Arthur Rosenthal (mathematician)
Arthur Rosenthal (born February 24, 1887 in Fürth , † September 15, 1959 in Lafayette (Indiana) ) was a German mathematician.
Rosenthal was the son of a businessman, grew up in Munich and studied after graduating from the Wilhelmsgymnasium Munich from 1905 in Munich ( Ludwig Maximilians University Munich and Technical University Munich , among others with Ferdinand Lindemann and Arnold Sommerfeld ) and at the University of Göttingen . In 1909 he received his doctorate in Munich ("Investigations into polyhedra of equal areas") and passed the teaching examination there in the same year. After that he was an assistant at the Mathematical Institute of the Technical University of Munich until 1911. In 1912 he completed his habilitation at the University of Munich. During the First World War he did his military service. In 1920 he became an associate professor in Munich. In 1922 he became a scheduled associate professor and in 1930 a full professor at the Ruprecht-Karls-Universität Heidelberg , where he was dean of the mathematics and natural science faculty in 1932/33. As a Jew, his license to teach was withdrawn under National Socialist law in 1935, which is why he was forced to retire and in 1936 emigrated to the USA via the Netherlands in 1939. In 1940 he became a Lecturer and Research Fellow at the University of Michigan and in 1943 Assistant Professor . From 1946 he was associate professor at the University of New Mexico and from 1947 until his retirement in 1957 professor at Purdue University in Lafayette . It was not until 1954 that he was formally reinstated in Heidelberg.
Rosenthal mainly dealt with geometry, here especially the classification of polyhedra with the same surface , Hilbert's system of axioms of geometry and the theory of real functions, and others. a. to Constantin Carathéodory's theory of measure . For the Encyclopedia of Mathematical Sciences he edited the contributions on real functions published in the French edition by Émile Borel .
Simultaneously with Michel Plancherel in 1913 he proved the impossibility of the existence of ergodic mechanical systems , i.e. dynamic systems in which the trajectory of the solution runs through every point of the phase space on the energy surface.
He had been a member of the Heidelberg Academy of Sciences since 1930, but was not listed in the membership lists from 1933 to 1945.
Fonts
- Recent studies on the functions of real variables, Encyclopedia of Mathematical Sciences, 1924
- with H. Hahn: Set Functions, Albuquerque 1948
- Introduction to the theory of Measure and Integration, Stillwater 1955
Web links
- Gabriele Dörflinger: Artur Rosenthal . A collection of material from Historia Mathematica Heidelbergensis .
- Otto Haupt, Arthur Rosenthal , Annual Report DMV Vol. 63, 1960, pp. 89–96
References
- ^ Annual report on the K. Wilhelms-Gymnasium in Munich. ZDB ID 12448436 , 1904/05
- ↑ Stephen Brush Proof of the Impossibility of Ergodic Systems: The 1913 Papers of Rosenthal and Plancherel , Transport Theory and Statistical Physics , Vol. 1, 1971, pp. 287-311. With English translation of the work of Rosenthal and Plancherel
- ↑ Cf. Gabriele Dörflinger: Mathematics in the Heidelberg Academy of Sciences . 2014, p. 66
| personal data | |
|---|---|
| SURNAME | Rosenthal, Arthur |
| BRIEF DESCRIPTION | German mathematician |
| DATE OF BIRTH | February 24, 1887 |
| PLACE OF BIRTH | Fuerth |
| DATE OF DEATH | September 15, 1959 |
| Place of death | Lafayette (Indiana) |