Kurt Hensel









































Kurt Hensel
Hensel Kurt.jpg
Born
Kurt Wilhelm Sebastian Hensel


(1861-12-29)29 December 1861

Königsberg, Prussia (present-day Kaliningrad, Russia)
Died 1 June 1941(1941-06-01) (aged 79)

Marburg, Germany
Nationality German
Alma mater
University of Bonn
University of Berlin
Known for
p-adic number, Hensel's lemma
Scientific career
Fields Mathematics
Doctoral advisor Leopold Kronecker
Doctoral students
Abraham Fraenkel, Helmut Hasse, Reinhold Strassmann


Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg.




Contents






  • 1 Life and career


  • 2 Publications


  • 3 See also


  • 4 References


  • 5 External links





Life and career


Hensel was born in Königsberg, East Prussia (today Kaliningrad, Russia), the son of Julia (née von Adelson) and landowner and entrepreneur Sebastian Ludwig Felix Hensel. He was the brother of philosopher Paul Hensel. Kurt and Paul's paternal grandparents were painter Wilhelm Hensel and composer Fanny Mendelssohn. Fanny was the sister of Felix Mendelssohn Bartholdy, daughter of Abraham Mendelssohn Bartholdy, and great-granddaughter of philosopher Moses Mendelssohn, and entrepreneur Daniel Itzig. Both of Hensel's paternal grandmothers and his mother were from Jewish families that had converted to Christianity.


Hensel studied mathematics in Berlin and Bonn, under the mathematicians Leopold Kronecker and Karl Weierstrass.


Later in his life Hensel was a professor at the University of Marburg until 1930. He was also an editor of the mathematical Crelle's Journal. He edited the five-volume collected works of Leopold Kronecker.


Hensel 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[3]


  • Zahlentheorie Göschen, Berlin 1913[4]

  • Gedächtnisrede auf Ernst Eduard Kummer zu dessen 100. Geburtstag[5]


  • Über eine neue Begründung der Theorie der algebraischen Zahlen, Jahresbericht DMV, Band 6, 1899



See also


  • Hensel's lemma


References





  1. ^ Hensel, Kurt (1897). "Über eine neue Begründung der Theorie der algebraischen Zahlen". Jahresbericht der Deutschen Mathematiker-Vereinigung. 6 (3): 83–88..mw-parser-output cite.citation{font-style:inherit}.mw-parser-output q{quotes:"""""""'""'"}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-limited a,.mw-parser-output .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}


  2. ^ Rosen, Kenneth (2005). "4". In Emily Portwood and Mary Reynolds. Elementary Number Theory: and Its Applications (fifth ed.). Boston: PEARSON Addison Westley. p. 170. ISBN 0-321-23707-2.


  3. ^ Dickson, L. E. (1910). "Hensel's Theory of Algebraic Numbers". Bull. Amer. Math. Soc. 17 (1): 23–36. doi:10.1090/S0002-9904-1910-01993-5.


  4. ^ Dickson, L. E. (1914). "Review: Kurt Hensel, Zahlentheorie". Bull. Amer. Math. Soc. 20 (5): 258–259. doi:10.1090/s0002-9904-1914-02480-2.


  5. ^ 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.


  • Works by Kurt Hensel at Project Gutenberg


  • Works by or about Kurt Hensel at Internet Archive


  • 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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