Euler's formula — This article is about Euler s formula in complex analysis. For Euler s formula in algebraic topology and polyhedral combinatorics see Euler characteristic. Part of a series of articles on The mathematical constant e … Wikipedia
Euler–Maclaurin formula — In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using… … Wikipedia
Euler's criterion — In mathematics, Euler s criterion is used in determining in number theory whether a given integer is a quadratic residue modulo a prime. DefinitionEuler s criterion states: Let p be an odd prime and a an integer coprime to p . Then a is a… … Wikipedia
List of topics named after Leonhard Euler — In mathematics and physics, there are a large number of topics named in honour of Leonhard Euler (pronounced Oiler ). As well, many of these topics include their own unique function, equation, formula, identity, number (single or sequence), or… … Wikipedia
Thâbit ibn Kurrah rule — is a method for discovering amicable numbers invented in the tenth century by the Arab mathematician Thâbit ibn Kurrah. A later generalization of this rule is Euler s rule. The rule is given in terms of Thâbit ibn Kurrah numbers. For any natural… … Wikipedia
Gibbs' phase rule — Gibbs phase rule, stated by Josiah Willard Gibbs in the 1870s, is the fundamental rule on which phase diagrams are based. It provides the number of degrees of freedom for a given thermodynamic condition, that is: how many control variables… … Wikipedia
Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… … Wikipedia
Chain rule — For other uses, see Chain rule (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation … Wikipedia
Product rule — For Euler s chain rule relating partial derivatives of three independent variables, see Triple product rule. For the counting principle in combinatorics, see Rule of product. Topics in Calculus Fundamental theorem Limits of functions Continuity… … Wikipedia
Trapezium rule — In mathematics, the trapezium rule (the British term) or trapezoidal rule (the American term) is a way to approximately calculate the definite integral: int {a}^{b} f(x),dx. The trapezium rule works by approximating the region under the graph of… … Wikipedia
