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Stephen Smale The Mathematician Who Broke The Dimension Barrier
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Book Synopsis Stephen Smale: The Mathematician Who Broke the Dimension Barrier by : Steve Batterson
Download or read book Stephen Smale: The Mathematician Who Broke the Dimension Barrier written by Steve Batterson and published by American Mathematical Soc.. This book was released on 2012-12-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stephen Smale - Reaching Higher Dimensions by : Steve Batterson
Download or read book Stephen Smale - Reaching Higher Dimensions written by Steve Batterson and published by City University of HK Press. This book was released on 2024-07-17 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Stephen Smale Papers by : Stephen Smale
Download or read book Stephen Smale Papers written by Stephen Smale and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection includes materials relating to Smale's career in mathematics as well as to his involvement in the anti-war and free speech movements. Among those materials documenting Smale's academic career are correspondence relating to his own work as well as the work of the UC Berkeley math department, reprints and notes, lecture and seminar notes and materials, clippings, and a large banner for the Marker Lectures (Theory of Computation) at the University of Seoul. Among the materials documenting Smale's involvement in the anti-war and other protest movements include files on the Vietnam Day Committee at UC Berkeley; files, a map, and a scrapbook on the troop train protests; files on Smale's trip to Moscow and the reaction it produced; files on the Smale Case, including correspondence with the National Science Foundation as well as press coverage of the affair; manuscript drafts of Smale's memoir Days of Protest; and a few photographs of Smale, one of which shows Smale speaking in front of a banner for Mathematicians Against War and Racism.
Book Synopsis The Prosecution of Professor Chandler Davis by : Steve Batterson
Download or read book The Prosecution of Professor Chandler Davis written by Steve Batterson and published by NYU Press. This book was released on 2023-08-08 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exposes the destruction of academic careers—and the complicity of educational institutions—in McCarthy's America The Prosecution of Professor Chandler Davis tells the true tale of a mathematician who found himself taking an involuntary break from chalking equations to sit opposite a row of self-righteous anti-Communist congressmen at the height of the McCarthy era. Courageously asserting the First Amendment to confront a system rapidly descending into fascism, Davis testified before the House Un-American Activities Committee (HUAC). He became one of a small number of left wingers who served time for contempt of Congress. In this fascinating and disturbing narrative, author Steve Batterson takes a deep dive into extant archival records generated by the FBI, HUAC, the University of Michigan, and repositories holding the papers of former Supreme Court justices. He examines the plights of six faculty and graduate students—including three future members of the National Academy of Sciences—whose careers were disrupted by the anticommunist actions of a wide range of personnel at the University of Michigan. He focuses on the seemingly conflicting Supreme Court decisions on labor leader John Watkins and Vassar College Psychology instructor Lloyd Barenblatt. And he examines the role played in the trial by Felix Frankfurter, a longtime Associate Justice on the Supreme Court, close advisor of Franklin D. Roosevelt, and co-founder of the ACLU. In the process, Batterson exposes the ways that McCarthy’s righteous emissaries relied on all kinds of institutions in 1950s America—from Hollywood studios to universities—to sabotage the careers of anyone with a trace of “Red.”
Download or read book Chaos written by Richard Kautz and published by OUP Oxford. This book was released on 2010-11-04 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on only elementary mathematics, this engaging account of chaos theory bridges the gap between introductions for the layman and college-level texts. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by many figures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory. To ensure accessibility to motivated high school students, care has been taken to explain advanced mathematical concepts simply, including exponentials and logarithms, probability, correlation, frequency analysis, fractals, and transfinite numbers. These tools help to resolve the intriguing paradox of motion that is predictable and yet random, while the final chapter explores the various ways chaos theory has been put to practical use.
Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Book Synopsis Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday by : Christophe Letellier
Download or read book Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday written by Christophe Letellier and published by World Scientific. This book was released on 2013-01-11 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included.The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical — not necessarily widely known — contributions (about the different types of chaos introduced by Rössler and not just the “Rössler attractor”; Gumowski and Mira's contributions in electronics; Poincaré's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.
