John Forbes Nash
From Wikipedia, the free encyclopedia
| John Forbes Nash, Jr. | |
 John Nash in 2006.
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| Born | June 13, 1928 Bluefield, West Virginia, U.S. |
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| Residence |  USA |
| Nationality | United States |
| Fields | Mathematician |
| Institutions | Massachusetts Institute of Technology Princeton University |
| Alma mater | Carnegie Institute of Technology Princeton University |
| Doctoral advisor | Albert W. Tucker |
| Known for | Nash equilibrium Nash embedding theorem Algebraic geometry |
| Notable awards |  Nobel Prize in Economics (1994) |
John Forbes Nash, Jr. (born June 13, 1928), is an American mathematician who works in game theory, differential geometry, and partial differential equations, serving as a Senior Research Mathematician at Princeton University. He shared the 1994 Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi.
Nash is also the subject of the Hollywood movie, A Beautiful Mind, which was nominated for eight Oscars,[1] and was based on the biography of the same name about him, his mathematical genius and his struggle with schizophrenia.
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[edit] Early life
Nash was born and raised in the state of West Virginia. He was born to electrical engineer John Forbes Nash and his wife Margaret Virginia Martin, an English and Latin teacher. On November 16, 1930 his sister Martha Nash was born. He was an avid reader of Compton's Pictured Encyclopedia, Life Magazine, and Time Magazine. Later he had a job at the Bluefield Daily Telegraph.
At the age of twelve, he was carrying out scientific experiments in his room. It was quite apparent at a young age that he did not like working with other people, preferring to do things alone. He returned the social rejection of his classmates with practical jokes and intellectual superiority, believing their dances and sports to be a distraction from his experiments and studies.
Martha, his younger sister, seems to have been a normal child, while John seemed different from other children. She wrote later in life: "Johnny was always different. [My parents] knew he was different. And they knew he was bright. He always wanted to do things his way. Mother insisted I do things for him, that I include him in my friendships... but I wasn't too keen on showing off my somewhat odd brother." [2]
In his autobiography, Nash notes that it was E.T. Bell's book, Men of Mathematics—in particular, the essay on Fermat—that first sparked his interest in mathematics. He attended classes at Bluefield College while still in high school. He later attended the Carnegie Institute of Technology (now Carnegie Mellon University) in Pittsburgh, Pennsylvania on a Westinghouse scholarship, where he studied first chemical engineering and later chemistry before switching to mathematics. He received both his bachelor's degree and his master's degree in 1948 while at the Carnegie Institute.
After graduation, Nash took a summer job in White Oak, Maryland, working on a Navy research project being run by Clifford Truesdell.
[edit] Post-graduate life
In 1948, while applying to Princeton’s mathematics department, Nash's advisor and former Carnegie Tech professor, R.J. Duffin, wrote a letter of recommendation consisting of a single sentence: "This man is a genius."[3] Though accepted by Harvard University, which had been his first choice because of what he perceived to be the institution's greater prestige and superior mathematics faculty, he was aggressively pursued by then chairman of the mathematics department at Princeton University, Solomon Lefschetz, whose offer of the John S. Kennedy fellowship was enough to convince him that Harvard valued him less.[4] Thus, from White Oak he went to Princeton University, where he worked on his equilibrium theory (Nash equilibrium). He earned a doctorate in 1950 with a dissertation on non-cooperative games.[5] The thesis, which was written under the supervision of Albert W. Tucker, contained the definition and properties of what would later be called the "Nash equilibrium". These studies led to three articles:
- "Equilibrium Points in N-person Games", Proceedings of the National Academy of Sciences 36 (1950), 48–49. MR0031701
- "The Bargaining Problem", Econometrica 18 (1950), 155–162. MR0035977
- "Two-person Cooperative Games", Econometrica 21 (1953), 128–140. MR0053471
Nash also did important work in the area of algebraic geometry:
- "Real algebraic manifolds", Annals of Mathematics 56 (1952), 405–421. MR0050928 See also Proc. Internat. Congr. Math. (AMS, 1952, pp 516–517).
His most famous work in pure mathematics was the Nash embedding theorem, which showed that any abstract Riemannian manifold can be isometrically realized as a submanifold of Euclidean space. He also made contributions to the theory of nonlinear parabolic partial differential equations.
