- The name comes from the gramophone awards.
- American music awards.Academy naras presents its awards.
- Covers more than 108 different categories and 30 different music genres.
- Sir Georg Solti, the artist who won the most grammy awards.
- Arif Mardin is the first Turkish artist to receive a Grammy Award.

in general, the features are like this…

## BİOGRAPHY OF JOHN NASH

West Virginia, U.S.—died May 23, 2015, near Monroe Township, New Jersey), American mathematician who was awarded the 1994 Nobel Prize for Economics for his landmark work, first begun in the 1950s, on the mathematics of game theory. He shared the prize with John C. Harsanyi and Reinhard Selten. In 2015 Nash won (with Louis Nirenberg) the Abel Prize for his contributions to the study of partial differential equations.

Nash enrolled in chemical engineering at the Carnegie Institute of Technology (later Carnegie Mellon University) in Pittsburgh before he switched to chemistry and then to mathematics, in which he finally received both bachelor’s and master’s degrees in 1948. Two years later, at age 22, he completed a doctorate at Princeton University. In 1951 he joined the faculty of the Massachusetts Institute of Technology (MIT), where he pursued research into partial differential equations. He resigned in the late 1950s after bouts of mental illness. He then began an informal association with Princeton, where he became a senior research mathematician in 1995.

While he was still in graduate school, Nash published (April 1950) his first paper, “The Bargaining Problem,” in the journal *Econometrica*. He expanded on his mathematical model for bargaining in his influential doctoral thesis, “Non-Cooperative Games,” which appeared in September 1951 in the journal *Annals of Mathematics*. Nash thus established the mathematical principles of game theory, a branch of mathematics that examines the rivalries between competitors with mixed interests. Known as the Nash solution or the Nash equilibrium, his theory attempted to explain the dynamics of threat and action between competitors. Despite its practical limitations, the Nash solution was widely applied by business strategist

Nash’s research into differential equations at MIT led to his seminal paper “Real Algebraic Manifolds,” which was published in *Annals of Mathematics* in November 1952. His other influential work in mathematics included the Nash-Moser inverse function theorem, the Nash–De Giorgi theorem (a solution to David Hilbert’s 19th problem, which Nash undertook at the suggestion of Nirenberg), and the Nash embedding (or imbedding) theorems, which the Norwegian Academy of Science and Letters described as “among the most original results in geometric analysis of the twentieth century”; the academy awarded Nash the Abel Prize. His other honours included the John von Neumann Theory Prize (1978) and the American Mathematical Society’s Leroy P. Steele Prize for a Seminal Contribution to Research