- Ernst Steinitz
Ernst Steinitz (
June 13 ,1871 –September 29 1928 ) was a Germanmathematician .Biography
Steinitz was born in
Laurahütte (Siemianowice Śląskie ),Silesia ,Germany (now inPoland ), the son of Sigismund Steinitz, a Jewish coal merchant, and his wife Auguste Cohen; he had two brothers. He studied at theUniversity of Breslau and theUniversity of Berlin , receiving his Ph.D. from Breslau in 1894. Subsequently, he took positions at Charlottenberg (now theTechnical University of Berlin ), Breslau, and theUniversity of Kiel , Germany, where he died in 1928. Steinitz married Martha Steinitz and had one son.Mathematical works
Steinitz's 1894 thesis was on the subject of
projective configuration s; it contained the result that any abstract description of aincidence structure of three lines per point and three points per line could be realized as a configuration of straight lines in the Euclidean plane with the possible exception of one of the lines. In 1910 Steinitz published the very influential paper "Algebraische Theorie der Körper" (German: Algebraic Theory of Fields,Crelle's Journal (1910), 167–309). In this paper he axiomatically studies the properties of fields and defines important concepts likeprime field ,perfect field and thetranscendence degree of anfield extension . Steinitz also made fundamental contributions to the theory ofpolyhedra : Steinitz's theorem for polyhedra is that the 1-skeletons of convex polyhedra are exactly the 3-connectedplanar graph s. His work in this area was published posthumously as a 1934 book, "Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie", byHans Rademacher .See also
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Steinitz exchange theorem References
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*. As cited by Gropp.
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