Kurt Hensel: Difference between revisions
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He is well known for his introduction of [[p-adic number|''p''-adic number]]s. First described by him in 1897,<ref>{{cite journal | last = Hensel | first = Kurt | title = Über eine neue Begründung der Theorie der algebraischen Zahlen | journal = [http://www.digizeitschriften.de/resolveppn/PPN37721857X&L=2 Jahresbericht der Deutschen Mathematiker-Vereinigung] | volume = 6 | year = 1897 | issue = 3 | pages = 83–88 | url = http://www.digizeitschriften.de/resolveppn/GDZPPN00211612X&L=2}}</ref> they became increasingly important in [[number theory]] and other fields during the twentieth century.<ref>{{cite book | last = Rosen | first = Kenneth | editor = Emily Portwood and Mary Reynolds | title = Elementary Number Theory: and Its Applications | edition = fifth | year = 2005 | publisher = PEARSON Addison Westley | location = Boston | isbn = 0-321-23707-2 | chapter = 4 | page = 170}}</ref> |
He is well known for his introduction of [[p-adic number|''p''-adic number]]s. First described by him in 1897,<ref>{{cite journal | last = Hensel | first = Kurt | title = Über eine neue Begründung der Theorie der algebraischen Zahlen | journal = [http://www.digizeitschriften.de/resolveppn/PPN37721857X&L=2 Jahresbericht der Deutschen Mathematiker-Vereinigung] | volume = 6 | year = 1897 | issue = 3 | pages = 83–88 | url = http://www.digizeitschriften.de/resolveppn/GDZPPN00211612X&L=2}}</ref> they became increasingly important in [[number theory]] and other fields during the twentieth century.<ref>{{cite book | last = Rosen | first = Kenneth | editor = Emily Portwood and Mary Reynolds | title = Elementary Number Theory: and Its Applications | edition = fifth | year = 2005 | publisher = PEARSON Addison Westley | location = Boston | isbn = 0-321-23707-2 | chapter = 4 | page = 170}}</ref> |
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==Publications== |
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* ''Theorie der algebraischen Funktionen einer Variabeln und ihre Anwendung auf algebraische Kurven und Abelsche Integrale'' (zus. mit Georg Landsberg) Teubner, Leipzig 1902 |
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* ''Theorie der algebraischen Zahlen'' Teubner, Leipzig 1908 |
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* ''Zahlentheorie'' Göschen, Berlin 1913 |
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* ''Gedächtnisrede auf [[Ernst Eduard Kummer]] zu dessen 100. Geburtstag <ref>[http://quod.lib.umich.edu/cgi/t/text/pageviewer-idx?c=umhistmath;cc=umhistmath;idno=acd4271.0007.001;frm=frameset;view=image;seq=10;page=root;size=s Abhandlungen zur Geschichte der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen<!-- Bot generated title -->]</ref> |
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*[http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=GDZPPN00211612X ''Über eine neue Begründung der Theorie der algebraischen Zahlen'', Jahresbericht DMV, Band 6, 1899] |
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==See also== |
==See also== |
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Revision as of 12:17, 6 September 2012
Kurt Hensel | |
|---|---|
 | |
| Born | Kurt Wilhelm Sebastian Hensel 29 December 1861 |
| Died | 1 June 1941 (aged 79) |
| Nationality | German |
| Alma mater | University of Bonn University of Berlin |
| Known for | p-adic numbers, Hensel's lemma |
| Scientific career | |
| Fields | Mathematics |
| Doctoral advisor | Leopold Kronecker |
| Doctoral students | Abraham Fraenkel, Helmut Hasse |
Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg, Prussia.
Life and career
Hensel was born in Königsberg, Germany (today Kaliningrad, Russia), the son of Julia (née von Adelson) and Sebastian Ludwig Felix Hensel, who was a landowner and entrepreneur. His paternal grandparents were painter Wilhelm Hensel and composer Fanny Mendelssohn. Through his grandmother, he was a descendant of the philosopher Moses Mendelssohn. Hensel was the brother of the philosopher Paul Hensel. Both his paternal grandmother and his mother were from Jewish families that had converted to Christianity.
Hensel studied mathematics in Berlin and Bonn, under mathematicians like Leopold Kronecker and Karl Weierstrass.
Later in his life he was a professor at the University of Marburg until 1930. He was also an editor of the mathematical Crelle's Journal.
He is well known for his introduction of p-adic numbers. First described by him in 1897,[1] they became increasingly important in number theory and other fields during the twentieth century.[2]
Publications
- 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
- Zahlentheorie Göschen, Berlin 1913
- Gedächtnisrede auf Ernst Eduard Kummer zu dessen 100. Geburtstag [3]
- Über eine neue Begründung der Theorie der algebraischen Zahlen, Jahresbericht DMV, Band 6, 1899
See also
- Hensel's lemma, named after him
References
- ^ Hensel, Kurt (1897). "Über eine neue Begründung der Theorie der algebraischen Zahlen". Jahresbericht der Deutschen Mathematiker-Vereinigung. 6 (3): 83–88.
{{cite journal}}: External link in|journal= - ^ Rosen, Kenneth (2005). "4". In Emily Portwood and Mary Reynolds (ed.). Elementary Number Theory: and Its Applications (fifth ed.). Boston: PEARSON Addison Westley. p. 170. ISBN 0-321-23707-2.
- ^ Abhandlungen zur Geschichte der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen
External links
- Kurt Hensel at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Kurt Hensel", MacTutor History of Mathematics Archive, University of St Andrews
- Helmut Hasse: Kurt Hensel zum Gedächtnis in: Journal für die reine und angewandte Mathematik 187 (1949), S. 1-13
- Die Hensel-Familie im Stammbaum der Katzenelnbogen, der Mendelssohns und Bartholdys und ihre Abkömmlinge von 1729 bis ca. 1987
- Literature by and about Kurt Hensel in the German National Library catalogue
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- 20th-century mathematicians
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- People from Königsberg
- People from the Province of Prussia
- University of Bonn alumni
- University of Marburg faculty
- Mendelssohn family