Heinrich Schröter

Heinrich Eduard Schroeter (* January 8, 1829 in Königsberg i Pr; † January 3, 1892 in Breslau) was a German mathematician and university professor. He dealt with geometry in the tradition of Jacob Steiner.

Life

Schröter visited (such as at about the same time the mathematicians Alfred Clebsch Rudolf Lipschitz, Carl Gottfried Neumann ) the old-urban high school (Königsberg ). From 1845, he studied mathematics and physics at the Albertus University of Königsberg. His teachers were Friedrich Julius Richelot, Franz Ernst Neumann and Otto Hesse. He has meanwhile served as a one-year volunteer in the Prussian army and moved to the Friedrich- Wilhelms- University of Berlin to Peter Gustav Lejeune Dirichlet and Jakob Steiner. With a PhD in Richelot he received his doctorate in 1854 in Königsberg Dr. phil ..

He took off the Lehrerexamina but habilitated early as 1855 at the Silesian Friedrich Wilhelm University in Breslau. In Breslau he was an associate in 1858 and full professor in 1861. For the academic year 1874/75 he was elected Rector of the University. Shortly before his 63rd birthday, he died of progressive paralysis.

Work

Schröter dealt under the influence of Steiner, whose existing only on note sheets lectures on synthetic geometry ( projective theory of conic sections ) he published in 1867, with geometric questions. In The theory of surfaces from 1880 he worked on space curves of the third order as intersections of conics. For this work he received the Jacob Steiner Prize of the Royal Prussian Academy of Sciences, corresponding member whose it was. He also examined the surfaces of the third order and fourth order spatial curves ( 1890). One of his students was Rudolf Sturm.

Writings

  • As an editor and publisher: Jacob Steiner 's lectures on synthetic geometry, part 2: The theory of conic sections, based on projectivische properties. Leipzig 1867, 2nd edition 1876
  • The theory of second-order surfaces and space curves of the third order products as projectivischer structure. Leipzig 1880
  • The theory of plane curves of the third order, derived synthetically. Leipzig 1888
  • Outlines of a purely geometrical theory of space curves of the fourth order first species. Leipzig 1890
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