A Celebration of John F. Nash Jr.

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Publisher : Duke University Press
ISBN 13 : 9780822317821
Total Pages : 512 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis A Celebration of John F. Nash Jr. by : Harold W. Kuhn

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 This book, also published as volume 81 of the Duke Mathematical Journal, includes an important, but previously unpublished paper by Nash; the proceedings of the Nobel seminar held in Stockholm on December 8, 1994 in his honor; and papers by distinguished mathematicians and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

Open Problems in Mathematics

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Publisher : Springer
ISBN 13 : 3319321625
Total Pages : 543 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Open Problems in Mathematics by : John Forbes Nash, Jr.

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.

A Beautiful Mind

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Publisher : Simon and Schuster
ISBN 13 : 1451628420
Total Pages : 464 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis A Beautiful Mind by : Sylvia Nasar

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.

The Essential John Nash

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Publisher : Princeton University Press
ISBN 13 : 140088408X
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Essential John Nash by : John Nash

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.

Essays on Game Theory

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Publisher : Edward Elgar Publishing
ISBN 13 : 9781781956298
Total Pages : 116 pages
Book Rating : 4.9/5 (562 download)

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Book Synopsis Essays on Game Theory by : The late John F. Nash

Download or read book Essays on Game Theory written by The late John F. Nash and published by Edward Elgar Publishing. This book was released on 1996-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This short volume is very welcome . . . Most importantly, on pages 32-33, the volume reprints as an appendix to the journal article based on Nash's Princeton doctoral dissertation on non-cooperative games a section of the thesis on "motivation and interpretation" that was omitted from the article. An editorial note remarks mildly that "The missing section is of considerable interest". This section, not available in any other published source, makes the present volume indispensable for research libraries . . . Nash's Essays on Game Theory, dating from his years as a Princeton graduate student . . . has a lasting impact on economics and related fields unmatched by any series of articles written in such a brief time . . . To economists, his name will always bring to mind his game theory papers of the early 1950s. It is good to have these conveniently reprinted in this volume.' - Robert W. Dimand, The Economic Journal 'The news that John Nash was to share the 1994 Nobel Prize for Economics with John Harsanyi and Reinhard Selten was doubly welcome. It signalled not only that the brilliant achievements of his youth were to be recognized in a manner consistent with their significance, but that the long illness that clouded his later years had fallen into remission. I hope that this collection of his economic papers will serve as another reminder that John Nash has rejoined the intellectual community to which he has contributed so much.' - From the introduction by Ken Binmore Essays on Game Theory is a unique collection of seven of John Nash's essays which highlight his pioneering contribution to game theory in economics. Featuring a comprehensive introduction by Ken Binmore which explains and summarizes John Nash's achievements in the field of non-cooperative and cooperative game theory, this book will be an indispensable reference for scholars and will be welcomed by those with an interest in game theory and its applications to the social sciences.

Arc Schemes And Singularities

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Publisher : World Scientific
ISBN 13 : 1786347210
Total Pages : 312 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Arc Schemes And Singularities by : David Bourqui

Download or read book Arc Schemes And Singularities written by David Bourqui and published by World Scientific. This book was released on 2020-03-05 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme.Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.

A Beautiful Mind

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Publisher : Simon and Schuster
ISBN 13 : 1439126496
Total Pages : 464 pages
Book Rating : 4.4/5 (391 download)

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Book Synopsis A Beautiful Mind by : Sylvia Nasar

Download or read book A Beautiful Mind written by Sylvia Nasar and published by Simon and Schuster. This book was released on 2011-07-12 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: **Also an Academy Award–winning film starring Russell Crowe and Jennifer Connelly—directed by Ron Howard** The powerful, dramatic biography of math genius John Nash, who overcame serious mental illness and schizophrenia to win the Nobel Prize. “How could you, a mathematician, believe that extraterrestrials were sending you messages?” the visitor from Harvard asked the West Virginian with the movie-star looks and Olympian manner. “Because the ideas I had about supernatural beings came to me the same way my mathematical ideas did,” came the answer. “So I took them seriously.” Thus begins the true story of John Nash, the mathematical genius who was a legend by age thirty when he slipped into madness, and who—thanks to the selflessness of a beautiful woman and the loyalty of the mathematics community—emerged after decades of ghostlike existence to win a Nobel Prize for triggering the game theory revolution. The inspiration for an Academy Award–winning movie, Sylvia Nasar’s now-classic biography is a drama about the mystery of the human mind, triumph over adversity, and the healing power of love.

The Grand Canyon: Unseen Beauty

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Publisher : Rizzoli Publications
ISBN 13 : 0789341115
Total Pages : 0 pages
Book Rating : 4.7/5 (893 download)

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Book Synopsis The Grand Canyon: Unseen Beauty by : Thomas Blagden Jr.

