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  1. Quick Info. Born. 21 April 1869. Elze, Hanover, Prussia, now Germany. Died. 19 May 1940. Vienna, Austria. Summary. Philipp Furtwängler was a German mathematician best known for his number theory and in particular for his proof of the principal ideal theorem. View two larger pictures. Biography.

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    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 Furt...

    "Philipp Furtwängler". In: Österreichisches Biographisches Lexikon 1815–1950 (ÖBL). Vol. 1, Austrian Academy of Sciences, Vienna 1957, p. 383.
    Nikolaus Hofreiter (1961), "Furtwängler, Friedrich Pius Philipp", Neue Deutsche Biographie(in German), vol. 5, Berlin: Duncker & Humblot, pp. 740–740
    Literature by and about Philipp Furtwängler in the German National Librarycatalogue
    Friederich Pius Philipp Furtwängler at the MacTutor History of Mathematics archive
  2. 14 de feb. de 2024 · Furtwängler war einer der führenden Experten im Bereich der Zahlentheorie, wobei sein Hauptinteresse dem Beweis der Reziprozitätsgesetze in algebraischen Zahlkörpern und der Existenz des Klassenkörpers galt. Neben bedeutenden Arbeiten zur Geometrie der Zahlen gelang ihm auch der Beweis des Hauptidealsatzes.

  3. 9 de sept. de 2022 · Professor Philipp Furtwängler played an important role in Gödel’s ‘conversion’ to mathematics, and he must have been an impressive figure to many of his students. He was a cousin of the famous orchestra conductor Wilhelm Furtwängler, 8 and both had formidable ‘lion heads’ (Fig. 4.3 ).

    • William D. Brewer
    • wbrewer@zedat.fu-berlin.de
  4. Friedrich Pius Philipp Furtwängler (* 21. April 1869 in Elze; † 19. Mai 1940 in Wien) war ein deutscher Mathematiker, der vor allem auf dem Gebiet der Zahlentheorie tätig war.

  5. After attending lectures on number theory by the charismatic professor Philipp Furtwängler, brother of famed German conductor Wilhelm Furtwängler, he switched to mathematics. Furtwängler was paralyzed from the neck down and lectured from his wheel chair with an assistant writing his formulae on the board.

  6. Philipp Furtwängler was a German mathematician best known for his number theory and in particular for his proof of the principal ideal theorem. Mathematical Profile (Excerpt): Furtwängler attended elementary school in his home town of Elze and then he studied at the Andreanum Gymnasium in Hildesheim.