Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematics / Edition 1

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"Casti is one of the great science writers." -San Francisco Examiner
"Casti's gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." -Christian Science Monitor Following up the acclaimed Five Golden Rules, another quintet of gleaming math discoveries With Five More Golden Rules, readers are treated to another fascinating set of theoretical gems from acclaimed popular science author John Casti. Injecting all-new ingredients into his trademark recipe of real-world examples, historical anecdotes, and straightforward explanations, Casti once again brings math to thrilling life. All who enjoyed the unique pleasures of the original will love this follow-up survey highlighting the creme de la creme of math in the last century.
Explores how knot theory informs the classic tale of Alexander the Great and the Gordian Knot
* Considers how the Shannon Coding Theory applies to decoding the human genome John L. Casti, PhD (Santa Fe, NM), a resident member of the Santa Fe Institute, is a professor at the Technical University of Vienna and the author of Would-Be Worlds (Wiley) and Cambridge Quintet.

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Editorial Reviews

Times Higher
I would encourage anyone who would like to discover, or rediscover, the many delights of modern mathematics to read both this book and its predecessor. Jencks' book is full of enjoyable insights and some impressive eccentricities...
Publishers Weekly - Publisher's Weekly
The success of Paradigms Lost, Casti's 1989 survey of science's most compelling questions, made this successor and its title nearly inevitable. Unfortunately, the new book fails both as a complement and as a contrast to the earlier work. Like its predecessor, it transforms multifaceted scientific inquiry into the motif of an adversarial courtroom battle--a device that, though useful for framing the discussion and possessed of some entertainment value, inevitably produces a distorted picture of the evolution of scientific thought. Scientific progress is continually punctuated by breakthroughs that vault new areas of inquiry into the foreground and relegate others to the background realm of apparently resolved questions. Because of these shifts in scientific thought, not all the topics important in 1989 merit the same level of attention in 2000--and yet Casti insists on revisiting them. As a result, although he devotes a dull chapter to recapitulating old arguments about artificial intelligence, for example, he admits in those pages that "nothing of eyebrow-raising substance has really changed in the AI debate since the mid-1980s." The book's strongest chapter is its last, which discusses the peculiarities of the quantum mechanical world. Casti's fascinating discussion of new insights into the wave-particle duality of matter and energy might make readers wish he had written a book about new paradigms for a new millennium instead of this sometimes contrived and oft-contorted sequel. Illustrations. (Mar.) FYI: Also in March, Wiley will release the second volume of Casti's survey of math in the last century, Five More Golden Rules: Gordian Knots, Secret Codes, and the Importance of Being Nonlinear--More Great Theories of 20th-Century Mathematics, with illustrations ($27.95 256p ISBN 0-471-32233-4). Copyright 2000 Cahners Business Information.|
Science author John Casti offers an exposition of the origins of five additional interesting modern mathematical theories, with insight on how these discoveries have shaped our lives. As with the first volume, no more background is required than high school math classes. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780471395287
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 1/22/2001
  • Edition number: 1
  • Pages: 272
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.58 (d)

Meet the Author

JOHN L. CASTI, Ph.D., is a professor at the Santa Fe Institute and the Technical University of Vienna and the author of Would-Be Worlds and Five Golden Rules (both published by Wiley) as well as The Cambridge Quintet.

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Table of Contents

The Alexander Polynomial: Knot Theory.

The Hopf Bifurcation Theorem: Dynamical System Theory.

The Kalman Filter: Control Theory.

The Hahn-Banach Theorem: Functional Analysis.

The Shannon Coding Theorem: Information Theory.



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