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Karl Hermann Amandus Schwarz (25 January 1843 – 30 November 1921) was a German mathematician, known for his work in complex analysis. He was born in Hermsdorf, Silesia (now Jerzmanowa, Poland) and died in Berlin. He was married to Marie Kummer, a daughter of the mathematician Ernst Eduard Kummer and his wife Ottilie, née Mendelssohn (a daughter of Nathan Mendelssohns and granddaughter of Moses Mendelssohn). They had six children.

Schwarz originally studied chemistry in Berlin but Kummer and Weierstraß persuaded him to change to Mathematics. Between 1867 and 1869 he worked in Halle, then in Zürich. From 1875 he worked at Göttingen University, dealing with the subjects of function theory, differential geometry and the calculus of variations. His works include Bestimmung einer speziellen Minimalfläche, which was crowned by the Berlin Academy in 1867 and printed in 1871, and Gesammelte mathematische Abhandlungen (1890). In 1892 he became a member of the Berlin Academy of Science and a professor at the University of Berlin, where his students included Lipot Fejer, Paul Koebe and Ernst Zermelo. He died in Berlin.

See also

* Additive Schwarz method
* Schwarz alternating method
* Schwarzian derivative
* Schwarz lemma
* Schwarz's list
* Schwarz theorem (also known as Clairaut's theorem)
* Schwarz integral formula
* Schwarz–Christoffel mapping
* Schwarz–Ahlfors–Pick theorem
* Schwarz reflection principle
* Schwarz triangle
* Schwarz triangle map
* Weierstrass product inequality
* Chebyshev sum inequality

External links

* O'Connor, John J.; Robertson, Edmund F., "Hermann Schwarz", MacTutor History of Mathematics archive, University of St Andrews, .
* Hermann Schwarz at the Mathematics Genealogy Project


Mathematics Encyclopedia

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