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** Mathematics** is the study of

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*There are approximately 31,444 mathematics articles in Wikipedia.*

Leonhard Euler Image credit: |

**Leonhard Euler** (pronounced oiler;

Euler developed many important concepts and * function*, and its notation, such as

A ** Klein bottle** is an example of a closed

- … that the
Riemann Hypothesis , one of theMillennium Problems , depends on theasymptotic growth of theMertens Function ? - ...that outstanding mathematician
Grigori Perelman was offered aFields Medal in 2006, in part for his proof of thePoincaré conjecture , which he declined? - ...that a regular
heptagon is theregular polygon with the fewest number of sides which is notconstructible with acompass and straightedge ? - ...that the
Gudermannian function relates the regulartrigonometric functions and thehyperbolic trigonometric functions without the use ofcomplex numbers ? - ...that the
Catalan numbers solve a number of problems incombinatorics such as the number of ways to completely parenthesize an algebraic expression with*n*+1 factors? - ...that a
ball can be cut up and reassembled into two balls the same size as the original (Banach-Tarski paradox )? - ...that it is impossible to devise a single formula involving only polynomials and radicals for solving an arbitrary
quintic equation ?

The ** Mathematics WikiProject** is the center for mathematics-related editing on Wikipedia. Join the discussion on the project's

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