Albert William Tucker (28 November 1905 – 25 January 1995) was a Canadian mathematician who made important contributions in topology, game theory, and non-linear programming. Albert Tucker was born in Oshawa, Ontario, Canada, and earned his B.A. at the University of Toronto in 1928 and his M.A. at the same institution in 1929. In 1932, he earned his Ph.D. at Princeton University under the supervision of Solomon Lefschetz, with a dissertation entitled An Abstract Approach to Manifolds. In 1932–33 he was a National Research Fellow at Cambridge, Harvard, and then University of Chicago.
Read all..
This is a video about (170705) 주간 아이돌 310회 블랙핑크 (BLACKPINK) - Weekly idol ep 310 BLACKPINK
主要支援：已於2009年4月8日到期 延伸支援：已於2014年4月8日到期（仅限Service Pack 3 x86（SP3 x86）及Service Pack 2 x64（SP2 x64）） 新增的功能 移除的功能 版本 开发历史 批評 主题 Windows XP（开发代号：）是微软公司推出供个人电脑使用的操作系统，包括商用及家用的桌上型电脑、笔记本电脑、媒体中心（英语：）和平板电脑等。其RTM版于2001年8月24日发布；零售版于2001年10月25日上市。其名字「」的意思是英文中的「体验」（）。Windows ..
Nov 13, 2019- Explore dobdan222's board "교복", followed by 405 people on Pinterest. See more ideas about Asian girl, Korean student and Fashion.
Nov 10, 2019- Explore cutebear36088's board "여고딩", followed by 557 people on Pinterest. See more ideas about School looks, Fashion and School uniform.
Republika obeh narodov Habsburška monarhija Bavarska Saška Franconia Švabska Zaporoški kozaki Velika vojvodina Toskana Drugo obleganje Dunaja je potekalo leta 1683; pričelo se je 14. julija 1683, ko je Osmanski imperij obkolil Dunaj in končalo 11. septembra ..
Robert Henry Goldsborough (January 4, 1779 – October 5, 1836) was an American politician from Talbot County, Maryland. Goldsborough was born at "Myrtle Grove" near Easton, Maryland. He was educated by private tutors and graduated from St. John's College in ..
Anabolic steroids, also known more properly as anabolic–androgenic steroids (AAS), are steroidal androgens that include natural androgens like testosterone as well as synthetic androgens that are structurally related and have similar effects to testosterone. ..
Albert W. Tucker | |
|---|---|
 | |
| Born | Albert William Tucker 28 November 1905 |
| Died | 25 January 1995 (aged 89) Hightstown, New Jersey, U.S. |
| Nationality | Canadian American |
| Alma mater | University of Toronto, Princeton University |
| Known for | Prisoner's dilemma Karush–Kuhn–Tucker conditions Combinatorial linear algebra |
| Awards | John von Neumann Theory Prize (1980) |
| Scientific career | |
| Fields | Mathematician: Combinatorial topology Optimization |
| Institutions | Princeton University |
| Thesis | An Abstract Approach to Manifolds[1] (1932) |
| Doctoral advisor | Solomon Lefschetz[1] |
| Doctoral students | David Gale John R. Isbell Marvin Minsky John Forbes Nash Torrence Parsons Lloyd Shapley |
| Influenced | Harold W. Kuhn David Gale R. Tyrrell Rockafellar |
Albert William Tucker (28 November 1905 – 25 January 1995) was a Canadian mathematician who made important contributions in topology, game theory, and non-linear programming.[2]
Albert Tucker was born in Oshawa, Ontario, Canada, and earned his B.A. at the University of Toronto in 1928 and his M.A. at the same institution in 1929.[3] In 1932, he earned his Ph.D. at Princeton University under the supervision of Solomon Lefschetz, with a dissertation entitled An Abstract Approach to Manifolds.[4] In 1932–33 he was a National Research Fellow at Cambridge, Harvard, and then University of Chicago.
He then returned to Princeton to join the faculty in 1933, where he stayed till 1974. He chaired the mathematics department for about twenty years, one of the longest tenures. His extensive relationships within the field made him a great source for oral histories of the mathematics community.
His Ph.D. students include Michel Balinski, David Gale, Alan J. Goldman, John Isbell, Stephen Maurer, Turing Award winner Marvin Minsky, Nobel Prize winner John Nash, Torrence Parsons, Nobel Prize winner Lloyd Shapley, Robert Singleton, and Marjorie Stein. Tucker advised and collaborated with Harold W. Kuhn on a number of papers and models.
In 1950, Albert Tucker gave the name and interpretation "prisoner's dilemma" to Merrill M. Flood and Melvin Dresher's model of cooperation and conflict, resulting in the most well-known game theoretic paradox.[citation needed] He is also well known for the Karush–Kuhn–Tucker conditions, a basic result in non-linear programming, which was published in conference proceedings, rather than in a journal.
In the 1960s, he was heavily involved in mathematics education, as chair of the AP Calculus committee for the College Board (1960–1963), through work with the Committee on the Undergraduate Program in Mathematics (CUPM) of the MAA (he was president of the MAA in 1961–1962), and through many NSF summer workshops for high school and college teachers. George B. Thomas Jr. acknowledged Tucker's contribution of many exercises to Thomas's classic textbook, Calculus and Analytic Geometry."[5]
In the early 1980s, Tucker recruited Princeton history professor Charles Coulston Gillispie to help him set up an oral history project to preserve stories about the Princeton mathematical community in the 1930s. With funding from the Sloan Foundation, this project later expanded its scope. Among those who shared their memories of such figures as Einstein, von Neumann, and Gödel were computer pioneer Herman Goldstine and Nobel laureates John Bardeen and Eugene Wigner.
Albert Tucker noticed the leadership ability and talent of a young mathematics graduate student named John G. Kemeny, whose hiring Tucker suggested to Dartmouth College. Following Tucker's advice, Dartmouth recruited Kemeny, who became Chair of the Mathematics Department and later College President. Years later, Dartmouth College recognized Albert Tucker with an honorary degree. Tucker died in Hightstown, N.J. in 1995 at age 89. His sons, Alan Tucker and Thomas W. Tucker, and his grandson Thomas J. Tucker are all also professional mathematicians.
At each (triennial) International Symposium of the Mathematical Optimization Society (MOS) the Tucker Prize, in honour of A. W. Tucker, is given for outstanding thesis in the area of discrete mathematics.[6]
| Academic offices | ||
|---|---|---|
| Preceded by Emil Artin |
Dod Professor of Mathematics at Princeton University 1954–1974 |
Succeeded by Elias Stein |
