| dbo:abstract
|
- Arthur Norton Milgram (* 3. Juni 1912 in Philadelphia; † 30. Januar 1961) war ein US-amerikanischer Mathematiker. Milgram promovierte 1937 an der University of Pennsylvania bei dem Moore-Schüler John Robert Kline (Decompositions and Dimension of Closed Sets in ). Danach lehrte er an der University of Notre Dame und war 1946/47 am Institute for Advanced Study. Er war ab 1947 Professor an der Syracuse University und danach ab 1951 an der University of Minnesota in Minneapolis. Milgram befasste sich mit verschiedenen Gebieten der Mathematik, wie partiellen Differentialgleichungen, Funktionalanalysis, Kombinatorik, Differentialgeometrie, Topologie. Das Lemma von Lax-Milgram aus der Theorie schwacher Lösungen für Randwertprobleme partieller Differentialgleichungen ist nach ihm und Peter Lax. dieses enthält Bedingungen für die Invertierbarkeit der in diesen Problemen vorkommenden bilinearen Funktional-Formen in Funktionenräumen und somit für die Existenz und Eindeutigkeit schwacher Lösungen. Zusammen mit Tibor Gallai befasste er sich auch mit Graphentheorie. Beide fanden in den 1940er Jahren den Satz von Dilworth, zögerten aber mit der Veröffentlichung, so dass Robert Dilworth ihnen 1950 zuvorkam. Sein Sohn R. James Milgram ist ebenfalls Mathematik-Professor (Professor Emeritus an der Stanford University). Während der Zeit in Notre Dame schrieb er nach den Vorlesungen von Emil Artin dessen Buch über Galoistheorie (das mit einem Anhang von Milgram erschien). (de)
- Arthur Norton Milgram (3 June 1912, in Philadelphia – 30 January 1961) was an American mathematician. He made contributions in functional analysis, combinatorics, differential geometry, topology, partial differential equations, and Galois theory. Perhaps one of his more famous contributions is the Lax–Milgram theorem—a theorem in functional analysis that is particularly applicable in the study of partial differential equations. In the third chapter of Emil Artin's book Galois Theory, Milgram also discussed some applications of Galois theory. Milgram also contributed to graph theory, by co-authoring the article Verallgemeinerung eines graphentheoretischen Satzes von Rédei with Tibor Gallai in 1960. Milgram received his Ph.D. from the University of Pennsylvania in 1937. He worked under the supervision of John Kline [1] (a student of Robert Lee Moore). His dissertation was titled "Decompositions and Dimension of Closed Sets in Rn". Milgram advised 2 students at Syracuse University in the 1940s and 1950s ( [2] and [3]). In the 1950s, Milgram moved to the University of Minnesota at Minneapolis and helped found Minnesota's well-known PDE group ([4]). At Minnesota, Milgram was also the Ph.D. advisor for [5]. It is also worth noting that Milgram's son R. James (Richard) Milgram [6] (Professor Emeritus at Stanford [7]) also studied mathematics and received his Ph.D. from Minnesota. (en)
- Arthur Norton Milgram, né le 3 juin 1912 à Philadelphie et mort le 30 janvier 1961 , est un mathématicien américain. Il a travaillé en analyse fonctionnelle, en combinatoire, en géométrie différentielle, en topologie générale, en théorie des équations aux dérivées partielles et en théorie de Galois. L'une de ses contributions les plus connues est le théorème de Lax-Milgram, un théorème d'analyse fonctionnelle utile en particulier dans l'étude des équations aux dérivées partielles. Le livre d'Emil Artin sur la théorie de Galois contient un complément par Milgram sur des applications de cette théorie. Il a aussi collaboré avec Tibor Gallai, en théorie des graphes. (fr)
