Philip Martin Whitman is an American mathematician who contributed to lattice theory, particularly the theory of free lattices.
Philip Martin Whitman | |
|---|---|
| Nationality | American |
| Education | Haverford College |
| Alma mater | Harvard University |
| Known for | Free lattice word problem |
| Awards | AMS Honorary Member |
| Scientific career | |
| Fields | Lattice theory |
| Institutions | UPenn,[1] Tufts[2] |
| Thesis | Free Lattices (1941) |
| Doctoral advisor | Garrett Birkhoff |
Living in Pittsburgh,[3] he attended the Haverford College, where he earned a corporation scholarship for 1936–37,[4] and a Clementine Cope fellowship for 1937–38,[5] and was awarded highest honors in mathematical astronomy in 1937.[6] He was elected to the college's chapter of the Phi Beta Kappa Society.[7] In June 1937, he was conferred the Bachelor of science degree from Haverford.[8] According to Garrett Birkhoff, Whitman was an undergraduate Harvard student in 1937,[9] and an outstanding graduate student not later than 1940, one of the first who taught elementary courses to freshmen in the mathematics department.[10] In 1938 he earned his AM,[11] and in June 1941 he obtained his Ph.D. degree from Harvard University.[12] He was a member of the AMS not later than 1947,[13] and was awarded an AMS honorary membership not later than 1995.[14]
Selected publications edit
- Whitman, Philip Martin (Jun 1940). Schrödinger Wave Mechanics of the Hydrogen Atom (Manuscript minor thesis in mathematics). Harvard students' essays. Harvard University.
- Whitman, Philip Martin (1941). Free lattices (Ph.D. thesis). Harvard University.
- Philip Whitman (1941). "Free Lattices". Annals of Mathematics. 42 (1): 325–329. doi:10.2307/1969001. JSTOR 1969001.
- Philip Whitman (1942). "Free Lattices II". Annals of Mathematics. 43 (1): 104–115. doi:10.2307/1968883. JSTOR 1968883.
- Phillip M. Whitman (1943). "Splittings of a lattice". American Journal of Mathematics. 65 (1): 179–196. doi:10.2307/2371781. JSTOR 2371781.
- Philip Whitman (1946). "Lattices, equivalence relations, and subgroups". Bulletin of the American Mathematical Society. 52 (6): 507–522. doi:10.1090/s0002-9904-1946-08602-4.
- Philip M. Whitman (Apr 1948). "Groups with a cyclic group as lattice-homomorph". Annals of Mathematics. 49 (2): 347–351. doi:10.2307/1969283. JSTOR 1969283.
- Garrett Birkhoff; Philip M. Whitman (1949). "Representation of Jordan and Lie Algebras" (PDF). Transactions of the American Mathematical Society. 65 (1): 116–136. doi:10.2307/1990517. JSTOR 1990517.
- Philip M. Whitman (1961). "Status of word problems for lattices". In R. P. Dilworth (ed.). Lattice Theory. Proceedings of Symposia in Pure Mathematics. Vol. 2. Providence/RI: American Mathematical Society. pp. 17–21. ISBN 978-0-8218-1402-4.
References edit
- Garrett Birkhoff (1988). "Mathematics at Harvard, 1836–1944". In Peter Duren; Richard A. Askey; Uta C. Merzbach (eds.). A Century of Mathematics in America — Part II (PDF). History of Mathematics. Vol. 2. Providence, RI: American Mathematical Society. pp. 3–58. ISBN 0-8218-0130-9.
- Haverford College Bulletin, Vol. 35–36, 1936–1938
- ^ Whitman (1946), p. 522
- ^ Birkhoff, Whitman (1949), p. 136
- ^ Haverford Bulletin p. 12 (= vol.35, p. (6))
- ^ Haverford Bulletin p. 125 (= vol 35., p. 99)
- ^ Haverford Bulletin p. 429 (= vol.36, p. 101)
- ^ Haverford Bulletin p. 433
- ^ Haverford Bulletin, p. 128, 432
- ^ Haverford Bulletin p. 428 (= vol.36, p. 100)
- ^ Birkhoff (1988), p. 50
- ^ Birkhoff (1988), p. 24
- ^ Record at Harvard library
- ^ Haverford News, Vol.33, No.5, Tue 28 Oct 1941, p. 8 (7)
- ^ Bulletin of the AMS, Jul 1947, p. 715
- ^ Notices of the AMS Vol.42, No.12, Dec.1995, p. 1555