In 1951, Nash went to the Massachusetts Institute of Technology as a C. L. E. Moore Instructor in the mathematics faculty. There, he met Alicia López-Harrison de Lardé (born January 1, 1933), a physics student from El Salvador, whom he married in February 1957. Alicia admitted Nash to a mental hospital in 1959 for schizophrenia; their son, John Charles Martin Nash, was born soon afterwards, but remained nameless for a year because his mother felt that her husband should have a say in the name.
Nash and Lopez-Harrison de Lardé divorced in 1963, but reunited in 1970, in a nonromantic relationship that resembled that of two unrelated housemates. Alicia referred to him as her "boarder" and said they lived "like two distantly related individuals under one roof," according to Sylvia Nasar's 1998 biography of Nash, A Beautiful Mind. The couple renewed their relationship after Nash won the Nobel Prize in Economics in 1994. They remarried June 1, 2001.
Nash had another son, John David (born June 19, 1953), with Eleanor Stier, but allegedly had little to do with the child or his mother. However, in a CBS 60 Minutes interview aired in March 2002, the mathematician denied that his relationship with his son from a previous relationship was "non-existent", that in fact he and John Stier are in contact and that Stier even received a share of the film's royalties.
[edit] Schizophrenia
Nash began to show signs of schizophrenia in 1958. He became paranoid and was admitted into the McLean Hospital, April–May 1959, where he was diagnosed with paranoid schizophrenia and mild depression with low self-esteem. After a problematic stay in Paris and Geneva, Nash returned to Princeton in 1960. He remained in and out of mental hospitals until 1970, being given insulin shock therapy and antipsychotic medications, usually as a result of being committed rather than by his choice. After 1970, by his choice, he never took antipsychotic medication again. According to his biographer Nasar, he recovered gradually with the passage of time. Encouraged by his wife, Alicia, Nash worked in a communitarian setting where his eccentricities were accepted.
In campus legend, Nash became "The Phantom of Fine Hall" (Fine Hall is Princeton's mathematics center), a shadowy figure who would scribble arcane equations on blackboards in the middle of the night. The legend appears in a work of fiction based on Princeton life, The Mind-Body Problem, by Rebecca Goldstein.
[edit] Recognition and later career
In 1978, Nash was awarded the John von Neumann Theory Prize for his discovery of non-cooperative equilibria, now called Nash equilibria. He won the Leroy P. Steele Prize in 1999.
In 1994, he received the Nobel Memorial Prize in Economic Sciences (along with two others), as a result of his game theory work as a Princeton graduate student. In the late 1980s, Nash had begun to use electronic mail to gradually link with working mathematicians who realized that he was "the" John Nash and that his new work had value. They formed part of the nucleus of a group that contacted the Bank of Sweden's Nobel award committee, and were able to vouch for Nash's mental health ability to receive the award in recognition of his early work.
Nash's recent work involves ventures in advanced game theory, including partial agency, that show that, as in his early career, he prefers to select his own path and problems. Between 1945 and 1996, he published 23 scientific studies.
Nash also created two popular games: Hex (independently created first in 1942 by Piet Hein), and So Long Sucker in 1950 with M. Hausner and Lloyd S. Shapley.
[edit] Personal life
In 2002 aspects of Nash's personal life were brought to international attention when "mudslinging" ensued over screenwriter Akiva Goldsman's semifictional interpretation of Sylvia Nasar's biography of Nash's life in A Beautiful Mind in relation to the film of the same name.[6] The movie A Beautiful Mind, nominated for eight Oscars,[1] credits Goldsman under "written by" rather than "screenplay by" from the Writer's Guild as Goldsman's "omissions are glaring and peculiar, specifically Nash's homosexual experiences,[7] his extramarital sexual activities,[8][1] his racial attitudes and anti-Semitic remarks."[9] Nash later claimed any antisemitic remarks must have been made while he was delirious.[9]
In the mid-1950s Nash was arrested in a Santa Monica restroom on a morals charge related to a gay sexual encounter and "subsequently lost his post at the RAND Corporation along with his security clearance."[10][11] According to Nasar, "After this traumatic series of career-threatening events, he decided to marry."[11]
Nasar stated about the film that the filmmakers had "invented a narrative that, while far from a literal telling, is true to the spirit of Nash's story."[7] Others suggested that the material was "conveniently left out of the movie in order to make Nash more sympathetic,"[12] possibly in an effort to more fully focus on the "debilitating longevity" of living with paranoid-schizophrenia on a day-to-day basis.[12]
Russell Crowe played the John Nash role in the movie adaptation of the book.
