Eduard Heine

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Eduard Heine (1881)

Heinrich Eduard Heine (born March 18, 1821 in Berlin , † October 21, 1881 in Halle (Saale) ) was a German mathematician .

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Eduard Heine is the son of the Berlin banker Karl Heinrich Heine and his wife Henriette nee. Märtens. He attended grammar schools in Berlin and studied mathematics (as well as physics, chemistry, mineralogy, philosophy and archeology) in Göttingen , Berlin and Königsberg . In 1842 he received his doctorate in Berlin. In his dissertation he introduced the spherical functions of the second kind. Then he was in Bonn , where he completed his habilitation in 1844 and became a professor in 1848, and from 1856 professor in Halle . He mainly worked in the fields of potential theory , function theory and partial differential equations . He dealt with spherical surface functions , Legendre polynomials , Lamé functions , Bessel functions , summation of infinite series , continued fractions and elliptic functions .

In 1863 he was accepted as a corresponding member of the Prussian Academy of Sciences . Since 1865 he was a corresponding and since 1878 an external member of the Göttingen Academy of Sciences .

His grave is in the town of Halle . His former home in Halle is the Classicist-style Villa Heine on Luisenstrasse , which is now a listed building .

Heine's theorem on continuous functions is named after him. It states that every continuous function is uniformly continuous on a compact domain . The Heine-Borel phrase is named after him and Émile Borel . Heine's work on Fourier series was a starting point for Georg Cantor's investigations, which led to his development of set theory .

Eduard Heine's sister Albertine was married to Paul Mendelssohn-Bartholdy , Felix Mendelssohn's brother Bartholdy . The writer Anselma Heine was Eduard Heine's daughter.

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Individual evidence

  1. ^ Members of the previous academies. Heinrich Eduard Heine. Berlin-Brandenburg Academy of Sciences and Humanities , accessed on April 2, 2015 .
  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. 108.