# John F. Nash

John F. Nash is a person.

**AKA:**John Forbes Nash, Jr..**See:**New Jersey, Bluefield, West Virginia, Monroe Township, Middlesex County, New Jersey, Mathematics, Economics, Massachusetts Institute of Technology, Princeton University, Carnegie Institute of Technology, Carnegie Mellon University, Albert W. Tucker, Nash Equilibrium, Nash Embedding Theorem.

## References

### 2015

- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr. Retrieved:2015-5-25.
**John Forbes Nash, Jr.**(June 13, 1928 – May 23, 2015) was an American mathematician whose works in game theory, differential geometry, and partial differential equations have provided insight into the factors that govern chance and events inside complex systems in daily life.His theories are used in economics, computing, evolutionary biology, artificial intelligence, accounting, politics and military theory. Serving as a Senior Research Mathematician at Princeton University during the latter part of his life, he shared the 1994 Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi. In 2015, he was awarded the Abel Prize (along with Louis Nirenberg) for his work on nonlinear partial differential equations.

In 1959, Nash began showing clear signs of mental illness, and spent several years at psychiatric hospitals being treated for paranoid schizophrenia. After 1970, his condition slowly improved, allowing him to return to academic work by the mid-1980s.

^{[1]}His struggles with his illness and his recovery became the basis for Sylvia Nasar's biography,*A Beautiful Mind*, as well as a film of the same name starring Russell Crowe.^{[2]}On May 23, 2015, Nash and his wife were killed in an automobile accident in New Jersey.

### 1994

- (Nash, 1994) ⇒ "John F. Nash". (1994). “John F. Nash, Jr. – Autobiography". Nobel Foundation. 1994. Retrieved February 5, 2011.
- QUOTE: … I spent times of the order of five to eight months in hospitals in New Jersey, always on an involuntary basis and always attempting a legal argument for release. And it did happen that when I had been long enough hospitalized that I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research. In these interludes of, as it were, enforced rationality, I did succeed in doing some respectable mathematical research. Thus there came about the research for "Le problème de Cauchy pour les équations différentielles d'un fluide général"; the idea that Prof. Hironaka called "the Nash blowing-up transformation"; and those of "Arc Structure of Singularities" and "Analyticity of Solutions of Implicit Function Problems with Analytic Data".
But after my return to the dream-like delusional hypotheses in the later 60s I became a person of delusionally influenced thinking but of relatively moderate behavior and thus tended to avoid hospitalization and the direct attention of psychiatrists.

Thus further time passed. Then gradually I began to intellectually reject some of the delusionally influenced lines of thinking which had been characteristic of my orientation. This began, most recognizably, with the rejection of politically oriented thinking as essentially a hopeless waste of intellectual effort. So at the present time I seem to be thinking rationally again in the style that is characteristic of scientists.[8]

- QUOTE: … I spent times of the order of five to eight months in hospitals in New Jersey, always on an involuntary basis and always attempting a legal argument for release. And it did happen that when I had been long enough hospitalized that I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research. In these interludes of, as it were, enforced rationality, I did succeed in doing some respectable mathematical research. Thus there came about the research for "Le problème de Cauchy pour les équations différentielles d'un fluide général"; the idea that Prof. Hironaka called "the Nash blowing-up transformation"; and those of "Arc Structure of Singularities" and "Analyticity of Solutions of Implicit Function Problems with Analytic Data".