** Mathematics** is the study of

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** Knot theory** is the branch of

Knots can be described in various ways, but the most common method is by planar diagrams (known as knot projections or knot diagrams). Given a method of description, a knot will have many descriptions, e.g., many diagrams, representing it. A fundamental problem in knot theory is determining when two descriptions represent the same knot. One way of distinguishing knots is by using a * knot invariant*, a "quantity" which remains the same even with different descriptions of a knot.

Research in knot theory began with the creation of knot tables and the systematic tabulation of knots. While tabulation remains an important task, today's researchers have a wide variety of backgrounds and goals. Classical knot theory, as initiated by

The discovery of the

This is a graph of a portion of the complex-valued ** Riemann zeta function** along the

- ...that some functions can be written as an
infinite sum oftrigonometric polynomials and that this sum is called theFourier series of that function? - ...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
ref - ...the
Piphilology record (memorizing digits ofPi ) is 70000 as of Mar 2015? - ...with a
Perrin number denoted P(i), i=1,2,3..., when i is prime then P(i) is composite, being divisible by i? - ...that
Auction theory was successfully used in 1994 to sellFCC airwave spectrum, in a financial application ofgame theory ? - ...properties of
Pascal's triangle have application in many fields ofmathematics includingcombinatorics ,algebra ,calculus andgeometry ?

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

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