Ludwig Schlesinger

Ludwig Schlesinger (Slovak Ľudovít Schlesinger, Hungarian Lajos Schlesinger, born 1 November 1864 in Trnava, † December 15, 1933 in Gießen ) was a mathematician of Jewish descent. He conducted research in the field of linear differential equations.

Schlesinger attended secondary school in Bratislava ( Pressburg German ) and then studied physics and mathematics at Heidelberg and Berlin. In 1887 he was in Berlin at Lazarus Immanuel Fuchs and Leopold Kronecker doctorate (over linear homogeneous differential equations of the fourth order, between the integrals of homogeneous relations exist higher than the first degree). In 1889 he qualified as a professor in Berlin in 1897 and associate professor in Bonn and in the same year professor in Cluj-Napoca (now Cluj). From 1911 he was professor at the University of Giessen, where he taught until 1930. In 1933 he was forced to retire by the Nazis. He died shortly thereafter.

Schlesinger also worked as a historian of science. He wrote an article on the theory of functions with Carl Friedrich Gauss in his collected works and translated the geometry of René Descartes (1894 published ). He was one of the organizers of the 100 - year celebrations of Janos Bolyai and gave 1904-1909 with R. Fuchs the works of his teacher Lazarus Fuchs out, who was also his father. In 1902 he became a corresponding member of the Hungarian Academy of Sciences. In 1909 he became a member of the Leopoldine - Carolinischen German Academy of Natural Scientists. He also received the Lobachevsky Prize.

From 1929 until his death, he was co-editor of the Journal for Pure and Applied Mathematics.

Like his teacher fox he explored mainly linear ordinary differential equations. His two-volume handbook of the theory of linear differential equations appeared from 1895 to 1898 in Teubner in Leipzig ( Vol.2 in two parts ), Introduction to the theory of ordinary differential equations to functional theoretical basis 1922 ( in 3rd edition ), Lectures on linear differential equations 1908 and automorphic functions 1924 ( de Gruyter). In 1909 he wrote a large report for the annual report of the German Mathematical Society about the history of linear differential equations since 1865. He also dealt with differential geometry, and published a book of lectures on Einstein's general theory of relativity. Today his work is still in differential geometry ( Schlesinger equations, Schlesinger transformations ), is currently its publication over a class of differential systems of arbitrary order with fixed critical points (Journal of Pure and Applied Mathematics 1912). There he treated a special case of Hilbert's 21st problem ( existence of differential equations with prescribed monodromy group ), Isomonodromie - deformations of a differential equation of Fuchs type.

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