Heinrich Martin Weber

Heinrich Martin Weber ( born March 5, 1842 in Heidelberg, † May 17 1913 in Strasbourg ) was a German mathematician.

Life

Heinrich Weber was the son of the historian Georg Weber. 1860 studied in Heidelberg, Leipzig, and Königsberg. He habilitated in 1866 in Heidelberg, and in 1869 associate professor there, but came out later that year to teach at the ETH Zurich. There he married in 1870 Emilie Dittenberger in 1874 gave him the son Rudolf Heinrich Weber.

From 1875 to 1883 he worked at the Albertus University of Königsberg; Felix Klein described this period as "his best years." In this period also the important work " theory of algebraic functions of one variable " with Richard Dedekind. 1880/81 he was vice-rector of the Albertina. The following years brought him to the Technical University of Charlottenburg and at the University of Marburg. There he was 1890/91 Rector. He moved to the Georg -August- University of Göttingen and in 1895 at the Kaiser Wilhelm University of Strasbourg. 1900/ 01 he was here for the third time rector.

1895 and 1904 he was president of the German Mathematical Society.

Work

Weber's work covers a broad spectrum within mathematics, and he also worked extensively on the integration of different areas. The work " theory of algebraic functions of one variable " (with Dedekind ) is an algebraic foundation of the theory of Riemann surfaces up to the Riemann - Roch theorem dar. He also contributed significantly to the development of class field theory.

Weber's work and especially his textbook on algebra in 1895, which was a standard work for a long time, also influenced the terminology; by Hans Wussing to be called the normal subgroup of Weber come.

According to Weber, are named the set of Kronecker -Weber and - somewhat inconsistently - more sets and different functions.

Publications

  • With Richard Dedekind: Theory of algebraic functions of one variable. J. Reine Angew. Math 92 (1882) 181-190
  • Textbook of algebra. Braunschweig 1895/96 ( Volume 1 and Volume 2 in DjVu )
  • Elliptic functions and algebraic numbers. Braunschweig 1891
  • With Josef Well Stone Encyclopedia of elementary mathematics. A handbook for teachers and students. Leipzig 1903, 1905, 1907 ( Volume 1, Volume 2, Volume 3 )
  • Bernhard Riemann: The partial differential equations of mathematical physics. Brunswick 1900-01
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