Moritz Pasch

from Wikipedia, the free encyclopedia

Moritz Pasch (born November 8, 1843 in Breslau , † September 20, 1930 in Bad Homburg in front of the height ) was a German mathematician .

Life

Pasch was the son of a Jewish businessman from the Polish town of Rawitsch near Posen . From 1860 he studied mathematics at the University of Breslau (after initially studying chemistry), where he became friends with Jakob Rosanes . His teachers were u. a. Rudolf Lipschitz , Paul Bachmann and Heinrich Schröter , from whom he received his doctorate on a geometric topic in 1865 . He then studied in Berlin with Karl Weierstrass and Leopold Kronecker .

In 1870 he completed his habilitation in Giessen , where he was full-time in the business of his father, who died in 1866. In 1873 he became an associate professor at the University of Giessen and 1875 full professor after a call had refused to Wroclaw. In 1885/86 he was dean of the philosophy faculty and in 1893/4 rector of the university. In 1911 he retired, but continued to publish well into old age.

He had been married since 1875 and had two daughters. He was an honorary doctor of the Universities of Frankfurt am Main and Freiburg im Breisgau .

plant

In his book Lectures on Newer Geometry , especially in his book Lectures on Newer Geometry , which appeared in 1882, he demanded a strictly logical approach to geometry , discovered some previously unrecognized assumptions in Euclidean geometry , namely Pasch's axiom , and thus gave the impetus for Hilbert's axiomatic elaboration of geometry and also to the simultaneous investigations of the school of Giuseppe Peano .

“What axiomatics is and how axioms are to be formulated was only shown by Pasch towards the end of the 19th century; The Italian surveyors learned it from him and Hilbert learned it. "

- Hans Freudenthal , Mathematics as a Pedagogical Task, Stuttgart 1973, p. 14)

Fonts

  • Lectures on modern geometry , Leipzig 1882
  • Introduction to differential and integral calculus , Leipzig 1882
  • Basics of Analysis , Leipzig, 1908 digitized

literature

Web links

personal data
SURNAME Pasch, Moritz
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH November 8, 1843
PLACE OF BIRTH Wroclaw
DATE OF DEATH September 20, 1930
Place of death Bad Homburg vor der Höhe