Download or read book The Grand Canyon: Unseen Beauty written by Thomas Blagden Jr. and published by Rizzoli Publications. This book was released on 2021-10-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majesty of the Grand Canyon is celebrated from the Colorado River as it continues to carve America's natural wonder from a mile below the rim. As one of the Wonders of the World and the most iconic national park in America, the Grand Canyon enthralls six million visitors each year. Only a small fraction of those people, however, have the privilege of experiencing the canyon by rafting down the Colorado River. The Grand Canyon captures and evokes the power of that journey from the drama of the rapids and the immeasurable scale of the canyon walls to the subtle rock patterns and varied life forms. What started as an exceptional opportunity for Tom Blagden to raft through The Canyon in 2006 with Rod Nash at the oars has evolved into a passionate photographic pursuit that still continues. The route--the River--is the same every time but the experience constantly variable and deeply profound. Rafters never tire of it and, if anything, feel more in awe of the Canyon's magnificence with each trip. Tom Blagden's images and Rod Nash's essay reveal the canyon from a different perspective portraying what it's like to be on the river and immersed a mile deep, surrounded by rock almost half the age of the earth. On the centennial of Grand Canyon National Park it seems only fitting that we journey together to this unique place through the pages of this astonishing book. The book weaves a wondrous adventure that will bring readers along on a journey while raising questions about the significance of a national park and an iconic American river and how to sustain them for generations to follow.

Mathematics and Culture I

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540017707
Total Pages : 372 pages
Book Rating : 4.0/5 (177 download)

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Book Synopsis Mathematics and Culture I by : Michele Emmer

Download or read book Mathematics and Culture I written by Michele Emmer and published by Springer Science & Business Media. This book was released on 2003-12-02 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating and insightful collection of papers on the strong links between mathematics and culture. The contributions range from cinema and theatre directors to musicians, architects, historians, physicians, graphic designers and writers. The text highlights the cultural and formative character of mathematics, its educational value, and imaginative dimension. These articles are highly interesting, sometimes amusing, and make excellent starting points for researching the strong connection between scientific and literary culture.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 1139499793
Total Pages : 347 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 by : Raf Cluckers

Download or read book Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 written by Raf Cluckers and published by Cambridge University Press. This book was released on 2011-09-22 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.

Model Theory, Algebra, and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521780681
Total Pages : 244 pages
Book Rating : 4.7/5 (86 download)

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Book Synopsis Model Theory, Algebra, and Geometry by : Deirdre Haskell

Download or read book Model Theory, Algebra, and Geometry written by Deirdre Haskell and published by Cambridge University Press. This book was released on 2000-07-03 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Atlantic High

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Publisher : Rowman & Littlefield
ISBN 13 : 1493079204
Total Pages : 283 pages
Book Rating : 4.4/5 (93 download)

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Book Synopsis Atlantic High by : William F. Buckley Jr.

Download or read book Atlantic High written by William F. Buckley Jr. and published by Rowman & Littlefield. This book was released on 2023-08-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1980, Buckley gathered together his friends and set out to sail across the Atlantic. This is what he correctly describes as a “celebration” of that thirty-day event. Here are the calms and the storms, the melodrama and the rumination, the wine and the song, the navigation and the introspection that in Buckley’s distinctive blend capture the imagination of sailors and non-sailors, amuse the lighthearted and the dour, and engross the reader who wishes he were aboard, as also the reader who thanks heaven that he is not.

Evolutionary Dynamics

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Publisher : Harvard University Press
ISBN 13 : 0674417755
Total Pages : 390 pages
Book Rating : 4.6/5 (744 download)

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Book Synopsis Evolutionary Dynamics by : Martin A. Nowak

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 390 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.

The Abel Prize 2013-2017

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Publisher : Springer
ISBN 13 : 3319990284
Total Pages : 774 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Abel Prize 2013-2017 by : Helge Holden

Download or read book The Abel Prize 2013-2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Men of Mathematics

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Publisher : Simon and Schuster
ISBN 13 : 1476784256
Total Pages : 608 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis Men of Mathematics by : E.T. Bell

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.

Motivic Integration

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Publisher : Springer
ISBN 13 : 149397887X
Total Pages : 526 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Motivic Integration by : Antoine Chambert-Loir

Download or read book Motivic Integration written by Antoine Chambert-Loir and published by Springer. This book was released on 2018-09-15 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.

Hawaii's Story

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Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Hawaii's Story by : Liliuokalani (Queen of Hawaii)

Download or read book Hawaii's Story written by Liliuokalani (Queen of Hawaii) and published by . This book was released on 1898 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: