Ernst Steinitz
Ernst Steinitz ( born June 13, 1871 in Laura Cottage, Upper Silesia, † September 29, 1928 in Kiel ) was a German mathematician.
Life
1890 Steinitz began his studies at the University of Breslau, 1891-1893, he studied in Berlin and received his doctorate after his return to Breslau 1894 "On the construction of new products of Configurationen n3 " at Jacob Rosanes.
He habilitated in 1897 at the Technical University Berlin -Charlottenburg, where he became a lecturer. In 1910 he returned as a full professor at the Technische Hochschule in Breslau, from 1918 he was also ordinary honorary professor at the local university. Eventually, he became in 1920 professor at the University of Kiel. He gave lectures on his scientific research areas algebra, polyhedral theory and analysis situs (topology ), as well as, inter alia, on number theory, function theory, set theory, geometry, vector analysis and mechanics. Together with Otto Toeplitz and Helmut Hasse, he organized seminars. In 1928 he fell ill with an incurable heart ailment in which he died later the same year. He was buried in Breslau.
Steinitz was Jewish. His widow moved to his death in Breslau, emigrated during the coming to power of the Nazis with the son to Palestine, but returned to Breslau, was deported to Theresienstadt and was murdered in 1942 in the Treblinka extermination camp. The son remained in Palestine, where he died in 1948.
Work
Steinitz wrote seminal works on algebra, especially for field theory. His rich, diverse and influential mathematical work still finds a lot of attention. Besides the two major works on field theory and the theory of polyhedra, he has, among other things Contributions to the theory of modules (1899, 1912), of Abelian groups (1901) and the conditionally convergent series (1913, 1914, 1916) delivered. For the " Encyclopedia of Mathematical Sciences " he has the article " configurations of projective geometry " and " polyhedron and floor plans " written.
In 1910 was published in the "Journal for Pure and Applied Mathematics" Steinitz ' great work " Algebraic theory of the body ", which can be considered as the origin of today's conception of algebra by Bourbaki. In this paper he studied the properties of bodies and defined important concepts such as the prime field, the perfect body and the transcendence degree of a field extension. He proved that every body has an algebraically closed extension field.
Steinitz has for many years engaged in the theory of polyhedra. His "Lectures on the theory of polyhedra, including the elements of the topology " were published posthumously in 1934 as Volume XLI of the " fundamental doctrines of the mathematical sciences " by Hans Rademacher. The treated there Characterization of combinatorially defined polyhedron that allow a realization as a convex polyhedron in space, is presented today as one of the main results of polyhedral theory.
The Austauschlemma of Steinitz Steinitz rearrangement theorem and are still associated with his name.
Publications (selection)
- Hans Rademacher, Lectures on the theory of polyhedra, including the elements of the topology, Reprint of the edition of 1934, Springer Verlag, 1976 ( The basic teachings of the mathematical sciences in monographs with special consideration of the application ) ISBN 0-387-06293-9
- Algebraic theory of the body, new ed., With Erl Ernst Steinitz. With an appendix: demolition d Galois theory of Reinhold Baer and Helmut Hasse - Berlin:. W. de Gruyter & Co., 1930 First appeared in the Journal of Pure and Applied Mathematics, Volume 137, pp. 167-309, 1910.
- On the theory of moduli, Mathematische Annalen, Vol 52, pp. 1-57, 1899
- On the theory of Abelian groups, annual report of the German Mathematical Society, Volume 9, pp. 80-85, 1901