Motzkin's father Leo Motzkin, a Ukrainian Jew, went to Berlin at the age of thirteen to study mathematics. He pursued university studies in the topic and was accepted as a graduate student by Leopold Kronecker, but left the field to work for the Zionist movement before finishing a dissertation.[2]
Motzkin grew up in Berlin and started studying mathematics at an early age as well, entering university when he was only 15.[2] He received his Ph.D. in 1934 from the University of Basel under the supervision of Alexander Ostrowski[3] for a thesis on the subject of linear programming[2] (Beiträge zur Theorie der linearen Ungleichungen, "Contributions to the Theory of Linear Inequalities", 1936[4]).
In 1948, Motzkin moved to the United States. After two years at Harvard and Boston College, he was appointed at UCLA in 1950, becoming a professor in 1960.[4] He worked there until his retirement.[2]
Motzkin married Naomi Orenstein in Jerusalem. The couple had three sons:
Motzkin's dissertation contained an important contribution to the nascent theory of linear programming (LP), but its importance was only recognized after an English translation appeared in 1951. He would continue to play an important role in the development of LP while at UCLA.[4] Apart from this, Motzkin published about diverse problems in algebra, graph theory, approximation theory, combinatorics, numerical analysis, algebraic geometry and number theory.[4]
^ abcdeJoachim Schwermer (1997). "Motzkin, Theodor Samuel". Neue Deutsche Biographie. Vol. 18. pp. 231 ff.
^Motzkin, Th. (1936). "Sur le produit des spaces métriques". In: Congrès International des Mathématiciens. pp. 137–138.
^ Motzkin, T. S.; Raiffa, H.; Thompson, G. L.; Thrall, R. M. (1953). "The double description method". Contributions to the theory of games. Annals of Mathematics Studies. Vol. 2. Princeton, N. J.: Princeton University Press. pp. 51–73. MR 0060202.
^Motzkin, T. S. (1967). "The arithmetic-geometric inequality". Inequalities (Proc. Sympos. Wright-Patterson Air Force Base, Ohio, 1965). New York: Academic Press. pp. 205–224. MR 0223521.
^Hans Jürgen Prömel (2005). "Complete Disorder is Impossible: The Mathematical Work of Walter Deuber". Combinatorics, Probability and Computing. Cambridge University Press. 14: 3–16. doi:10.1017/S0963548304006674. S2CID 37243306.
February 04, 2023
theodore, motzkin, theodore, samuel, motzkin, march, 1908, december, 1970, israeli, american, mathematician, born, 1908, march, 1908berlin, german, empirediedoctober, 1970, 1970, aged, angelesnationalityamericanalma, materuniversity, baselknown, formotzkin, tr. Theodore Samuel Motzkin 26 March 1908 15 December 1970 was an Israeli American mathematician 1 Theodore MotzkinBorn 1908 03 26 March 26 1908Berlin German EmpireDiedOctober 15 1970 1970 10 15 aged 62 Los AngelesNationalityAmericanAlma materUniversity of BaselKnown forMotzkin transposition theoremMotzkin numberPIDs that are not EDsLinear programming Fourier Motzkin eliminationScientific careerInstitutionsUCLADoctoral advisorAlexander OstrowskiDoctoral studentsJohn SelfridgeRafael Artzy Contents 1 Biography 2 Contributions to mathematics 3 See also 4 ReferencesBiography EditMotzkin s father Leo Motzkin a Ukrainian Jew went to Berlin at the age of thirteen to study mathematics He pursued university studies in the topic and was accepted as a graduate student by Leopold Kronecker but left the field to work for the Zionist movement before finishing a dissertation 2 Motzkin grew up in Berlin and started studying mathematics at an early age as well entering university when he was only 15 2 He received his Ph D in 1934 from the University of Basel under the supervision of Alexander Ostrowski 3 for a thesis on the subject of linear programming 2 Beitrage zur Theorie der linearen Ungleichungen Contributions to the Theory of Linear Inequalities 1936 4 In 1935 Motzkin was appointed to the Hebrew University in Jerusalem contributing to the development of mathematical terminology in Hebrew 4 In 1936 he was an Invited Speaker at the International Congress of Mathematicians in Oslo 5 During World War II he worked as a cryptographer for the British government 2 In 1948 Motzkin moved to the United States After two years at Harvard and Boston College he was appointed at UCLA in 1950 becoming a professor in 1960 4 He worked there until his retirement 2 Motzkin married Naomi Orenstein in Jerusalem The couple had three sons Aryeh Leo Motzkin Orientalist Gabriel Motzkin philosopher Elhanan Motzkin mathematicianContributions to mathematics EditMotzkin s dissertation contained an important contribution to the nascent theory of linear programming LP but its importance was only recognized after an English translation appeared in 1951 He would continue to play an important role in the development of LP while at UCLA 4 Apart from this Motzkin published about diverse problems in algebra graph theory approximation theory combinatorics numerical analysis algebraic geometry and number theory 4 The Motzkin transposition theorem Motzkin numbers and the Fourier Motzkin elimination are named after Theodore Motzkin He first developed the double description algorithm of polyhedral combinatorics and computational geometry 6 He was the first to prove the existence of principal ideal domains that are not Euclidean domains Z 1 19 2 textstyle mathbb Z left frac 1 sqrt 19 2 right being his first example Motzkin found the first explicit example of a nonnegative polynomial which is not sum of squares known as the Motzkin polynomial X 4 Y 2 X 2 Y 4 3 X 2 Y 2 1 displaystyle X 4 Y 2 X 2 Y 4 3X 2 Y 2 1 7 The quote complete disorder is impossible describing Ramsey theory is attributed to him 8 See also EditCyclic polytope Pentagram map a related conceptReferences Edit Motzkin Theodore S 1983 David Cantor Basil Gordon Bruce Rothschild eds Theodore S Motzkin Selected papers Contemporary Mathematicians Boston Mass Birkhauser pp xxvi 530 ISBN 3 7643 3087 2 MR 0693096 a b c d e O Connor John J Robertson Edmund F Theodore Motzkin MacTutor History of Mathematics archive University of St Andrews Theodore Motzkin at the Mathematics Genealogy Project a b c d e Joachim Schwermer 1997 Motzkin Theodor Samuel Neue Deutsche Biographie Vol 18 pp 231 ff Motzkin Th 1936 Sur le produit des spaces metriques In Congres International des Mathematiciens pp 137 138 Motzkin T S Raiffa H Thompson G L Thrall R M 1953 The double description method Contributions to the theory of games Annals of Mathematics Studies Vol 2 Princeton N J Princeton University Press pp 51 73 MR 0060202 Motzkin T S 1967 The arithmetic geometric inequality Inequalities Proc Sympos Wright Patterson Air Force Base Ohio 1965 New York Academic Press pp 205 224 MR 0223521 Hans Jurgen Promel 2005 Complete Disorder is Impossible The Mathematical Work of Walter Deuber Combinatorics Probability and Computing Cambridge University Press 14 3 16 doi 10 1017 S0963548304006674 S2CID 37243306 Retrieved from https en wikipedia org w index php title Theodore Motzkin amp oldid 1087307605, wikipedia, wiki, book, books, library,
