Before the featured portal process ceased in 2017, this had been designated as a featured portal.
Page semi-protected

Portal:Mathematics Information

From Wikipedia

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

diagram of a unit circle and several associated triangles whose side lengths are the values of the various trigonometric functions
Credit:  Steven G. Johnson (original version)
This is a graphical construction of the various trigonometric functions from a unit circle centered at the origin, O, and two points, A and D, on the circle separated by a central angle θ. The triangle AOC has side lengths cos θ (OC, the side adjacent to the angle θ) and sin θ (AC, the side opposite the angle), and a hypotenuse of length 1 (because the circle has unit radius). When the tangent line AE to the circle at point A is drawn to meet the extension of OD beyond the limits of the circle, the triangle formed, AOE, contains sides of length tan θ (AE) and sec θ (OE). When the tangent line is extended in the other direction to meet the line OF drawn perpendicular to OC, the triangle formed, AOF, has sides of length cot θ (AF) and csc θ (OF). In addition to these common trigonometric functions, the diagram also includes some functions that have fallen into disuse: the chord (AD), versine (CD), exsecant (DE), coversine (GH), and excosecant (FH). First used in the early Middle Ages by Indian and Islamic mathematicians to solve simple geometrical problems (e.g., solving triangles), the trigonometric functions today are used in sophisticated two- and three-dimensional computer modeling (especially when rotating modeled objects), as well as in the study of sound and other mechanical waves, light (electromagnetic waves), and electrical networks.

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

Banach-Tarski Paradox.svg
Banach–Tarski paradox
Image credit: Benjamin D. Esham

The Banach–Tarski paradox is a theorem in set-theoretic geometry which states that a solid ball in 3-dimensional space can be split into a finite number of non-overlapping pieces, which can then be put back together in a different way to yield two identical copies of the original ball. The reassembly process involves only moving the pieces around and rotating them, without changing their shape. However, the pieces themselves are complicated: they are not usual solids but infinite scatterings of points. A stronger form of the theorem implies that given any two "reasonable" solid objects (such as a small ball and a huge ball) — solid in the sense of the continuum — either one can be reassembled into the other. This is often stated colloquially as "a pea can be chopped up and reassembled into the Sun". ( 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