## Cauchy's integral theorem

In mathematics , the **Cauchy** integral theorem (also known as the **Cauchy** -Goursat theorem ) in complex analysis , named after **Augustin** -Louis **Cauchy** , is an important statement about line integrals for holomorphic functions in the complex plane . Essentially, it says that if two different

**wikipedia.org**| 2011/7/8 11:00:11

## List of topics named after Augustin-Louis Cauchy

Many things are named after the 19th-century French mathematician **Augustin** -Louis **Cauchy** : Binet– **Cauchy** identity **Cauchy–Binet** formula **Cauchy** boundary condition **Cauchy** condensation test **Cauchy** 's convergence test **Cauchy** (crater) **Cauchy** determinant **Cauchy** distribution **Cauchy**

**wikipedia.org**| 2011/4/18 6:06:03

## Cauchy formula for repeated integration

The **Cauchy** formula for repeated integration , named after **Augustin** Louis **Cauchy** , allows one to compress n antidifferentiations of a function into a single integral (cf. **Cauchy** 's formula ). Contents 1 Scalar case 2 Applications 3 References 4 External links [ edit

**wikipedia.org**| 2011/8/3 8:06:55

## Cauchy theorem

Several theorems are named after **Augustin** -Louis **Cauchy** . **Cauchy** theorem may mean: **Cauchy** 's integral theorem in complex analysis, also **Cauchy** 's integral formula **Cauchy** 's mean value theorem in real analysis, an extended form of the mean value theorem **Cauchy** 's theorem (group theory

**wikipedia.org**| 2010/9/26 19:59:37

## Cauchy's integral formula

In mathematics , **Cauchy** 's integral formula , named after **Augustin** -Louis **Cauchy** , is a central statement in complex analysis . It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral

**wikipedia.org**| 2011/9/23 8:19:25

## Cauchy–Schwarz inequality

In mathematics , the **Cauchy–Schwarz** inequality (also known as the Bunyakovsky inequality , the Schwarz inequality , or the **Cauchy–Bunyakovsky–Schwarz** inequality ), is a useful inequality encountered in many different settings, such as linear algebra , analysis , probability theory

**wikipedia.org**| 2011/8/12 20:52:53

## Cauchy–Riemann equations

In mathematics , the **Cauchy–Riemann** differential equations in complex analysis , named after **Augustin Cauchy** and Bernhard Riemann , consist of a system of two partial differential equations which must be satisfied in order for a differentiable function to be holomorphic in an open

**wikipedia.org**| 2011/7/12 16:09:53

## Cauchy distribution

The **Cauchy–Lorentz** distribution , named after **Augustin Cauchy** and Hendrik Lorentz , is a continuous probability distribution . As a probability distribution, it is known as the **Cauchy** distribution , while among physicists, it is known as the Lorentz distribution , Lorentz(ian) function

**wikipedia.org**| 2011/9/2 15:28:57

## Cauchy–Kowalevski theorem

In mathematics , the **Cauchy–Kowalevski** theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with **Cauchy** initial value problems . A special case was proved by **Augustin Cauchy** ( 1842 ), and the full result by Sophie Kowalevski

**wikipedia.org**| 2010/9/24 23:15:26