Euclid's geometry problems?
 ... that in 1593, French amateur mathematician François Viète found the first formula in European mathematics to represent an infinite process, a product of square roots that he used to compute π?
Selected article –
Image credit: User:Melchoir 
The real number denoted by the recurring decimal 0.999… is exactly equal to 1. In other words, "0.999…" represents the same number as the symbol "1". Various proofs of this identity have been formulated with varying rigour, preferred development of the real numbers, background assumptions, historical context, and target audience.
The equality has long been taught in textbooks, and in the last few decades, researchers of mathematics education have studied the reception of this equation among students, who often reject the equality. The students' reasoning is typically based on one of a few common erroneous intuitions about the real numbers; for example, a belief that each unique decimal expansion must correspond to a unique number, an expectation that infinitesimal quantities should exist, that arithmetic may be broken, an inability to understand limits or simply the belief that 0.999… should have a last 9. These ideas are false with respect to the real numbers, which can be proven by explicitly constructing the reals from the rational numbers, and such constructions can also prove that 0.999… = 1 directly. (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
