# Hermann Schwarz

Hermann Amandus Schwarz ( born January 25, 1843 in Hermsdorf, Silesia, † November 30, 1921 in Berlin) was a German mathematician. With his wife Marie, nee Kummer (1842-1921), a daughter of the mathematician Ernst Eduard Kummer and his first wife Ottilie, née Mendelssohn ( daughter of Nathan Mendelssohn and granddaughter of Moses Mendelssohn ), he had six children.

Schwarz studied chemistry in Berlin at first, then by the action of Ernst Eduard Kummer and Karl Weierstrass mathematics, where he received his doctorate in 1864. Between 1867 and 1869 he was a professor in Halle, then at ETH Zurich. Since 1875 he worked at the University of Göttingen and finally in 1892 at the Berlin Academy of Sciences.

Black dealt in particular with the theory of functions and the theory of minimal surfaces. Particularly noteworthy are his work on Riemann mapping theorem ( Schwarz - Christoffel transformation), the solution of the first boundary value task for the county and his work on the hypergeometric differential equation. Named after him, the Cauchy- Schwarz inequality, the Schwarz lemma, the lemma of Schwarz - Pick, the Schwarz reflection principle and the set of black.

When he received his fourth and Carl Schilling, Paul Koebe, more students were Leopold Fejér, Leon Lichtenstein, Gerhard Hessenberg, Chaim Muntz, Robert Remak, Theodor Vahlen and Ernst Zermelo.

## Writings

- De superficiebus in planum explicabilibus primorum septem ordinum. Dissertation University of Berlin in 1864
- Collected mathematical papers. 2 vols Berlin ( 1890)
- Formulas and theorems for the use of elliptic functions, by lectures and notes of Mr. K. Weierstrass. Berlin 1893