Wilhelm Wirtinger

Wilhelm Wirtinger (1928)

Wilhelm Wirtinger (born July 15, 1865 in Ybbs an der Donau , † January 16, 1945 there ) was an Austrian mathematician .

Life

Wirtinger studied at the University of Vienna , in Berlin and Göttingen with Felix Klein . In 1887 he received his doctorate in Vienna with Emil Weyr ( on a special triple evolution in the plain ) and in 1890 he completed his habilitation there. In 1895 he became a professor in Vienna, but went to Innsbruck that same year . From 1905 he was again a professor in Vienna.

Act

As a pupil of Felix Klein, Wirtinger dealt with the expansion of Riemann's theory of functions , especially for theta functions . In addition, he dealt with geometry , invariant theory , number theory , mathematical physics (from statics , the theory of surface waves and rainbows to general relativity ). He also dealt with knot theory (but his results were not published until Emil Artin in 1925), where the Wirtinger presentation of knots is named after him. Known his name through the concept of Wirtinger calculus and for continuously differentiable functions with valid -Wirtinger inequality ${\ displaystyle f \ colon [0, \ pi] \ to \ mathbb {R}}$ ${\ displaystyle f (0) = f (\ pi) = 0}$

{\ displaystyle \ int _ {0} ^ {\ pi} f (x) ^ {2} dx \ leq \ int _ {0} ^ {\ pi} f '(x) ^ {2} dx.}

In 1907 he received the New Year's Eve Medal from the London Royal Society . In 1906 he was elected a corresponding member of the Göttingen Academy of Sciences . Since 1925 he was a corresponding member of the Prussian Academy of Sciences . In 1931 he was accepted into the Bavarian Academy of Sciences .

His students included Otto Schreier , Kurt Gödel , Johann Radon , Olga Taussky-Todd , Hilda Geiringer , Eduard Helly , Wilhelm Blaschke , Karl Strubecker , Leopold Vietoris and Hans Hornich .

In 1904 he gave a plenary lecture at the International Congress of Mathematicians in Heidelberg (Riemann's lectures on the hypergeometric series and its significance).

Works

Research on theta functions . Teubner, Leipzig 1895
General infinitesimal geometry and experience . Teubner, Leipzig 1926
On the theory of the conformal mapping of multiple connected flat surfaces . Publishing house of the Academy of Sciences, Berlin 1942
Wirtinger algebraic functions and their integrals and with Krazer Abelian functions and general theta functions encyclopedia of mathematic sciences

literature

Auguste Dick and Gabriela Stöckl: Wilhelm Wirtinger (1865–1945) . City Museum, Ybbs 1986
Hans Hornich: Wilhelm Wirtinger , monthly books for mathematics, volume 52, 1948, p. 1

Web links

Individual evidence

^ Karl Sigmund: "Cool Farewell to Europe" - Vienna 1938 and the exodus of mathematics. (PDF; 7.8 MB) 2001, accessed on June 22, 2011 .
↑ Holger Krahnke: The members of the Academy of Sciences in Göttingen 1751-2001 (= Treatises of the Academy of Sciences in Göttingen, Philological-Historical Class. Volume 3, Vol. 246 = Treatises of the Academy of Sciences in Göttingen, Mathematical-Physical Class. Episode 3, vol. 50). Vandenhoeck & Ruprecht, Göttingen 2001, ISBN 3-525-82516-1 , p. 262.

personal data
SURNAME	Wirtinger, Wilhelm
BRIEF DESCRIPTION	Austrian mathematician
DATE OF BIRTH	July 15, 1865 or July 19, 1865
PLACE OF BIRTH	Ybbs on the Danube
DATE OF DEATH	January 16, 1945
Place of death	Ybbs on the Danube

[1] Karl Sigmund: "Cool Farewell to Europe" - Vienna 1938 and the exodus of mathematics. (PDF; 7.8 MB) 2001, accessed on June 22, 2011 .

[2] Holger Krahnke: The members of the Academy of Sciences in Göttingen 1751-2001 (= Treatises of the Academy of Sciences in Göttingen, Philological-Historical Class. Volume 3, Vol. 246 = Treatises of the Academy of Sciences in Göttingen, Mathematical-Physical Class. Episode 3, vol. 50). Vandenhoeck & Ruprecht, Göttingen 2001, ISBN 3-525-82516-1 , p. 262.