Eberhard Melchior

Eberhard Melchior (born November 27, 1912 in Dresden ; † unknown) was a German mathematician.

Life

Melchior was the son of a teacher. After graduating from high school in Dresden-Neustadt, he studied mathematics from 1932 in Göttingen, at the TH Dresden and the University of Berlin, where he received his doctorate in 1937 (investigations into a problem from the theory of configurations). While the dissertation was praised by Ludwig Bieberbach (opus valde laudabile), he had to repeat the doctoral examination (Rigorosum) and only came up with a satisfactory in mathematics (co-supervisor was Erhard Schmidt ). In a work published in 1940, he gave the first known proof of Sylvester-Gallai's theorem , although this was not known to wider circles at the time. More precisely, he proved the projective-equivalent (dual) formulation of the theorem using Euler's polyhedron theorem. In this context, an inequality is named after him.

A total of three publications by him are known. Two of them were published in the journal Deutsche Mathematik by Ludwig Bieberbach.

literature

Renate Tobies : Biographical Lexicon in Mathematics for PhDs from WS 1907/08 to WS 1944/45, Rauner Verlag 2006

References and comments

^ Writings Math. Seminar and Inst. Angew. Math. Berlin, Volume 3, 181-206
↑ Eberhard Melchior in the Mathematics Genealogy Project (English)
↑ Melchior, About Versatile of the Projective Plane, German Mathematics, Volume 5, 1940, pp. 461–475. The address given in the work was Munich. His proof is presented in S. Felsner Geometric Graphs and Arrangements, Vieweg 2004, p. 72f
↑ In addition to the two mentioned: W. Jung, E. Melchior, Symmetrische Geradenkomplexe. A contribution to the theory of configurations, Deutsche Mathematik 1, 1936, 239-255. Walter Jung (* 1907) did his doctorate on a similar subject in 1937 with Werner Weber (mathematician) in Berlin. After the judgment on the dissertation (co-speaker Bieberbach), Melchior and Weber founded the theory of symmetrical straight line complexes.

personal data
SURNAME	Melchior, Eberhard
BRIEF DESCRIPTION	German mathematician
DATE OF BIRTH	November 27, 1912
PLACE OF BIRTH	Dresden
DATE OF DEATH	20th century or 21st century

[1] Writings Math. Seminar and Inst. Angew. Math. Berlin, Volume 3, 181-206

[2] Eberhard Melchior in the Mathematics Genealogy Project (English)

[3] Melchior, About Versatile of the Projective Plane, German Mathematics, Volume 5, 1940, pp. 461–475. The address given in the work was Munich. His proof is presented in S. Felsner Geometric Graphs and Arrangements, Vieweg 2004, p. 72f

[4] In addition to the two mentioned: W. Jung, E. Melchior, Symmetrische Geradenkomplexe. A contribution to the theory of configurations, Deutsche Mathematik 1, 1936, 239-255. Walter Jung (* 1907) did his doctorate on a similar subject in 1937 with Werner Weber (mathematician) in Berlin. After the judgment on the dissertation (co-speaker Bieberbach), Melchior and Weber founded the theory of symmetrical straight line complexes.