Book Synopsis Growing Explanations by : M. Norton Wise
Download or read book Growing Explanations written by M. Norton Wise and published by Duke University Press. This book was released on 2004-11-24 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: For much of the twentieth century scientists sought to explain objects and processes by reducing them to their components—nuclei into protons and neutrons, proteins into amino acids, and so on—but over the past forty years there has been a marked turn toward explaining phenomena by building them up rather than breaking them down. This collection reflects on the history and significance of this turn toward “growing explanations” from the bottom up. The essays show how this strategy—based on a widespread appreciation for complexity even in apparently simple processes and on the capacity of computers to simulate such complexity—has played out in a broad array of sciences. They describe how scientists are reordering knowledge to emphasize growth, change, and contingency and, in so doing, are revealing even phenomena long considered elementary—like particles and genes—as emergent properties of dynamic processes. Written by leading historians and philosophers of science, these essays examine the range of subjects, people, and goals involved in changing the character of scientific analysis over the last several decades. They highlight the alternatives that fields as diverse as string theory, fuzzy logic, artificial life, and immunology bring to the forms of explanation that have traditionally defined scientific modernity. A number of the essays deal with the mathematical and physical sciences, addressing concerns with hybridity and the materials of the everyday world. Other essays focus on the life sciences, where questions such as “What is life?” and “What is an organism?” are undergoing radical re-evaluation. Together these essays mark the contours of an ongoing revolution in scientific explanation. Contributors. David Aubin, Amy Dahan Dalmedico, Richard Doyle, Claus Emmeche, Peter Galison, Stefan Helmreich, Ann Johnson, Evelyn Fox Keller, Ilana Löwy, Claude Rosental, Alfred Tauber
Book Synopsis A History of Mathematics by : Luke Hodgkin
Download or read book A History of Mathematics written by Luke Hodgkin and published by OUP Oxford. This book was released on 2013-02-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.
Book Synopsis A History of Mathematics in the United States and Canada: Volume 1: 1492–1900 by : David E. Zitarelli
Download or read book A History of Mathematics in the United States and Canada: Volume 1: 1492–1900 written by David E. Zitarelli and published by American Mathematical Soc.. This book was released on 2019-10-21 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli is emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he is one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this is his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.
Book Synopsis A History of Mathematics in the United States and Canada by : David E. Zitarelli
Download or read book A History of Mathematics in the United States and Canada written by David E. Zitarelli and published by American Mathematical Society. This book was released on 2022-10-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.
Book Synopsis Mathematical Masterpieces by : Art Knoebel
Download or read book Mathematical Masterpieces written by Art Knoebel and published by Springer Science & Business Media. This book was released on 2007-08-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.
Book Synopsis The Visual Mind II by : Michele Emmer
Download or read book The Visual Mind II written by Michele Emmer and published by MIT Press. This book was released on 2005 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This collection of essays by artists and mathematicians continues the discussion of the connections between art and mathematics begun in the widely read first volume of The Visual Mind in 1993."--BOOK JACKET.
Book Synopsis Women Scientists in America by : Margaret W. Rossiter
Download or read book Women Scientists in America written by Margaret W. Rossiter and published by JHU Press. This book was released on 2012-02-21 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume of Margaret W. Rossiter’s landmark survey of the history of American women scientists focuses on their pioneering efforts and contributions from 1972 to the present. Central to this story are the struggles and successes of women scientists in the era of affirmative action. Scores of previously isolated women scientists were suddenly energized to do things they had rarely, if ever, done before—form organizations and recruit new members, start rosters and projects, put out newsletters, confront authorities, and even fight (and win) lawsuits. Rossiter follows the major activities of these groups in several fields—from engineering to the physical, biological, and social sciences—and their campaigns to raise consciousness, see legislation enforced, lobby for passage of the Equal Rights Amendment, and serve as watchdogs of the media. This comprehensive volume also covers the changing employment circumstances in the federal government, academia, industry, and the nonprofit sector and discusses contemporary battles to increase the number of women members of the National Academy of Science and women presidents of scientific societies. In writing this book, Rossiter mined nearly one hundred previously unexamined archival collections and more than fifty oral histories. With the thoroughness and resourcefulness that characterize the earlier volumes, she recounts the rich history of the courageous and resolute women determined to realize their scientific ambitions.
Book Synopsis King of Infinite Space by : Siobhan Roberts
Download or read book King of Infinite Space written by Siobhan Roberts and published by Bloomsbury Publishing USA. This book was released on 2009-05-26 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." -Brian Greene, author of The Elegant Universe The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives-from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century. Many of the greatest names in intellectual history-Pythagoras, Plato, Archimedes, Euclid- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions-his famed Coxeter groups and Coxeter diagrams-have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational. Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.
Book Synopsis The Man Who Saved Geometry by : Siobhan Roberts
Download or read book The Man Who Saved Geometry written by Siobhan Roberts and published by Princeton University Press. This book was released on 2024-10-29 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illuminating biography of one of the greatest geometers of the twentieth century Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter’s life and work, placing him alongside history’s greatest geometers, from Pythagoras and Plato to Archimedes and Euclid—and it reveals how Coxeter’s boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.
Book Synopsis The Lost Promise by : Ellen Schrecker
Download or read book The Lost Promise written by Ellen Schrecker and published by University of Chicago Press. This book was released on 2021-12-17 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Ellen Schrecker shows how universities shaped the 1960s, and how the 1960s shaped them. Teach-ins and walkouts-in institutions large and small, across both the country and the political spectrum-were only the first actions that came to redefine universities as hotbeds of unrest for some and handmaidens of oppression for others. The tensions among speech, education, and institutional funding came into focus as never before-and the reverberations remain palpable today"--
