A Celebration Of John F Nash Jr

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A Celebration of John F. Nash Jr.

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 This book, also published as volume 81 of the Duke Mathematical Journal, includes an important, but previously unpublished paper by Nash; the proceedings of the Nobel seminar held in Stockholm on December 8, 1994 in his honor; and papers by distinguished mathematicians and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

The Essential John Nash

Author : John Nash
Publisher : Princeton University Press
ISBN 13 : 140088408X
Total Pages : 273 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 273 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.

Open Problems in Mathematics

Author : John Forbes Nash, Jr.
Publisher : Springer
ISBN 13 : 9783319812106
Total Pages : 543 pages
Book Rating : 4.8/5 (121 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 2018-05-31 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.

Essays on Game Theory

Author : The late John F. Nash
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.

Hawaii's Story

Author : Liliuokalani (Queen of Hawaii)
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:

The Abel Prize 2013-2017

Author : Helge Holden
Publisher : Springer
ISBN 13 : 3319990284
Total Pages : 762 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 762 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.

Mathematicians of the World, Unite!

Author : Guillermo Curbera
Publisher : CRC Press
ISBN 13 : 1439865124
Total Pages : 336 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematicians of the World, Unite! by : Guillermo Curbera

Download or read book Mathematicians of the World, Unite! written by Guillermo Curbera and published by CRC Press. This book was released on 2009-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int

His Truth Is Marching On

Author : Jon Meacham
Publisher : Random House
ISBN 13 : 1984855034
Total Pages : 369 pages
Book Rating : 4.9/5 (848 download)

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Book Synopsis His Truth Is Marching On by : Jon Meacham

Download or read book His Truth Is Marching On written by Jon Meacham and published by Random House. This book was released on 2020-08-25 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 NEW YORK TIMES BESTSELLER • An intimate and revealing portrait of civil rights icon and longtime U.S. congressman John Lewis, linking his life to the painful quest for justice in America from the 1950s to the present—from the Pulitzer Prize–winning author of The Soul of America “An extraordinary man who deserves our everlasting admiration and gratitude.”—The Washington Post ONE OF THE WASHINGTON POST AND COSMOPOLITAN’S BEST BOOKS OF THE YEAR John Lewis, who at age twenty-five marched in Selma, Alabama, and was beaten on the Edmund Pettus Bridge, was a visionary and a man of faith. Drawing on decades of wide-ranging interviews with Lewis, Jon Meacham writes of how this great-grandson of a slave and son of an Alabama tenant farmer was inspired by the Bible and his teachers in nonviolence, Reverend James Lawson and Martin Luther King, Jr., to put his life on the line in the service of what Abraham Lincoln called “the better angels of our nature.” From an early age, Lewis learned that nonviolence was not only a tactic but a philosophy, a biblical imperative, and a transforming reality. At the age of four, Lewis, ambitious to become a minister, practiced by preaching to his family’s chickens. When his mother cooked one of the chickens, the boy refused to eat it—his first act, he wryly recalled, of nonviolent protest. Integral to Lewis’s commitment to bettering the nation was his faith in humanity and in God—and an unshakable belief in the power of hope. Meacham calls Lewis “as important to the founding of a modern and multiethnic twentieth- and twenty-first-century America as Thomas Jefferson and James Madison and Samuel Adams were to the initial creation of the Republic itself in the eighteenth century.” A believer in the injunction that one should love one's neighbor as oneself, Lewis was arguably a saint in our time, risking limb and life to bear witness for the powerless in the face of the powerful. In many ways he brought a still-evolving nation closer to realizing its ideals, and his story offers inspiration and illumination for Americans today who are working for social and political change.

Prominent Families of New York

Author : Lyman Horace Weeks
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Prominent Families of New York by : Lyman Horace Weeks

Download or read book Prominent Families of New York written by Lyman Horace Weeks and published by . This book was released on 1898 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Men of Mathematics

Author : E.T. Bell
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.

Geometry of Submanifolds

Author : Bang-Yen Chen
Publisher : Courier Dover Publications
ISBN 13 : 0486832783
Total Pages : 193 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Geometry of Submanifolds by : Bang-Yen Chen

Download or read book Geometry of Submanifolds written by Bang-Yen Chen and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.

Evolutionary Dynamics

Author : Martin A. Nowak
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.

Model Theory, Algebra, and Geometry

Author : Deirdre Haskell
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: Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.

The Unmaking of a Mayor

Author : William F. Buckley Jr.
Publisher : Encounter Books
ISBN 13 : 1594038481
Total Pages : 496 pages
Book Rating : 4.5/5 (94 download)

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Book Synopsis The Unmaking of a Mayor by : William F. Buckley Jr.

Download or read book The Unmaking of a Mayor written by William F. Buckley Jr. and published by Encounter Books. This book was released on 2015-10-13 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: John V. Lindsay was elected mayor of New York City in 1965. But that year’s mayoral campaign will forever be known as the Buckley campaign. “As a candidate,” Joseph Alsop conceded, “Buckley was cleverer and livelier than either of his rivals.” And Murray Kempton concluded that “The process which coarsens every other man who enters it has only refined Mr. Buckley.” The Unmaking of a Mayor is a time capsule of the political atmosphere of America in the spring of 1965, diagnosing the multitude of ills that plagued New York and other major cities: crime, narcotics, transportation, racial bias, mismanagement, taxes, and the problems of housing, police, and education. Buckley’s nimble dissection of these issues constitutes an excellent primer of conservative thought. A good pathologist, Buckley shows that the diseases afflicting New York City in 1965 were by no means of a unique strain, and compared them with issues that beset the country at large. Buckley offers a prescient vision of the Republican Party and America’s two-party system that will be of particular interest to today’s conservatives. The Unmaking of a Mayor ends with a wistful glance at what might have been in 1965—and what might yet be.

Arc Schemes And Singularities

Author : David Bourqui
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.

Motivic Integration

Author : Antoine Chambert-Loir
Publisher : Springer
ISBN 13 : 149397887X
Total Pages : 541 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 541 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.

Parabolic Equations with Irregular Data and Related Issues

Author : Claude Le Bris
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311063550X
Total Pages : 158 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Parabolic Equations with Irregular Data and Related Issues by : Claude Le Bris

Download or read book Parabolic Equations with Irregular Data and Related Issues written by Claude Le Bris and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.