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| '''Mark Kac''' (pronounced ''kahts'', {{lang- |
'''Mark Kac''' (pronounced ''kahts'', {{lang-ua|Марко Кац}}, b. ] ], ], ], then in the ]; d. ]], ], ]) was a ] and ] mathematician of ] and ] ancestry <ref name="rochester"> Obituary in ''Rochester Democrat & Chronicle'', 11 November 1984 </ref>. His main interest was ] theory. His question "can you hear the shape of a drum?" set off research into ], with the idea of understanding the extent to which the spectrum allows one to read back the geometry. (In the end, the answer was "no", in general.) | ||
| His book of popularisation with ] is a minor classic. | His book of popularisation with ] is a minor classic. | ||
| Kac completed his Ph.D. in mathematics at the ] in 1937 under the direction of ] <ref name="mathgen"> Mathematics Genealogy Project entry on Mark Kac </ref>. While there, he was a member of the ]. After receiving his degree he began to look for a position abroad, and in 1938 was granted a scholarship from the Parnas Foundation which enabled him to go work in the United States. He |
Kac completed his Ph.D. in mathematics at ] (also known as the ] during the occupation by Nazi Germany and dictator-ruled militaristic and ] Poland) in 1937 under the direction of ] <ref name="mathgen"> Mathematics Genealogy Project entry on Mark Kac </ref>. While there, he was a member of the ]. After receiving his degree he began to look for a position abroad, and in 1938 was granted a scholarship from the Parnas Foundation which enabled him to go work in the United States. He fled the dictator-ruled militaristic and ] and arrived in New York City in November, 1938. <ref name="autobio">Mark Kac, ''Enigmas of Chance: An Autobiography'', Harper and Row, New York, 1985. ISBN 0060154330</ref>. From 1939 until 1961 he was at ], first as an instructor, then from 1943 as assistant professor and from 1947 as full professor <ref name="mactutor"> O'Connor, John J., and Edmund F. Robertson. "Mark Kac". MacTutor History of Mathematics archive </ref>. While there, he became a naturalized US citizen in 1943. In 1961 he left Cornell and went to ] in New York City. After twenty years there, he moved to the ] where he spent the rest of his career. | ||
| ==Books== | ==Books== | ||
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| ==References== | ==References== | ||
Revision as of 06:53, 14 March 2007
Mark Kac (pronounced kahts, Template:Lang-ua, b. 3 August 1914, Krzemieniec, Ukraine, then in the Russian Empire; d. 26 October1984, California, USA) was a Ukrainian and American mathematician of Jewish and Polish ancestry . His main interest was probability theory. His question "can you hear the shape of a drum?" set off research into spectral theory, with the idea of understanding the extent to which the spectrum allows one to read back the geometry. (In the end, the answer was "no", in general.) His book of popularisation with Stanislaw Ulam is a minor classic.
Kac completed his Ph.D. in mathematics at Ivan Franko Lviv National Ukrainian University (also known as the University of Lwów during the occupation by Nazi Germany and dictator-ruled militaristic and anti-Semitic Poland) in 1937 under the direction of Hugo Steinhaus . While there, he was a member of the Lwów School of Mathematics. After receiving his degree he began to look for a position abroad, and in 1938 was granted a scholarship from the Parnas Foundation which enabled him to go work in the United States. He fled the dictator-ruled militaristic and anti-semitic Poland and arrived in New York City in November, 1938. . From 1939 until 1961 he was at Cornell University, first as an instructor, then from 1943 as assistant professor and from 1947 as full professor . While there, he became a naturalized US citizen in 1943. In 1961 he left Cornell and went to Rockefeller University in New York City. After twenty years there, he moved to the University of Southern California where he spent the rest of his career.
Books
- Mark Kac and Stanisław Ulam: Mathematics and Logic: Retrospect and Prospects, Praeger, New York (1968) Dover paperback reprint.
- Mark Kac, Enigmas of Chance: An Autobiography, Harper and Row, New York, 1985. Sloan Foundation Series. Published posthumously with a memoriam note by Gian-Carlo Rota. Kac's distinction between an "ordinary genius" like Hans Bethe and a "magician" like Richard Feynman has been widely quoted. (Kac knew both at Cornell University.) ISBN 0060154330
See also
- Hearing the shape of a drum
- Feynman-Kac formula
- Hugo Steinhaus
- Erdős-Kac theorem
- Polish anti-Semitism
References
- Obituary in Rochester Democrat & Chronicle, 11 November 1984
- Mathematics Genealogy Project entry on Mark Kac
- Mark Kac, Enigmas of Chance: An Autobiography, Harper and Row, New York, 1985. ISBN 0060154330
- O'Connor, John J., and Edmund F. Robertson. "Mark Kac". MacTutor History of Mathematics archive
External links
- O'Connor, John J.; Robertson, Edmund F., "Mark Kac", MacTutor History of Mathematics Archive, University of St Andrews
- Mark Kac at the Mathematics Genealogy Project
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