Dilworth was born in 1914 in Hemet, California, at that time a remote desert ranching town. He went to college at the California Institute of Technology, receiving his baccalaureate in 1936 and continuing there for his graduate studies. Dilworth's graduate advisor was Morgan Ward, a student of Eric Temple Bell, who was also on the Caltech faculty at the time. On receiving his Ph.D. in 1939, Dilworth took an instructorship at Yale University. While at Yale, he met and married his wife, Miriam White, with whom he eventually had two sons. He returned to Caltech as a faculty member in 1943, and spent the remainder of his academic career there. Dilworth advised 17 Ph.D. students and as of 2020[update] has 635 academic descendants listed at the Mathematics Genealogy Project, many through his student Juris Hartmanis, a noted complexity theorist. Other notable mathematicians advised by Dilworth include Curtis Greene and Alfred W. Hales.
Selected bibliographyEdit
Bogart, Kenneth P.; Freese, Ralph; Kung, Joseph P. S., eds. (1990), Dilworth Theorems: Selected Papers of Robert P. Dilworth, Contemporary Mathematicians, Birkhauser, ISBN978-0-8176-3434-6.
Crawley, Peter; Dilworth, Robert P. (1973), Algebraic Theory of Lattices, Englewood Cliffs, N.J.: Prentice-Hall, ISBN978-0-13-022269-5.
Dilworth, Robert P. (1940), "Lattices with unique irreducible decompositions", Annals of Mathematics, 41 (4): 771–777, doi:10.2307/1968857, JSTOR 1968857.
Dilworth, Robert P. (1950), "A decomposition theorem for partially ordered sets", Annals of Mathematics, 51 (1): 161–166, doi:10.2307/1969503, JSTOR 1969503.
Dilworth, Robert P.; Greene, Curtis (1971), "A counterexample to the generalization of Sperner's theorem", Journal of Combinatorial Theory, Series A, 10: 18–21, doi:10.1016/0097-3165(71)90063-X, MR 0276145.
robert, dilworth, this, article, includes, list, references, related, reading, external, links, sources, remain, unclear, because, lacks, inline, citations, please, help, improve, this, article, introducing, more, precise, citations, december, 2017, learn, whe. This article includes a list of references related reading or external links but its sources remain unclear because it lacks inline citations Please help to improve this article by introducing more precise citations December 2017 Learn how and when to remove this template message Robert Palmer Dilworth December 2 1914 October 29 1993 was an American mathematician His primary research area was lattice theory his biography at the MacTutor History of Mathematics archive states it would not be an exaggeration to say that he was one of the main factors in the subject moving from being merely a tool of other disciplines to an important subject in its own right He is best known for Dilworth s theorem Dilworth 1950 relating chains and antichains in partial orders he was also the first to study antimatroids Dilworth 1940 Dilworth was born in 1914 in Hemet California at that time a remote desert ranching town He went to college at the California Institute of Technology receiving his baccalaureate in 1936 and continuing there for his graduate studies Dilworth s graduate advisor was Morgan Ward a student of Eric Temple Bell who was also on the Caltech faculty at the time On receiving his Ph D in 1939 Dilworth took an instructorship at Yale University While at Yale he met and married his wife Miriam White with whom he eventually had two sons He returned to Caltech as a faculty member in 1943 and spent the remainder of his academic career there Dilworth advised 17 Ph D students and as of 2020 update has 635 academic descendants listed at the Mathematics Genealogy Project many through his student Juris Hartmanis a noted complexity theorist Other notable mathematicians advised by Dilworth include Curtis Greene and Alfred W Hales Selected bibliography EditBogart Kenneth P Freese Ralph Kung Joseph P S eds 1990 Dilworth Theorems Selected Papers of Robert P Dilworth Contemporary Mathematicians Birkhauser ISBN 978 0 8176 3434 6 Crawley Peter Dilworth Robert P 1973 Algebraic Theory of Lattices Englewood Cliffs N J Prentice Hall ISBN 978 0 13 022269 5 Dilworth Robert P 1940 Lattices with unique irreducible decompositions Annals of Mathematics 41 4 771 777 doi 10 2307 1968857 JSTOR 1968857 Dilworth Robert P 1950 A decomposition theorem for partially ordered sets Annals of Mathematics 51 1 161 166 doi 10 2307 1969503 JSTOR 1969503 Dilworth Robert P Greene Curtis 1971 A counterexample to the generalization of Sperner s theorem Journal of Combinatorial Theory Series A 10 18 21 doi 10 1016 0097 3165 71 90063 X MR 0276145 References and external links EditBogart Kenneth P 1995 R P Dilworth Order 12 1 1 4 doi 10 1007 BF01108587 S2CID 123296653 O Connor John J Robertson Edmund F Robert Palmer Dilworth MacTutor History of Mathematics Archive University of St Andrews Robert Palmer Dilworth at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Robert P Dilworth amp oldid 1170993572, wikipedia, wiki, book, books, library,
