Hans Hahn (mathematician)
Hans Hahn ( born September 27, 1879 in Vienna, † July 24, 1934 in Vienna ) was an Austrian mathematician and philosopher who is best known for the Hahn- Banach.
Life
Hahn began his academic career in 1898 with the purpose of studies in law at the University of Vienna. He turned to one year of mathematics and studied in Strasbourg and Munich. 1901 Hahn returned back to Vienna, where in 1902 his PhD thesis " On the theory of the second variation of simple integrals " and graduated as Dr. phil. was appointed. During his time at the Technical University in Vienna, he became friends with Paul Ehrenfest, Heinrich Tietze and Gustav Herglotz. With the work " Remarks on the calculus of variations ", he habilitated in 1905 at the University of Vienna. He taught in Chernivtsi, Bonn and from 1921 as full professor at the University of Vienna. His most famous student was Kurt Gödel, who completed his doctoral thesis in 1929. Hahn was also philosophically very interested and active member of the Vienna Circle. In 1934 he died at only 55 years of following an operation.
In 1926 he was president of the German Mathematical Society.
Services
The name Hans Hahn is best known by the Hahn- Banach. In addition, Hahn has made other important contributions to functional analysis, measure theory for (Hahn shear decomposition theorem ), for harmonic analysis and general topology. The largest part of Hahn's publications are those just mentioned writings mathematical content. Texts on philosophical Hans Hahn published until the beginning of the 30s. These revolved around epistemological considerations for the natural sciences.
Writings
- Logic, mathematics and knowledge of nature. In: Hubert Schleichert (ed.): Logical Empiricism - The Vienna Circle, Munich ( 1975).
- Superfluous entities ( Occam's Razor ). ibid
- Scientific conception of the world - The Vienna Circle. (together with Rudolf Carnap and Otto Neurath ) ibid
- Empiricism, logic, mathematics. With an introduction by Karl Menger. Edited by Brian McGuinness. Frankfurt ( 1988).
- About systems of linear equations in linear spaces. In: Journal of Pure and Applied Mathematics 157 (1927), p. 214-229. ( Original version of the theorem of Hahn- Banach )
- Real functions. Akademische Verlagsgesellschaft Leipzig ( 1932)