Furtwängler wrote an 1896 doctoral dissertation at the University of Göttingen on cubic forms (Zur Theorie der in Linearfaktoren zerlegbaren ganzzahligen ternären kubischen Formen), under Felix Klein. Most of his academic life, from 1912 to 1938, was spent at the University of Vienna, where he taught for example Kurt Gödel, who later said that Furtwängler's lectures on number theory were the best mathematical lectures that he ever heard; Gödel had originally intended to become a physicist but turned to mathematics partly as a result of Furtwängler's lectures. Furtwängler was paralysed and, without notes, lectured from a wheelchair while his assistant wrote equations on the blackboard.[1]
He is now best known for his contribution to the principal ideal theorem in the form of his Beweis des Hauptidealsatzes für Klassenkörper algebraischer Zahlkörper (1929).
Philipp Furtwängler was a grandson of the organ builder Philipp Furtwängler (1800-1867) and a second cousin of the conductor Wilhelm Furtwängler.[3]
Selected publications
with Helmut Hasse and W. Jehne: Allgemeine Theorie der algebraischen Zahlen. Vol. 8. Teubner, 1953.[4]
^Whaples, George (1956). "Review of Allgemeine Theorie der algebraischen Zahlen by Ph. Furtwängler. Reworked by H. Hasse and W. Jehne". Bull. Amer. Math. Soc. 62: 73. doi:10.1090/S0002-9904-1956-09988-4.
philipp, furtwängler, friederich, pius, april, 1869, 1940, german, number, theorist, born, 1869, april, 1869elze, north, german, confederationdiedmay, 1940, 1940, aged, vienna, austriaoccupationmathematicianknown, forprincipal, ideal, theoremscientific, career. Friederich Pius Philipp Furtwangler April 21 1869 May 19 1940 was a German number theorist Philipp FurtwanglerBorn 1869 04 21 April 21 1869Elze North German ConfederationDiedMay 19 1940 1940 05 19 aged 71 Vienna AustriaOccupationMathematicianKnown forPrincipal ideal theoremScientific careerDoctoral advisorFelix KleinDoctoral studentsWolfgang Grobner Nikolaus Hofreiter Henry Mann Otto Schreier Olga Taussky Todd Contents 1 Biography 2 Selected publications 3 See also 4 References 5 Sources 6 External linksBiography EditFurtwangler wrote an 1896 doctoral dissertation at the University of Gottingen on cubic forms Zur Theorie der in Linearfaktoren zerlegbaren ganzzahligen ternaren kubischen Formen under Felix Klein Most of his academic life from 1912 to 1938 was spent at the University of Vienna where he taught for example Kurt Godel who later said that Furtwangler s lectures on number theory were the best mathematical lectures that he ever heard Godel had originally intended to become a physicist but turned to mathematics partly as a result of Furtwangler s lectures Furtwangler was paralysed and without notes lectured from a wheelchair while his assistant wrote equations on the blackboard 1 Some of Furtwangler s doctoral students were Wolfgang Grobner Nikolaus Hofreiter Henry Mann Otto Schreier and Olga Taussky Todd Through these and others he has over 3000 academic descendants 2 He is now best known for his contribution to the principal ideal theorem in the form of his Beweis des Hauptidealsatzes fur Klassenkorper algebraischer Zahlkorper 1929 Philipp Furtwangler was a grandson of the organ builder Philipp Furtwangler 1800 1867 and a second cousin of the conductor Wilhelm Furtwangler 3 Selected publications Editwith Helmut Hasse and W Jehne Allgemeine Theorie der algebraischen Zahlen Vol 8 Teubner 1953 4 See also EditEisenstein reciprocity Hilbert class field Keller s conjecture Kummer Vandiver conjecture Principalization algebra References Edit Moore Gregory Sep Oct 2005 The Incomplete Godel American Scientist 93 5 464 doi 10 1511 2005 55 464 Philipp Furtwangler at the Mathematics Genealogy Project Furtwangler family tree Whaples George 1956 Review of Allgemeine Theorie der algebraischen Zahlen by Ph Furtwangler Reworked by H Hasse and W Jehne Bull Amer Math Soc 62 73 doi 10 1090 S0002 9904 1956 09988 4 Sources Edit Philipp Furtwangler In Osterreichisches Biographisches Lexikon 1815 1950 OBL Vol 1 Austrian Academy of Sciences Vienna 1957 p 383 Nikolaus Hofreiter 1961 Furtwangler Friedrich Pius Philipp Neue Deutsche Biographie in German vol 5 Berlin Duncker amp Humblot pp 740 740External links EditLiterature by and about Philipp Furtwangler in the German National Library catalogue http bibliothek bbaw de kataloge literaturnachweise furtwaen literatur pdf PDF Datei 35 kB Friederich Pius Philipp Furtwangler at the MacTutor History of Mathematics archive This article about an Austrian scientist is a stub You can help Wikipedia by expanding it vte This article about a European mathematician is a stub You can help Wikipedia by expanding it vte This article about a German mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Philipp Furtwangler amp oldid 1133039649, wikipedia, wiki, book, books, library,
