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John Forbes Nash Jr. His theories are widely used in economics. Serving as a senior research mathematician at Princeton University during the later part of his life, he shared the Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi.
In , he also shared the Abel Prize with Louis Nirenberg for his work on nonlinear partial differential equations. In , Nash began showing clear signs of mental illness, and spent several years at psychiatric hospitals being treated for paranoid schizophrenia.
After , his condition slowly improved, allowing him to return to academic work by the mids. Nash was born on June 13, , in Bluefield, West Virginia. He was baptized in the Episcopal Church. Nash attended kindergarten and public school, and he learned from books provided by his parents and grandparents. He attended Carnegie Institute of Technology which later became Carnegie Mellon University through a full benefit of the George Westinghouse Scholarship, initially majoring in chemical engineering.
He switched to a chemistry major and eventually, at the advice of his teacher John Lighton Synge , to mathematics. After graduating in at age 19 with both a B. Nash's adviser and former Carnegie professor Richard Duffin wrote a letter of recommendation for Nash's entrance to Princeton stating, "He is a mathematical genius. However, the chairman of the mathematics department at Princeton, Solomon Lefschetz , offered him the John S.
Kennedy fellowship, convincing Nash that Princeton valued him more. Nash earned a Ph. The thesis, written under the supervision of doctoral advisor Albert W. Tucker , contained the definition and properties of the Nash equilibrium , a crucial concept in non-cooperative games. Nash did groundbreaking work in the area of real algebraic geometry :. His work in mathematics includes the Nash embedding theorem , which shows that every abstract Riemannian manifold can be isometrically realized as a submanifold of Euclidean space.