New York Times critic A. O. Scott pointed to a different perspective. Scott wrote of the Oscar scandal and the artistic choices made in the omissions as well as choices, such as casting actors, that have to be made that "the cold war in A Beautiful Mind in which the paranoia and uncertainty of McCarthy-era academic life is reduced to spy-movie clichés" smoothed over "and made palatable and familiar" a "difficult passage in American history."[13] Thus the cold war's effects on Nash's life and career were left unexplored.[13] Goldsman won the Oscar for "Best Adapted Screenplay".[9]
[edit] References
- ^ a b c Oscar race scrutinizes movies based on true stories. USA Today (6 March 2002). Retrieved on 2008-01-22.
- ^ Nasar, Sylvia. A Beautiful Mind, page 32. Simon & Schuster, 1998
- ^ Kuhn W., Harold; Sylvia Nasar (Eds.). The Essential John Nash (PDF) Introduction, xi. Princeton University Press. Retrieved on 2008-04-17.
- ^ Nasar, Sylvia. A Beautiful Mind, page 46-47. Simon & Schuster, 1998
- ^ Seeley G. Mudd Manuscript Library : FAQ John Nash
- ^ Levy, Emanuel (2003, page 16). All about Oscar: The History and Politics of the Academy Awards. Continuum International Publishing Group, ISBN 0826414524. Retrieved on 2008-01-22.
- ^ a b A Real Number. Slate Magazine. Retrieved on 16 August 2007.
- ^ Eleanor Stier, 84. The Boston Globe. Retrieved on 5 December 2007.
- ^ a b c Levy, Emanuel (2003, page 145). All about Oscar: The History and Politics of the Academy Awards. Continuum International Publishing Group, ISBN 0826414524. Retrieved on 2008-01-22.
- ^ Leebaert, Derek (2002, page 117). The Fifty-Year Wound: How America's Cold War Victory Shapes Our World. Back Bay, ISBN 0316164968. Retrieved on 2008-01-22.
- ^ a b Johnson, David K. (2004, page 160). The Lavender Scare: The Cold War Persecution of Gays and Lesbians in The Federal Government. University of Chicago Press, ISBN 0226404811. Retrieved on 2008-01-22.
- ^ a b Wehner, Chris C. (2003, page 40). Who Wrote That Movie?: Screenwriting in Review: 2000 - 2002. iUniverse, ISBN 0595292690. Retrieved on 2008-01-22.
- ^ a b Scott, A. O. (21 March 2002). Critic's Notebook: A 'Mind' Is a Hazardous Thing to Distort. New York Times. Retrieved on 2008-01-22.
[edit] External links
- Autobiography at the Nobel Prize website
- Nash's home page at Princeton
- Nash FAQ from Princeton's Mudd Library, including a copy of his dissertation in PDF format
- Video of Dr. Sylvia Nasar narrating the story of John Nash at MIT
- Beautiful mind, unconventional matter, a 2001 Daily Princetonian interview
- O'Connor, John J. & Robertson, Edmund F., “John Forbes Nash”, MacTutor History of Mathematics archive
- John Forbes Nash at the Mathematics Genealogy Project
- "A Brilliant Madness" - a PBS American Experience documentary
- John Nash speaks out about alleged omissions in film - Guardian Unlimited
- John Nash and "A Beautiful Mind" Written by John Milnor as a reaction to the book A Beautiful Mind – not the movie – and mostly focusing on his mathematical achievements.
- "John Forbes Nash, Jr.". John H. Lienhard. The Engines of Our Ingenuity. NPR. KUHF-FM Houston. 1994. No. 983. Transcript.
- Department of Economics - News
- John F. Nash presented in Freedom section
- Penn State's The 2003-2004 John M. Chemerda Lectures in Science: Dr. John F. Nash, Jr.
- video: Ariel Rubinstein's Lecture: "John Nash, Beautiful Mind and Game Theory"
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| Persondata | |
|---|---|
| NAME | Jr., John Forbes Nash |
| ALTERNATIVE NAMES | |
| SHORT DESCRIPTION | Mathematician |
| DATE OF BIRTH | 13 June 1928 |
| PLACE OF BIRTH | Bluefield, West Virginia, U.S. |
| DATE OF DEATH | |
| PLACE OF DEATH | |
