Arnold Emch

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Arnold Emch (born March 24, 1871 in Solothurn , † May 22, 1959 in Centerville ) was a Swiss-American mathematician.

Life

Emch received his doctorate in 1895 from the University of Kansas with Henry Byron Newson (Projective Groups of Perspective Collineations in the Plane Treated Synthetically). He was then a professor of descriptive geometry at the Kansas State Agricultural College (later the University of Kansas) and from 1905 teacher at the canton school in his hometown of Solothurn . He was a professor at the University of Illinois at Urbana-Champaign from 1911 to 1939 .

Emch is known for his contributions to the solution of the Toeplitz conjecture, which is still open today ( Otto Toeplitz 1911): there is an inscribed square for every closed Jordan curve (that is, all corners are on the curve). Emch proved it for piecewise analytic curves like polygons. He dealt with projective geometry and algebraic surfaces.

In 1908 he was invited to speak at the International Congress of Mathematicians in Rome ( The mathematician Winkler and his methods ).

Fonts

  • An introduction to projective geometry and its applications; an analytic and synthetic treatment, Wiley 1905.

Web links

Individual evidence

  1. Arnold Emch in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Emch, On some properties of the medians of closed continuous curves formed by analytic arcs, American Journal of Mathematics, Volume 38, 1916, pp. 6-18
  3. Digital copy , pdf ( Memento of the original from October 16, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.mathunion.org