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Adolf Hurwitz

Adolf Hurwitz (German: [ˈaːdɔlf ˈhʊʁvɪts]; 26 March 1859 – 18 November 1919) was a German mathematician who worked on algebra, analysis, geometry and number theory.

Adolf Hurwitz

(1859-03-26)26 March 1859

Hildesheim, Kingdom of Hanover (now part of Germany)

18 November 1919(1919-11-18) (aged 60)

Zürich, Switzerland

Early life[edit]

He was born in Hildesheim, then part of the Kingdom of Hanover, to a Jewish family and died in Zürich, in Switzerland. His father Salomon Hurwitz, a merchant, was not wealthy. Hurwitz's mother, Elise Wertheimer, died when he was three years old.[1] Family records indicate that he had siblings and cousins, but their names have yet to be confirmed except for an older brother, Julius, with whom he developed an arithmetical theory for complex continued fractions circa 1890.[2] Hurwitz entered the Realgymnasium Andreanum in Hildesheim in 1868. He was taught mathematics there by Hermann Schubert.[3] Schubert persuaded Hurwitz's father to allow him to attend university, and arranged for Hurwitz to study with Felix Klein at Munich.[3] Salomon Hurwitz could not afford to send his son to university, but his friend, Mr. Edwards, assisted financially.

Educational career[edit]

Hurwitz entered the University of Munich in 1877, aged 18. He spent one year there attending lectures by Klein, before spending the academic year 1877–1878 at the University of Berlin where he attended classes by Kummer, Weierstrass and Kronecker,[1] after which he returned to Munich.


In October 1880, Felix Klein moved to the University of Leipzig. Hurwitz followed him there, and became a doctoral student under Klein's direction, finishing a dissertation on elliptic modular functions in 1881. Following two years at the University of Göttingen, in 1884 he was invited to become an Extraordinary Professor at the Albertus Universität in Königsberg; there he encountered the young David Hilbert and Hermann Minkowski, on whom he had a major influence. Following the departure of Frobenius, Hurwitz took a chair at the Eidgenössische Polytechnikum Zürich (today the ETH Zürich) in 1892 (having to turn down a position at Göttingen shortly after[1]), and remained there for the rest of his life.


Throughout his time in Zürich, Hurwitz was in continual ill health, which had been originally caused when he contracted typhoid whilst a student in Munich. He had severe migraines, and then in 1905, his kidneys became diseased and he had one removed.

Family[edit]

In 1884, whilst at Königsberg, Hurwitz met and married Ida Samuel, the daughter of a professor in the faculty of medicine. They had three children.

Hurwitz, A., 1898. . Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, 1898, pp. 309–316.

Ueber die Composition der quadratischen Formen von beliebig vielen Variablen

Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen (= Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. vol. 3,  0072-7830). Edited and supplemented by a section on geometric Funktionentheorie by Richard Courant. Springer, Berlin 1922 (4th, extended and edition with an appendix by Helmut Röhrl, ibid 1964, online text)

ISSN

Mathematische Werke. Publlished by the Department of Mathematics and Physics of the Eidgenössischen Technischen Hochschule in Zürich. 2 vols. Birkhäuser, Basel 1932–1933 (with a memoir on Hurwitz by Ernst Meissner)

Übungen zur Zahlentheorie. 1891–1918 (= Schriftenreihe der ETH-Bibliothek. vol. 32,  504558-7). Translated by Barbara Aquilino. As a duplicated manuscript edited by Herbert Funk and Beat Glaus. ETH-Bibliothek, Zürich 1993, doi:10.3929/ethz-a-001313794.

ZDB-ID

Edited for publication by Nikolaos Kritikos. Translated with some additional material (from the German) by William C. Schulz. Springer, New York 1986, ISBN 0-387-96236-0.

Lectures on Number Theory.

: Einleitung in die Theorie der analytischen Funktionen. Vorlesung Berlin 1878 (= Dokumente zur Geschichte der Mathematik. vol. 4). In a transcript by Adolf Hurwitz. Edited by Peter Ullrich. Vieweg, Braunschweig 1988, ISBN 3-528-06334-3.

Karl Weierstraß

at the Mathematics Genealogy Project

Adolf Hurwitz

LMS obituary

Archived 16 February 2012 at the Wayback Machine

Recording of the 2008 "Hurwitz Memorial Lecture" (Prof. Christos H. Papadimitriou)