31:
239:
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
301:
of a field extension in terms of its intermediate fields. Bourbaki called this article "a basic paper which may be considered as having given rise to the current conception of
Algebra".
642:
567:, Posters shown at 1998 International Congress of Mathematicians, Berlin, and again at the 6th Slovenian International Conference on Graph Theory, Bled'07
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203:), the son of Sigismund Steinitz, a Jewish coal merchant, and his wife Auguste Cohen; he had two brothers. He studied at the
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293:). Besides numerous, today standard, results in field theory, he proved that every field has an (essentially unique)
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493:
Vorlesungen ĂĽber die
Theorie der Polyeder unter Einschluss der Elemente der Topologie
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444:
423:
411:
325:
Vorlesungen ĂĽber die
Theorie der Polyeder unter Einschluss der Elemente der Topologie
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294:
518:
223:, Germany, where he died in 1928. Steinitz married Martha Steinitz and had one son.
513:
486:
403:
282:
192:
151:
30:
328:
278:
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92:
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211:, receiving his Ph.D. from Breslau in 1894. Subsequently, he took positions at
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for regular bipartite graphs, phrased in the language of configurations.
130:
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323:. His work in this area was published posthumously as a 1934 book,
200:
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Steinitz also made fundamental contributions to the theory of
235:; it contained the result that any abstract description of an
575:
Ernst
Steinitz, eine Darstellung seines mathematischen Werkes
261:). In this paper he axiomatically studies the properties of
84:
247:
In 1910 Steinitz published the very influential paper
495:
by Ernest
Steinitz, completed by H. Rademacher, and
565:F.W. Levi (1888–1966) and E. Steinitz (1871–1928)
531:
584:
171:(13 June 1871 – 29 September 1928) was a German
643:Academic staff of Technische Universität Berlin
396:Journal fĂĽr die reine und angewandte Mathematik
485:
231:Steinitz's 1894 thesis was on the subject of
471:: CS1 maint: location missing publisher (
29:
517:
648:Academic staff of the University of Kiel
436:
389:
543:MacTutor History of Mathematics Archive
297:and a theorem, which characterizes the
585:
316:of convex polyhedra are exactly the 3-
291:algebraic extensions of the first kind
226:
653:Technische Universität Berlin alumni
638:Humboldt University of Berlin alumni
572:
265:and defines important concepts like
628:People from the Province of Silesia
13:
613:20th-century German mathematicians
603:19th-century German mathematicians
14:
664:
562:
392:"Algebraische Theorie der Körper"
289:extensions (the latter he called
623:People from Siemianowice ĹšlÄ…skie
16:German mathematician (1871–1928)
618:German people of Jewish descent
519:10.1090/s0002-9904-1935-06116-6
499:by H. Seifert and W. Threlfall"
299:existence of primitive elements
249:Algebraische Theorie der Körper
479:
443:. Berlin. pp. A. V. 196.
440:Algebra II : Chapters 4-7
430:
383:
255:: Algebraic Theory of Fields,
1:
558:Mathematics Genealogy Project
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217:Technische Universität Berlin
145:Technische Universität Berlin
35:Tombstone of Ernst Steinitz,
633:University of Breslau alumni
312:for polyhedra is that the 1-
178:
37:Old Jewish Cemetery, Wrocław
7:
334:
10:
669:
437:Bourbaki, Nicolas (2003).
577:, Staatsexamenarbeit Keil
408:10.1515/crll.1910.137.167
233:projective configurations
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150:
136:
126:
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99:
73:
44:
28:
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548:University of St Andrews
390:Steinitz, Ernst (1910).
361:Steinitz exchange lemma
497:Lehrbuch der Topologie
506:Bull. Amer. Math. Soc
371:Lévy–Steinitz theorem
205:University of Breslau
183:Steinitz was born in
114:University of Breslau
579:. As cited by Gropp.
534:Robertson, Edmund F.
366:Supernatural numbers
275:transcendence degree
219:), Breslau, and the
209:University of Berlin
189:Siemianowice ĹšlÄ…skie
532:O'Connor, John J.;
237:incidence structure
608:Linear algebraists
310:Steinitz's theorem
227:Mathematical works
221:University of Kiel
141:University of Kiel
89:Schleswig-Holstein
39:(street Lotnicza).
573:Röhl, H. (1962),
450:978-3-642-61698-3
295:algebraic closure
166:
165:
121:Scientific career
77:29 September 1928
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538:"Ernst Steinitz"
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402:(137): 167–309.
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258:Crelle's Journal
152:Doctoral advisor
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18:
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563:Gropp, Harald,
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329:Hans Rademacher
279:field extension
242:KĹ‘nig's theorem
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110:Alma mater
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554:Ernst Steinitz
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512:(7): 468–471.
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356:Steinitz class
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346:Hauptvermutung
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213:Charlottenburg
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169:Ernst Steinitz
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81:(aged 57)
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23:Ernst Steinitz
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487:Tucker, A. W.
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321:planar graphs
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271:perfect field
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173:mathematician
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157:Jakob Rosanes
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351:Medial graph
341:Hall algebra
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168:
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137:Institutions
120:
79:(1928-09-29)
55:13 June 1871
598:1928 deaths
593:1871 births
281:, and also
267:prime field
131:Mathematics
100:Nationality
587:Categories
377:References
185:LaurahĂĽtte
59:LaurahĂĽtte
51:1871-06-13
491:"Review:
467:cite book
459:889444316
424:120807300
416:0075-4102
318:connected
314:skeletons
306:polyhedra
287:separable
179:Biography
489:(1935).
335:See also
273:and the
207:and the
199:(now in
556:at the
197:Germany
193:Silesia
93:Germany
67:Germany
63:Silesia
457:
447:
422:
414:
283:normal
263:fields
253:German
201:Poland
127:Fields
104:German
502:(PDF)
420:S2CID
327:, by
277:of a
215:(now
473:link
455:OCLC
445:ISBN
412:ISSN
400:1910
285:and
85:Kiel
74:Died
45:Born
514:doi
404:doi
191:),
589::
546:,
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510:41
508:.
504:.
469:}}
465:{{
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251:(
187:(
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49:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
