This page lists identities in the sense of mathematics, that is, identically true relations holding in algebra or between special functions. In mathematics, an identity is an equality that remains true regardless of the values of any variables that appear within it. ... Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations by or about: Mathematics Look up Mathematics on Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... Algebra is a branch of mathematics, which studies structure and quantity. ... In mathematics, several functions are important enough to deserve their own name. ...

• Difference of two squares
• Bézout's identity
• Euler's identity
• Vandermonde's identity
• Brahmagupta's identity
• Euler's four-square identity

In mathematics, the difference of two squares refers to the identity a2 − b2 = (a + b)(a − b) from elementary algebra. ... In number theory, Bézouts identity, named after Étienne Bézout, is a linear diophantine equation. ... In mathematics, Eulers identity is the following equation: where: is the base of the natural logarithm, is the imaginary unit, the complex number whose square is negative one, and is Archimedes constant, the ratio of the circumference of a circle to its diameter. ... In combinatorial mathematics, Vandermondes identity, named after Alexandre-Théophile Vandermonde, states that This may be proved by simple algebra relying on the fact that (see factorial) but it also admits a more combinatorics-flavored bijective proof, as follows. ... In mathematics, Brahmaguptas identity says that the product of two numbers, each of which is a sum of two squares, is itself a sum of two squares. ... In mathematics, Eulers four-square identity says that the product of two numbers, each of which being a sum of four squares, is itself a sum of four squares. ...

Identities for classes of functions

• Logarithmic identities
• Exponential identities
• Trigonometric identities
• Hyperbolic function identities
• Hypergeometric function identities
• Combinatorial identities

Also see: In mathematics, there are several logarithmic identities. ... In mathematics, trigonometric identities are equations involving trigonometric functions that are true for all values of the occurring variables. ... In mathematics, hypergeometric identies are equalities involving sums over hypergeometric terms. ...

• Cassini's identity
• McWilliams identity
• list of inequalities