Kurt Wilhelm Sebastian Hansel ( German: Kurt Wilhelm Sebastian Hensel , 1861-1941) - German mathematician . Transactionses in the field of algebraic numbers , algebraic functions and the theory of Riemann surfaces . Known for the discovery of an unusual but extremely useful topological space of p-adic numbers (1897 [4] ). Member of the Leopoldin Academy (1908), President of the German Mathematical Society (1917), Honorary Doctor of the University of Oslo (1931).
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| Scientific field | maths |
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| Famous students | Abraham Frenkel Helmut Hasse |
| Awards and prizes | [d] |
Content
- 1 Biography and scientific activities
- 2 Major works
- 3 Literature
- 4 References
- 5 notes
Biography and scientific activities
Born in 1861 in Königsberg (then - Kingdom of Prussia ). The father of the scientist, Sebastian Ludwig Felix Hansel, was the son of artist William Hansel and singer Fanny Mendelssohn . On the line of his mother, Kurt Hansel was a descendant of the 18th century philosopher Moses Mendelssohn . Both grandmothers and the scientist's mother came from Jewish families who converted to Christianity.
Kurt Hansel received his mathematical education at the Humboldt University of Berlin and the University of Bonn , among his mentors were Leopold Kronecker and Karl Weierstrass . He graduated in 1884 [5] . Then he taught for some time in Berlin, and after defending his dissertation there, he was accepted as a teacher at the University of Marburg (full professor since 1901). In Marburg, Hansel worked until his retirement in 1930. In 1887, he married Gertrud Hahn , they had a son and three daughters. He died in 1941.
In 1897, Hansel discovered p-adic numbers [6] , which caused great interest and an avalanche of new research. The new number field has proven to be an indispensable tool in number theory , general algebra , and the theory of quadratic forms . Among Hansel's students were Abraham Frenkel and Helmut Hasse .
Hansel was the editor of the five-volume book of selected works of Leopold Kronecker. Between 1903-1936, he participated in the editing of the authoritative mathematical journal Crelle ( Journal für die reine und angewandte Mathematik ).
Major works
- Theorie der algebraischen Funktionen einer Variabeln und ihre Anwendung auf algebraische Kurven und Abelsche Integrale (zus. Mit Georg Landsberg). Teubner, Leipzig 1902
- Theorie der algebraischen Zahlen. Teubner, Leipzig 1908 [7]
- Zahlentheorie. Göschen, Berlin 1913 [8]
- Gedächtnisrede auf Ernst Eduard Kummer zu dessen 100. Geburtstag [9]
- Über eine neue Begründung der Theorie der algebraischen Zahlen, Jahresbericht DMV, Band 6, 1899
Literature
- Bogolyubov A.N. Hansel Kurt // Mathematics. The mechanics. Biographical reference . - Kiev: Naukova Dumka, 1983 .-- 639 p.
- Kolmogorov A.N., Yushkevich A.P. (Ed.). Mathematics of the XIX century. Volume I: Mathematical logic, algebra, number theory, probability theory. - M .: Science, 1978.
Links
- Kurt Wilhelm Sebastian Hansel
- John J. O'Connor and Edmund F. Robertson . Hansel, Kurt (English) - biography in the MacTutor archive.
- Hansel, Kurt (Eng.) In the project " Mathematical Genealogy "
- Kurt Hensel works in the Gutenberg project
- Proceedings in the Internet archive
- Helmut Hasse . Kurt Hensel zum Gedächtnis // Journal für die reine und angewandte Mathematik 187 (1949) , S. 1-13
- Die Hensel-Familie im Stammbaum der Katzenelnnbogen, der Mendelssohns und Bartholdys und ihre Abkömmlinge von 1729 bis ca. 1987
- Hansel, Kurt at the German National Library .
Notes
- ↑ 1 2 3 German National Library , Berlin State Library , Bavarian State Library , etc. Record # 118800337 // General regulatory control (GND) - 2012—2016.
- ↑ 1 2 Archive for the history of mathematics MacTyutor
- ↑ 1 2 SNAC - 2010.
- ↑ Rosen, Kenneth. 4 // Elementary Number Theory: and Its Applications / Emily Portwood and Mary Reynolds. - fifth. - Boston: PEARSON Addison Westley, 2005 .-- P. 170. - ISBN 0-321-23707-2 .
- ↑ Mathematics. Mechanics, 1983 , p. 127-128.
- ↑ Hensel, Kurt. Über eine neue Begründung der Theorie der algebraischen Zahlen (German) // Jahresbericht der Deutschen Mathematiker-Vereinigung: magazin. - 1897. - Bd. 6 , Nr. 3 . - S. 83-88 .
- ↑ Dickson, LE Hensel's Theory of Algebraic Numbers // Bull. Amer. Math. Soc. : journal. - 1910. - Vol. 17 , no. 1 . - P. 23-36 . - DOI : 10.1090 / S0002-9904-1910-01993-5 .
- ↑ Dickson, LE Review: Kurt Hensel, Zahlentheorie (Eng.) // Bull. Amer. Math. Soc. : journal. - 1914. - Vol. 20 , no. 5 . - P. 258—259 . - DOI : 10.1090 / s0002-9904-1914-02480-2 .
- ↑ Abhandlungen zur Geschichte der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen