The Mathematician John Forbes Nash Jr A Short Biography

Author : Doug West
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781544184050
Total Pages : 58 pages
Book Rating : 4.50/5 ( download)

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Download or read book The Mathematician John Forbes Nash Jr. ? a Short Biography written by Doug West and published by Createspace Independent Publishing Platform. This book was released on 2016-12-07 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: At first glance, John Forbes Nash Jr. seemed to have it all: a Ph.D. from Princeton, a beautiful wife, and a fantastic job teaching mathematics at MIT. He had no idea that at the age of thirty-one, his entire life would fall apart, and it would take decades of hospitalization before his brilliant self would reemerge from the hell of schizophrenia - not unlike a butterfly trapped too long in a cocoon. After a long bout of relative obscurity, mental illness, and poverty, Nash was ultimately awarded - seemingly out of the blue - the Nobel Prize in Economics. At some point during his illness, the world had forgotten about John Nash the man, but that didn't stop people from remembering all that he'd accomplished in his youth. His work has shaped many areas of industry and academia, and has helped solve many important problems. Ultimately, John Nash pushed past the constraints of his brilliance and madness, and found redemption.

Author : Sylvia Nasar
Publisher : Simon and Schuster
ISBN 13 : 1451628420
Total Pages : 464 pages
Book Rating : 4.25/5 ( download)

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Download or read book A Beautiful Mind written by Sylvia Nasar and published by Simon and Schuster. This book was released on 2011-02-08 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The bestselling, prize-winning biography of a mathematical genius who suffered from schizophrenia, miraculously recovered, and then won a Nobel Prize.

Author : Harold W. Kuhn
Publisher : Duke University Press
ISBN 13 : 9780822317821
Total Pages : 512 pages
Book Rating : 4.26/5 ( download)

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Download or read book A Celebration of John F. Nash Jr. written by Harold W. Kuhn and published by Duke University Press. This book was released on 1996 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection celebrates the pathbreaking work in game theory and mathematics of John F. Nash Jr., winner of the 1994 Nobel Prize in Economics. Nash's analysis of equilibria in the theory of non-cooperative games has had a major impact on modern economic theory. This book, also published as volume 81 of the Duke Mathematical Journal, includes an important, but previously unpublished paper by Nash; the proceedings of the Nobel seminar held in Stockholm on December 8, 1994 in his honor; and papers by distinguished mathematicians and economists written in response to and in honor of Nash's pioneering contributions to those fields. In 1950, when he was 22 years old, Nash presented his key idea--the Nash equilibrium--in the Ph.D. thesis he submitted to the Mathematics Department at Princeton University. In that paper, he defined a new concept of equilibrium and used methods from topology to prove the existence of an equilibrium point for n-person, finite, non-cooperative games, that is, for games in which the number of possible strategies are limited, no communication is allowed between the players, and n represents the number of players. The Nash equilibrium point is reached when none of the players can improve their position by changing strategies. By taking into account situations involving more than two players, specifically the general n-player game, Nash built significantly on the previous work of John Von Neumann and Oskar Morgenstern. Contributors. Abbas Bahri, Eric A. Carlen, Ennio De Giorgi, Charles Fefferman, Srihari Govidan, John C. Harsanyi, H. Hoffer, Carlos E. Kenig, S. Klainerman, Harold F. Kuhn, Michael Loss, William F. Lucas, M. Machedon, Roger B. Myerson, Raghavan Narasimhan, John F. Nash Jr., Louis Nirenberg, Jill Pipher, Zeév Rudnick, Peter Sarnak, Michael Shub, Steve Smale, Robert Wilson, K. Wysocki, E. Zehnder

Author : John Forbes Nash, Jr.
Publisher : Springer
ISBN 13 : 3319321625
Total Pages : 543 pages
Book Rating : 4.22/5 ( download)

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Download or read book Open Problems in Mathematics written by John Forbes Nash, Jr. and published by Springer. This book was released on 2016-07-05 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.

Author : John Nash
Publisher : Princeton University Press
ISBN 13 : 140088408X
Total Pages : 272 pages
Book Rating : 4.87/5 ( download)

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Download or read book The Essential John Nash written by John Nash and published by Princeton University Press. This book was released on 2016-06-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949. From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness. In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography. The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

Author : Tom Siegfried
Publisher : National Academies Press
ISBN 13 : 0309133807
Total Pages : 272 pages
Book Rating : 4.07/5 ( download)

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Download or read book A Beautiful Math written by Tom Siegfried and published by National Academies Press. This book was released on 2006-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 0674417755
Total Pages : 377 pages
Book Rating : 4.55/5 ( download)

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Download or read book Evolutionary Dynamics written by Martin A. Nowak and published by Harvard University Press. This book was released on 2006-09-29 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Author : E.T. Bell
Publisher : Simon and Schuster
ISBN 13 : 1476784256
Total Pages : 608 pages
Book Rating : 4.50/5 ( download)

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Download or read book Men of Mathematics written by E.T. Bell and published by Simon and Schuster. This book was released on 2014-03-31 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.

Author : Akiva Goldsman
Publisher : Newmarket Press
ISBN 13 : 9781557045461
Total Pages : 0 pages
Book Rating : 4.61/5 ( download)

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Download or read book A Beautiful Mind written by Akiva Goldsman and published by Newmarket Press. This book was released on 2002-06-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Beautiful Mind, the intensely human drama of a true genius, is inspired by events in the life of mathematician John Forbes Nash, Jr. The handsome and highly eccentric Nash made an astonishing discovery early in life and stood on the brink of international acclaim. But his white-hot ascent into the intellectual stratosphere drastically changed course when Nash's intuitive brilliance was undermined by schizophrenia. Facing challenges that have destroyed many others, Nash fought back, with the help of his devoted wife Alicia. After decades of hardship, he triumphed over tragedy, and received the Nobel Prize in 1994. A living legend, Nash continues to pursue his work today." Directed by Ron Howard and produced by Brian Grazer, this Universal and DreamWorks production stars Russell Crowe as John Nash. The screenplay of A Beautiful Mind was written by Akiva Goldsman and based in part on the biography of Sylvia Nasar. The cast also includes Ed Harris, Jennifer Connelly, Paul Bettany, and Judd Hirsch.

Author : David Lindsay Roberts
Publisher : Johns Hopkins University Press
ISBN 13 : 1421433087
Total Pages : 255 pages
Book Rating : 4.80/5 ( download)

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Download or read book Republic of Numbers written by David Lindsay Roberts and published by Johns Hopkins University Press. This book was released on 2019-10-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.