Ernst Steinitz Contents Biography Mathematical works See also References Navigation menu"Review: Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie by Ernest Steinitz, completed by H. Rademacher, and Lehrbuch der Topologie by H. Seifert and W. Threlfall"10.1090/s0002-9904-1935-06116-6"Ernst Steinitz"Ernst Steinitzcb12362451p(data)1172578500000 0001 1690 2250nr9702304346874jn200103097520326314139536726095367260

1871 births1928 deaths20th-century mathematiciansAlgebraistsGerman mathematiciansGerman people of Jewish descentPeople from Siemianowice ŚląskiePeople from the Province of SilesiaUniversity of Breslau alumniHumboldt University of Berlin alumniTechnical University of Berlin facultyUniversity of Kiel facultyTechnical University of Berlin alumni


GermanmathematicianLaurahütteSiemianowice ŚląskieSilesiaGermanyPolandUniversity of BreslauUniversity of BerlinTechnical University of BerlinUniversity of Kielprojective configurationsincidence structureKőnig's theoremGermanfieldsprime fieldperfect fieldtranscendence degreefield extensionalgebraic closurepolyhedraSteinitz's theoremskeletonsconnectedplanar graphsHans Rademacher


















Ernst Steinitz

Tombstone Ernst Steinitz Wroclaw.png
Tombstone of Ernst Steinitz, Old Jewish Cemetery, Wrocław (street Lotnicza).

Born
(1871-06-13)13 June 1871

Laurahütte, Silesia, Germany

Died29 September 1928(1928-09-29) (aged 57)

Kiel, Schleswig-Holstein, Germany

NationalityGerman
Alma materUniversity of Breslau
Scientific career
FieldsMathematics
InstitutionsUniversity of Kiel
Doctoral advisorJakob Rosanes

Ernst Steinitz (13 June 1871 – 29 September 1928) was a German mathematician.




Contents





  • 1 Biography


  • 2 Mathematical works


  • 3 See also


  • 4 References




Biography


Steinitz was born in Laurahütte (Siemianowice Śląskie), Silesia, Germany (now in Poland), the son of Sigismund Steinitz, a Jewish coal merchant, and his wife Auguste Cohen; he had two brothers. He studied at the University of Breslau and the University of Berlin, receiving his Ph.D. from Breslau in 1894. Subsequently, he took positions at Charlottenberg (now the Technical University of Berlin), Breslau, and the University 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 configurations; it contained the result that any abstract description of an incidence 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. His thesis also contains the proof of Kőnig's theorem for regular bipartite graphs, phrased in the language of configurations.


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 like prime field, perfect field and the transcendence degree of a field extension. Steinitz proved that every field has an algebraic closure. He also made fundamental contributions to the theory of polyhedra: Steinitz's theorem for polyhedra is that the 1-skeletons of convex polyhedra are exactly the 3-connected planar graphs. His work in this area was published posthumously as a 1934 book, Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie,[1] by Hans Rademacher.



See also


  • Steinitz class

  • Steinitz exchange lemma

  • Supernatural numbers

  • Lévy–Steinitz theorem


References




  1. ^ Tucker, A. W. (1935). "Review: Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie by Ernest Steinitz, completed by H. Rademacher, and Lehrbuch der Topologie by H. Seifert and W. Threlfall" (PDF). Bull. Amer. Math. Soc. 41 (7): 468–471. doi:10.1090/s0002-9904-1935-06116-6..mw-parser-output cite.citationfont-style:inherit.mw-parser-output .citation qquotes:"""""""'""'".mw-parser-output .citation .cs1-lock-free abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .citation .cs1-lock-subscription abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registrationcolor:#555.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration spanborder-bottom:1px dotted;cursor:help.mw-parser-output .cs1-ws-icon abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center.mw-parser-output code.cs1-codecolor:inherit;background:inherit;border:inherit;padding:inherit.mw-parser-output .cs1-hidden-errordisplay:none;font-size:100%.mw-parser-output .cs1-visible-errorfont-size:100%.mw-parser-output .cs1-maintdisplay:none;color:#33aa33;margin-left:0.3em.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-formatfont-size:95%.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-leftpadding-left:0.2em.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-rightpadding-right:0.2em




  • O'Connor, John J.; Robertson, Edmund F., "Ernst Steinitz", MacTutor History of Mathematics archive, University of St Andrews.


  • Ernst Steinitz at the Mathematics Genealogy Project


  • Gropp, Harald, F.W. Levi (1888–1966) and E. Steinitz (1871–1928), Posters shown at 1998 International Congress of Mathematicians, Berlin, and again at the 6th Slovenian International Conference on Graph Theory, Bled'07.


  • Röhl, H. (1962), Ernst Steinitz, eine Darstellung seines mathematischen Werkes, Staatsexamenarbeit Keil. As cited by Gropp.







1871 births, 1928 deaths, 20th-century mathematicians, Algebraists, German mathematicians, German people of Jewish descent, Humboldt University of Berlin alumni, People from Siemianowice Śląskie, People from the Province of Silesia, University of Breslau alumniUncategorized
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