# Mathematician:Karl Hermann Amandus Schwarz

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## Mathematician

German mathematician known for his work in the field of complex analysis.

Student of Weierstrass.

Best known for his contribution to the Cauchy-Bunyakovsky-Schwarz Inequality.

## Nationality

German (born in what is now Poland).

## History

- Born: 25 January 1843, Hermsdorf, Silesia (now Poland)
- Died: 30 November 1921, Berlin, Germany

## Theorems and Definitions

- Cauchy-Bunyakovsky-Schwarz Inequality (with Augustin Louis Cauchy and Viktor Yakovlevich Bunyakovsky)
- Schwarz Alternating Method
- Schwarzian Derivative

- Schwarz Function
- Schwarz's Lemma
- Schwarz's List
- Schwarz Theorem (also known as Clairaut's Theorem)
- Schwarz Integral Formula
- Schwarz-Christoffel Mapping
- Schwarz-Pick Theorem (with Georg Alexander Pick)
- Schwarz-Ahlfors-Pick Theorem (with Lars Valerian Ahlfors and Georg Alexander Pick)
- Schwarz Reflection Principle
- Schwarz Triangle
- Schwarz Triangle Map, also known as Schwarz s-Function

Results named for **Karl Hermann Amandus Schwarz** can be found here.

Definitions of concepts named for **Karl Hermann Amandus Schwarz** can be found here.

## Publications

- 1867:
*Bestimmung einer speziellen Minimalfläche* - 1870:
*Über einen Grenzübergang durch alternierendes Verfahren* - 1890:
*Gesammelte mathematische Abhandlungen*

## Also known as

More usually known as **Hermann Amandus Schwarz**.

Often misspelt **Schwartz**.

## Sources

- John J. O'Connor and Edmund F. Robertson: "Karl Hermann Amandus Schwarz": MacTutor History of Mathematics archive

- 1991: David Wells:
*Curious and Interesting Geometry*... (previous) ... (next): A Chronological List Of Mathematicians - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Cauchy-Schwarz inequality** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Cauchy-Schwarz inequality**