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Adolf Hurwitz and David Hilbert. Two Universal Mathematicians

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Adolf Hurwitz and David Hilbert. Two Universal Mathematicians Würzburg N. Oswald Workshop: Adolf Hurwitz and David Hilbert. Two universal mathematicians. Nicola Oswald July 22, 2014 1 / 40 Workshop A definition... Würzburg N. Oswald a place where things are made or repaired 2 / 40 Workshop A definition... Würzburg N. Oswald a place where things are made or repaired a class or series of classes in which a small group of people learn the methods and skills used in doing something 2 / 40 Research question Teacher-Student-Relation. Würzburg N. Oswald Question Adolf Hurwitz and David Hilbert: When was the turning point in their relationship? Who benefited from whom? 3 / 40 1857 - 1919 German mathematics. Würzburg N. Oswald 4 / 40 1859 Adolf Hurwitz, born in... Würzburg N. Oswald 5 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim Student of H.C.H. Schubert ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim Student of H.C.H. Schubert 1881 Doctorate with advisor Felix Klein ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim Student of H.C.H. Schubert 1881 Doctorate with advisor Felix Klein 1882 Habilitation in Göttingen ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim Student of H.C.H. Schubert 1881 Doctorate with advisor Felix Klein 1882 Habilitation in Göttingen 1884 Professorship in Königsberg ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim Student of H.C.H. Schubert 1881 Doctorate with advisor Felix Klein 1882 Habilitation in Göttingen 1884 Professorship in Königsberg 1892 Professorship at Polytechnic (ETH) Zurich ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A zealous character. Würzburg N. Oswald * 1859 in Hildesheim Student of H.C.H. Schubert 1881 Doctorate with advisor Felix Klein 1882 Habilitation in Göttingen 1884 Professorship in Königsberg 1892 Professorship at Polytechnic (ETH) Zurich | 1919 in Zurich ”He was of enormous reliability, loyalty and love of justice.” Ida Samuel-Hurwitz, Biographical Dossier, Archive ETH Zurich. 6 / 40 Adolf Hurwitz. A mathematical talent with prominent contacts. Würzburg N. Oswald Additive Geometry: Theorem of Chasles (1876) 7 / 40 Adolf Hurwitz. A mathematical talent with prominent contacts. Würzburg N. Oswald Additive Geometry: Theorem of Chasles (1876) Modular Forms (1881), Riemann-Hurwitz-Formula (1893) 7 / 40 Adolf Hurwitz. A mathematical talent with prominent contacts. Würzburg N. Oswald Additive Geometry: Theorem of Chasles (1876) Modular Forms (1881), Riemann-Hurwitz-Formula (1893) Theorem about zeros of sequences of functions (1889) 7 / 40 Adolf Hurwitz. A mathematical talent with prominent contacts. Würzburg N. Oswald Additive Geometry: Theorem of Chasles (1876) Modular Forms (1881), Riemann-Hurwitz-Formula (1893) Theorem about zeros of sequences of functions (1889) Results on continued fraction expansions (since 1882) 7 / 40 Adolf Hurwitz. A mathematical talent with prominent contacts. Würzburg N. Oswald Additive Geometry: Theorem of Chasles (1876) Modular Forms (1881), Riemann-Hurwitz-Formula (1893) Theorem about zeros of sequences of functions (1889) Results on continued fraction expansions (since 1882) Approximation Theorem (1891) Since 1888 regular exchange with 7 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz 1885 Doctorate supervized by Ferdinand Lindemann ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz 1885 Doctorate supervized by Ferdinand Lindemann 1885/6 at the University of Leipzig (Felix Klein), Stay in Paris ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz 1885 Doctorate supervized by Ferdinand Lindemann 1885/6 at the University of Leipzig (Felix Klein), Stay in Paris 1886 Habilitation in Königsberg ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz 1885 Doctorate supervized by Ferdinand Lindemann 1885/6 at the University of Leipzig (Felix Klein), Stay in Paris 1886 Habilitation in Königsberg 1892 Professorship in Königsberg ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz 1885 Doctorate supervized by Ferdinand Lindemann 1885/6 at the University of Leipzig (Felix Klein), Stay in Paris 1886 Habilitation in Königsberg 1892 Professorship in Königsberg 1895 Professorship in Göttingen ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 David Hilbert. As well a zealous character. Würzburg * 1862 in Königsberg N. Oswald Student of Adolf Hurwitz 1885 Doctorate supervized by Ferdinand Lindemann 1885/6 at the University of Leipzig (Felix Klein), Stay in Paris 1886 Habilitation in Königsberg 1892 Professorship in Königsberg 1895 Professorship in Göttingen | 1943 in Göttingen ” [...] Then Hilbert’s greatness is based on an overwhelming sensibility.” Otto Blumenthal, Lebensgeschichte, Collected Papers of David Hilbert, 1932 8 / 40 Königberg 1884 - 1892 Triumvirat. Würzburg N. Oswald 9 / 40 Königsberg 1884 - 1892 Hilbert. Würzburg N. Oswald 10 / 40 Königsberg 1884 - 1892 Hilbert. Würzburg N. Oswald ”At that time still a student, Hurwitz soon encouraged me for a scientific exchange and I was lucky, that by being together with him, in the easiest and most interesting way, I got to know the directions of thoughts of the at that time opposite, however each other superbly complementing shools, the geometrical school of Klein and the algebraic-analytical school of Berlin. [...]” ’Adolf Hurwitz’, David Hilbert, 1921 11 / 40 Königsberg 1884 - 1892 Hilbert as a student. Würzburg N. Oswald ”New ideas were stimulated by the Mathematical Colloquium [...], however, in particular by the walks with Hurwitz ”precisely at 5 o’clock in the afternoon next to the apple tree”. ” Lebensgeschichte, Otto Blumenthal, 1932 Let’s start the analysis... In the beginning naturally it was Hilbert, who benefited of his teacher Hurwitz. Their roles were still clear defined. 12 / 40 The corpus of investigation: Adolf Hurwitz’s estate in the ETH Zurich. Würzburg N. Oswald In the directory HS 582 and 583 of the archive in Zurich references to Hilbert can be found: Greeting cards from conferences 13 / 40 The corpus of investigation: Adolf Hurwitz’s estate in the ETH Zurich. Würzburg N. Oswald In the directory HS 582 and 583 of the archive in Zurich references to Hilbert can be found: Greeting cards from conferences Lectures notes of Hilbert, edited by Julius Hurwitz 13 / 40 The corpus of investigation: Adolf Hurwitz’s estate in the ETH Zurich. Würzburg N. Oswald In the directory HS 582 and 583 of the archive in Zurich references to Hilbert can be found: Greeting cards from conferences Lectures notes of Hilbert, edited by Julius Hurwitz A biographical dossier of Ida Samuel-Hurwitz 13 / 40 The corpus of investigation: Adolf Hurwitz’s estate in the ETH Zurich. Würzburg N. Oswald In the directory HS 582 and 583 of the archive in Zurich references to Hilbert can be found: Greeting cards from conferences Lectures notes of Hilbert, edited by Julius Hurwitz A biographical dossier of Ida Samuel-Hurwitz A letter of condolence to Ida Samuel-Hurwitz by David Hilbert 13 / 40 The corpus of investigation: Adolf Hurwitz’s estate in the ETH Zurich. Würzburg N. Oswald In the directory HS 582 and 583 of the archive in Zurich references to Hilbert can be found: Greeting cards from conferences Lectures notes of Hilbert, edited
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