From Topology to Computation: Proceedings of the Smalefest
From Topology to Computation: Proceedings of the Smalefest

Author: Morris W. Hirsch

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 620

ISBN-13: 1461227402

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An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.

The Collected Papers of Stephen Smale
The Collected Papers of Stephen Smale

Author: Stephen Smale

Publisher: World Scientific

Published: 2000

Total Pages: 532

ISBN-13: 9789810249915

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This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

From Topology to Computation: Proceedings of the Smalefest
From Topology to Computation: Proceedings of the Smalefest

Author: Morris W. Hirsch

Publisher: Springer

Published: 1993-06-24

Total Pages: 605

ISBN-13: 9780387979328

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An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.

Stephen Smale - Reaching Higher Dimensions
Stephen Smale - Reaching Higher Dimensions

Author: Steve Batterson

Publisher: City University of HK Press

Published: 2024-07-17

Total Pages: 594

ISBN-13: 9629376903

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In 2000, the American Mathematical Society published a biography of Professor Stephen Smale, who had recently retired from a prestigious career at the University of California, Berkeley. But in retirement, Professor Smale has continued his academic pursuits through the present day, resulting in numerous additional publications and honors in the past 20+ years. As part of the CityU Legacy Series, this book documents Professor Smale's time at City University of Hong Kong, during his first appointment as a Distinguished University Professor in the Department of Mathematics from 1995-2001 as well as when he returned from 2009-2016. It also covers colorful and adventurous aspects of his life, including his impressive mineral collection and intrepid sailing and hiking trips to exotic locales. So that readers can experience the full extent of Professor Smale's notable life and work, the previous biography about him is included to provide a complete picture of this renowned scholar of international influence. "A fascinating and inspiring story of how Steve Smale, a bright yet seemingly unexceptional country boy ... became one of the most brilliant and in influential mathematicians on the planet." Lenore Blum Distinguished Career Professor of Computer Science, Emerita Carnegie Mellon University "I first met Steve during a visit to Berkeley … I did not foresee that the visit would mark the beginning of a long-lasting relationship including, but going well beyond, mathematical collaboration." Felipe Cucker Emeritus Professor, Department of Mathematics City University of Hong Kong

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1
Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1

Author: Roderick S C Wong

Publisher: World Scientific

Published: 2000-06-30

Total Pages: 524

ISBN-13: 9814493058

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This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 3
Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 3

Author: Roderick S C Wong

Publisher: World Scientific

Published: 2000-06-30

Total Pages: 659

ISBN-13: 9814493074

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This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Random Polynomials
Random Polynomials

Author: A. T. Bharucha-Reid

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 223

ISBN-13: 148319146X

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Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Random Polynomials focuses on a comprehensive treatment of random algebraic, orthogonal, and trigonometric polynomials. The publication first offers information on the basic definitions and properties of random algebraic polynomials and random matrices. Discussions focus on Newton's formula for random algebraic polynomials, random characteristic polynomials, measurability of the zeros of a random algebraic polynomial, and random power series and random algebraic polynomials. The text then elaborates on the number and expected number of real zeros of random algebraic polynomials; number and expected number of real zeros of other random polynomials; and variance of the number of real zeros of random algebraic polynomials. Topics include the expected number of real zeros of random orthogonal polynomials and the number and expected number of real zeros of trigonometric polynomials. The book takes a look at convergence and limit theorems for random polynomials and distribution of the zeros of random algebraic polynomials, including limit theorems for random algebraic polynomials and random companion matrices and distribution of the zeros of random algebraic polynomials. The publication is a dependable reference for probabilists, statisticians, physicists, engineers, and economists.

Stephen Smale: The Mathematician Who Broke the Dimension Barrier
Stephen Smale: The Mathematician Who Broke the Dimension Barrier

Author: Steve Batterson

Publisher: American Mathematical Soc.

Published: 2012-12-30

Total Pages: 338

ISBN-13: 0821826964

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In 1957 Stephen Smale startled the mathematical world by showing that it is possible to turn a sphere inside out without cutting, tearing, or crimping. A few years later, from the beaches of Rio, he introduced the horseshoe map, demonstrating that simple functions could have chaotic dynamics. Despite his diverse accomplishments, Smales name is virtually unknown outside mathematics. One of the objectives of this book is to bring the life and work of this significant figure in intellectual history to the attention of a larger community.

Recent Advances in Real Complexity and Computation
Recent Advances in Real Complexity and Computation

Author: Luis M. Pardo

Publisher: American Mathematical Soc.

Published: 2014-11-12

Total Pages: 202

ISBN-13: 0821891502

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This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.