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Five Golden Rules : Great Theories of 20th-Century Mathematics -and Why They Matter
 
 
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Five Golden Rules : Great Theories of 20th-Century Mathematics -and Why They Matter (Paperback)

by John Casti (Author) "In everyday conversation, a "game" is often thought of as a mere pastime for schoolchildren, a way to spend their day avoiding homework and piano..." (more)
Key Phrases: optimal mixed strategy, ranking vector, optimal mixed strategies, Morse's Theorem, Minimax Theorem, Busy Beaver (more...)
4.0 out of 5 stars  (15 customer reviews)

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Editorial Reviews
Amazon.com
What do mathematicians do all day, and why in the world should we care? Science writer John L. Casti approaches these questions with characteristic flair in Five Golden Rules, a short work explaining five important 20th-century mathematical theories and their importance in our daily lives. The reader is left with a new appreciation for the men and women who are paid to do little but think and convince their peers that their thoughts are important. Von Neumann's minimax theorem, crucial for modern economics and military strategy, is first up, and Casti expresses its simple elegance in terms that even those with the rustiest high school math can handle. Four other theories, covering topology, computing, optimization, and singularities, get their turn, and each is a work of beauty much like the greatest poems or paintings of our time. Some of the practical applications are surprising (who knew that geometrical analysis can tell us if a joke will be funny?) but more surprising still is our general ignorance of the role math plays in our lives. Though the material gets more involved as the book progresses, elementary algebra and geometry, coupled with a willingness to work things out before proceeding, will suffice for most readers. Casti has once again gifted us with a clear, penetrating book covering a subject still largely uncovered. Five Golden Rules will make math real even to the most hardened number-phobe. --Rob Lightner --This text refers to an out of print or unavailable edition of this title.

From Library Journal
Most people have a very poor idea of what mathematicians do, since in school they are exposed only to centuries-old material. Casti (Complexification, HarperCollins, 1994) has written an excellent exposition of five of the most interesting mathematical theories of the 20th century that are still undergoing significant study. He discusses the mathematicians who discovered each theorem and explains how these theories are applied to real problems. This work is not for everyone; it is aimed at the nonmathematician willing to invest some time and effort to learn about modern mathematics. The serious reader will find it worth the effort; the chapter on "Theory of Communication" is in itself sufficient to recommend the purchase of the book.?Harold D. Shane, Baruch Coll., CUNY
Copyright 1995 Reed Business Information, Inc. --This text refers to an out of print or unavailable edition of this title.

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Product Details
  • Paperback: 235 pages
  • Publisher: Wiley (September 1997)
  • Language: English
  • ISBN-10: 0471193372
  • ISBN-13: 978-0471193371
  • Product Dimensions: 9.1 x 6.1 x 0.7 inches
  • Shipping Weight: 11.4 ounces (View shipping rates and policies)
  • Average Customer Review: