Erhard Scholz

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Erhard Scholz (* 1947 ) is a German math historian and professor at the Bergische Universität Wuppertal .

Life

Scholz studied mathematics at the University of Bonn and the University of Warwick from 1968 to 1975 . In 1979 he did his doctorate at the University of Bonn under Egbert Brieskorn and Henk Bos (development of the concept of manifold from Riemann to Poincaré). In 1986 he completed his habilitation at the Bergische Universität Wuppertal , where he became associate professor for the history of mathematics in 1989. He is also employed at the local interdisciplinary center for science and technology research, which he co-founded in 2004. In 1993 he was visiting professor at the Institute for the History of Science at the University of Göttingen .

Among other things, Scholz dealt with the origin of the concept of manifold , among other things with Bernhard Riemann , and the relationship of mathematics to the applications in the 19th century, for example with Culmann 's graphic statics and the determination of the crystallographic space groups by Fjodorow as well as the applied contributions of the creator of vector calculation Hermann Graßmann , also the question of whether Carl Friedrich Gauß pursued considerations on non-Euclidean geometry in his geodetic work. In continuation of these investigations on the beginnings of group theory and the concept of manifold, he also dealt intensively with Hermann Weyl , in particular his work in connection with general relativity theory , cosmology, gauge theory and quantum mechanics, where he also built on Weyl's work "Weyl geometries" in the Studied cosmology. He also dealt with Oswald Teichmüller , about whom he wrote an article in the Dictionary of Scientific Biography and in the annual report of the German Mathematicians Association (with Norbert Schappacher ). Scholz also pursued connections between the history of mathematics and philosophy, such as that from Bernhard Riemann to Johann Friedrich Herbart , from Schelling to crystallography and to Hermann Weyl's philosophy of mathematics and its relationship to Gottfried Wilhelm Leibniz .

He is co-editor of the collected works of Felix Hausdorff (with Friedrich Hirzebruch , Reinhold Remmert , Walter Purkert , Egbert Brieskorn ).

Fonts

  • History of the concept of manifold from Riemann to Poincaré, Birkhäuser 1980
  • The Concept of Manifold 1850-1940, in Ioan James (Editor) History of Topology , Elsevier 1999, pp 25-64
  • Symmetry-group-duality. On the relationship between theoretical mathematics and applications in crystallography and structural engineering in the 19th century. Birkhäuser, Basel, German Science Publishing House, Berlin 1989
  • Editor: History of Algebra, Bibliographisches Institut, Mannheim 1990
  • Editor: Hermann Weyl's Raum-Zeit-Materie and a general introduction to his scientific work, Birkhäuser 2001

Web links

References

  1. ↑ Scholz Herbart's influence on Bernhard Riemann , Historia Mathematica, Volume 9, 1982, pp. 413-440
  2. ↑ Scholz Schelling and the dynamic crystallography in the 19th century , in self-organization, Yearbook for Complexity in the Natural, Humanities and Social Sciences, Volume 5, 1994, 219–230, Scholz Symmetrie-Gruppe-Dualität , 1989
  3. ↑ Scholz Leibnizian traces in Hermann Weyl's Philosophy of Mathematics and Natural Sciences , in R. Krömer, Y. Chin-Drian (ed.), New Essays on Leibniz reception , Birkhäuser 2012, 203–216
  4. ↑ Hausdorff Edition ( Memento of the original from April 28, 2010 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.hausdorff-edition.de
personal data
SURNAME Scholz, Erhard
BRIEF DESCRIPTION German math historian and university professor
DATE OF BIRTH 1947