Hermann Schwarz

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For the philosopher, see Hermann Schwarz (philosopher). For the founder of Rohde & Schwarz, see Hermann Schwarz (entrepreneur).
Not to be confused with Laurent Schwartz.
Hermann Schwarz
Karl Hermann Amandus Schwarz
Born (1843-01-25)25 January 1843
Hermsdorf, Silesia, Prussia
Died 30 November 1921(1921-11-30) (aged 78)
Berlin, Germany
Residence Germany, Switzerland
Nationality Prussian
Fields Mathematician
Institutions University of Halle
ETH Zurich
Göttingen University
Alma mater Gewerbeinstitut
Doctoral advisor Karl Weierstrass
Ernst Kummer
Doctoral students Lipót Fejér
Richard Fuchs
Robert Haußner
Gerhard Hessenberg
Paul Koebe
Leon Lichtenstein
Hans Meyer
Robert Remak
Theodor Vahlen
Ernst Zermelo
Known for Cauchy–Schwarz inequality

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). He was married to Marie Kummer, a daughter of the mathematician Ernst Eduard Kummer and his wife Ottilie née Mendelssohn (a daughter of Nathan Mendelssohn's 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 complex analysis, 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 Lipót Fejér, Paul Koebe and Ernst Zermelo. He died in Berlin.

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