- Arthur Norton Milgram (Filadélfia, 3 de junho de 1912 — 30 de janeiro de 1961) foi um matemático estadunidense. Fez contribuições em análise funcional, combinatória, Geometria diferencial, topologia, equações diferenciais parciais e teoria de Galois. Talvés uma de suas mais famosas contribuições seja o teorema de Lax–Milgram — um teorema da análise funcional que é particularmente aplicável no estudo de equações diferenciais parciais. No livro de Emil Artin Galois Theory[1], Milgram também discute algumas aplicações da teoria de Galois. Milgram é co-autor de Verallgemeinerung eines graphentheoretischen Satzes von Rédei com Tibor Gallai em 1960. Em 1937 Milgram obteve o Ph.D. na Universidade da Pensilvânia, orientado por John Robert Kline (aluno de Robert Lee Moore). Sua tese foi Decompositions and Dimension of Closed Sets in Rn. Na década de 1950 Milgram foi para a Universidade de Minnesota em Minneapolis e ajudou a formar o grupo de equações diferenciais parciais.«Partial Differential Equations» (em inglês) (pt)
|
| dbo:wikiPageExternalLink
| |
| dbo:wikiPageID
| |
| dbo:wikiPageLength
|
- 6154 (xsd:nonNegativeInteger)
|
| dbo:wikiPageRevisionID
| |
| dbo:wikiPageWikiLink
| |
| dbp:wikiPageUsesTemplate
| |
| dcterms:subject
| |
| gold:hypernym
| |
| schema:sameAs
| |
| rdf:type
| |
| rdfs:comment
|
- Arthur Norton Milgram, né le 3 juin 1912 à Philadelphie et mort le 30 janvier 1961 , est un mathématicien américain. Il a travaillé en analyse fonctionnelle, en combinatoire, en géométrie différentielle, en topologie générale, en théorie des équations aux dérivées partielles et en théorie de Galois. L'une de ses contributions les plus connues est le théorème de Lax-Milgram, un théorème d'analyse fonctionnelle utile en particulier dans l'étude des équations aux dérivées partielles. Le livre d'Emil Artin sur la théorie de Galois contient un complément par Milgram sur des applications de cette théorie. Il a aussi collaboré avec Tibor Gallai, en théorie des graphes. (fr)
- Arthur Norton Milgram (3 June 1912, in Philadelphia – 30 January 1961) was an American mathematician. He made contributions in functional analysis, combinatorics, differential geometry, topology, partial differential equations, and Galois theory. Perhaps one of his more famous contributions is the Lax–Milgram theorem—a theorem in functional analysis that is particularly applicable in the study of partial differential equations. In the third chapter of Emil Artin's book Galois Theory, Milgram also discussed some applications of Galois theory. Milgram also contributed to graph theory, by co-authoring the article Verallgemeinerung eines graphentheoretischen Satzes von Rédei with Tibor Gallai in 1960. (en)
- Arthur Norton Milgram (* 3. Juni 1912 in Philadelphia; † 30. Januar 1961) war ein US-amerikanischer Mathematiker. Milgram promovierte 1937 an der University of Pennsylvania bei dem Moore-Schüler John Robert Kline (Decompositions and Dimension of Closed Sets in ). Danach lehrte er an der University of Notre Dame und war 1946/47 am Institute for Advanced Study. Er war ab 1947 Professor an der Syracuse University und danach ab 1951 an der University of Minnesota in Minneapolis. Sein Sohn R. James Milgram ist ebenfalls Mathematik-Professor (Professor Emeritus an der Stanford University). (de)
- Arthur Norton Milgram (Filadélfia, 3 de junho de 1912 — 30 de janeiro de 1961) foi um matemático estadunidense. Fez contribuições em análise funcional, combinatória, Geometria diferencial, topologia, equações diferenciais parciais e teoria de Galois. Talvés uma de suas mais famosas contribuições seja o teorema de Lax–Milgram — um teorema da análise funcional que é particularmente aplicável no estudo de equações diferenciais parciais. No livro de Emil Artin Galois Theory[1], Milgram também discute algumas aplicações da teoria de Galois. Milgram é co-autor de Verallgemeinerung eines graphentheoretischen Satzes von Rédei com Tibor Gallai em 1960. (pt)
|
| rdfs:label
|
- Arthur Milgram (de)
- Arthur Milgram (en)
- Arthur Milgram (fr)
- Arthur Milgram (pt)
|
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:doctoralStudent
of | |
| is dbo:wikiPageDisambiguates
of | |
| is dbo:wikiPageWikiLink
of | |
| is foaf:primaryTopic
of | |
