Jakob Horn

from Wikipedia, the free encyclopedia

Jakob Horn (born February 14, 1867 in Rehbach , Odenwald ; † February 24, 1946 there ) was a German mathematician who dealt with differential equations .

Horn was the son of a carpenter and farmer and Horn was only able to attend secondary school in Michelstadt and Gießen at the expense of his parents' financial sacrifices . From 1884 he studied mathematics in Giessen and Berlin with Richard Baltzer , Moritz Pasch , Karl Weierstraß , Leopold Kronecker and Lazarus Fuchs and received his doctorate in Heidelberg in 1889 with Leo Koenigsberger (on the convergence of the hypergeometric series of two and three variables). He then went to the University of Freiburg, where he completed his habilitation in 1890. In 1892 he was re-qualified at theTH Berlin-Charlottenburg and in 1900 he became a full professor at the Bergakademie Clausthal . From 1907 until his retirement in 1934 he was a professor at the TH Darmstadt . In 1921 he was elected a member of the Leopoldina .

Jakob Horn headed the university library of the TH Darmstadt, which had existed since 1872, from 1918 to 1924 . He performed this office on a part-time basis.

He was considered a good teacher who published two Göschen volumes on differential equations. Special hypergeometric series are called Horn functions after him.

In 1900 he married the daughter Anna (1870–1923) of Wilhelm Soldan , with whom he had three daughters and two sons. Soldan had promoted him as a student at the upper secondary school in Giessen, where he was director.

Fonts

  • On the convergence of the hypergeometric series of two and three variables, Leipzig: BG Teubner 1889
  • On systems of linear differential equations with several variables: Contributions to the generalizations of Fuchs' theory of linear differential equations, Mayer & Müller, 1890, Archives
  • Ordinary differential equations of any order, Göschen 1905, Archive (6th edition edited by Hans Wittich 1959)
  • Introduction to the theory of partial differential equations, Leipzig; Göschen 1910, 4th edition 1949, Archives
  • Ordinary differential equations, Göschen, 5th edition 1948

literature