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Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematicsby John L Casti
Synopses & Reviews
THE HISTORY AND THE MEANING BEHIND THE GREAT THEORIES OF 20TH-CENTURY MATHEMATICS
"Further elucidates the power of mathematics to influence concepts outside the standard realm of numbers."-Science News on Five More Golden Rules
In this follow-up to his critically acclaimed book, Five Golden Rules, John Casti reveals the remarkable origins of some of the most monumental mathematical discoveries of the last century-and sheds light on how these revolutionary ideas have shaped our lives. Using a diverse and entertaining range of sources to explain the five world-changing theories he discusses, Casti probes the engrossing and seldom heard tales that lie behind the breakthroughs-and finds exhilarating power and beauty in even the most intimidating theories. Fascinating, informative, and fun, Five More Golden Rules will forever change the way you think about mathematics.
PRAISE FOR FIVE GOLDEN RULES
"Caviar for the inquiring reader....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
"If you'd like to have fun while giving your brain a first-class workout, then check this book out."-San Francisco Examiner
"This book has meat! It is solid fare, food for thought....Casti's Five Golden Rules makes math less forbidding and much more interesting."-Hartford Courant
A follow-up to the critically acclaimed and strong-selling Five Golden Rules, this book introduces five more of the greatest mathematical theorems discovered in the 20"th" century.
Brings the understanding and excitement of mathematical theories to a non-mathematical reader.
"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.
About 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.
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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