Page semi-protected
From Wikipedia, the free encyclopedia

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 - load new batch

Cscr-featured.png  Featured articles are displayed here, which represent some of the best content on English Wikipedia.

Selected image – show another

three lines connecting corresponding vertices of a larger triangle on the left and a smaller one on the right converge at a point further to the right called the "center of perspectivity"
Credit:  User:Jujutacular, based on an original by User:DynaBlast
In projective geometry, Desargues' theorem states that two triangles are in perspective axially if and only if they are in perspective centrally. Lines through the triangle sides meet in pairs at collinear points along the axis of perspectivity. Lines through corresponding pairs of vertices on the triangles meet at a point called the center of perspectivity.

Good articles - load new batch

Symbol support vote.svg  These are Good articles, which meet a core set of high editorial standards.

Did you know (auto-generated) - load new batch

Nuvola apps filetypes.svg

More did you know – view different entries

Did you know...
Showing 7 items out of 75

Selected article – show another

The second Borel-Cantelli lemma implies that a chimpanzee like this one typing at random will almost surely produce the complete works of Shakespeare, given enough time.
Image credit: User:Chris 73

The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type or create a particular chosen text, such as the complete works of William Shakespeare. Note that " almost surely" in this context is a mathematical term with a specific meaning, and that the "monkey" is not an actual monkey; rather, it is a vivid metaphor for an abstract device that produces an unending, random sequence of letters.

The theorem graphically illustrates the perils of reasoning about infinity by imagining a vast but finite number. If every atom in the visible universe were a monkey producing a billion keystrokes a second from the Big Bang until today, it is still very unlikely that any monkey would get as far as "slings and arrows" in Hamlets most famous soliloquy. The infinite monkey theorem is straightforward to prove, even without appealing to more advanced results. (' Full article...)

View all selected articles


Full category tree. Select [►] to view subcategories.

Topics in mathematics

General Foundations Number theory Discrete mathematics
Nuvola apps bookcase.svg
Set theory icon.svg
Nuvola apps kwin4.png
Nuvola apps atlantik.png

Algebra Analysis Geometry and topology Applied mathematics
Arithmetic symbols.svg
Nuvola apps kpovmodeler.svg

Index of mathematics articles


Related portals


In other Wikimedia projects

The following Wikimedia Foundation sister projects provide more on this subject:

More portals