Georg Hamel

Georg Hamel ( born September 12, 1877 in Düren, † October 4, 1954 in Landshut, full name Georg Karl Wilhelm Hamel ) was a German mathematician.

Life

Georg Hamel studied in Aachen, Berlin and Göttingen, where David Hilbert on the topic over the geometries in which the lines are the shortest he received his doctorate in 1901. In Karlsruhe in 1903 he was habilitated. In 1905 he became a full professor in Brno, 1912 in Aachen and 1919 at the Technical University Berlin. At the TH Berlin Hamel held in the years 1928/1929 beyond the office of rector. In 1938 he became a member of the Prussian Academy of Sciences. He is known especially for his work on fundamental problems that have led to the notion of Hamel basis of real numbers ( considered as a vector space over the rational numbers ), as well as for his work on the axiomatic structure of classical mechanics, which is an important contribution to engineering mechanics represent.

The existence of the Hamel basis applies not only to the real number field. The same conclusion - with the help of the well-ordering theorem or Zorn's lemma - shows that every vector space V has a basis B, ie, a subset such that every vector in V is a uniquely determined linear combination of a finite number of vectors from B.

As Emeritus George Hamel was appointed in 1953 a corresponding member of the Bavarian Academy of Sciences and in 1954 Dr. rer. nat. h c. RWTH Aachen appointed. In 1935, he was president of the German Mathematical Society.