Chaos: The Science of Predictable Random Motion

Paperback | December 11, 2010

byRichard Kautz

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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 concludeswith 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 tomotivated 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 ispredictable and yet random, while the final chapter explores the various ways chaos theory has been put to practical use.

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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 concludeswith a close look at a homoclinic tangle, the...

Richard Kautz is an engineer and physicist who holds a doctorate from the Massachusetts Institute of Technology. During his career at the National Institute of Standards and Technology, he helped develop fundamental quantum standards for both voltage and capacitance. Kautz is a Fellow of the American Physical Society and a recipient o...

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$9.29 online$12.00list price(save 22%)
Format:PaperbackDimensions:384 pages, 9.69 × 7.44 × 0.68 inPublished:December 11, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199594589

ISBN - 13:9780199594580

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Extra Content

Table of Contents

1. Chaos Everywhere2. Galileo Galilei --- Birth of a New Science3. Isaac Newton --- Dynamics Perfected4. Celestial Mechanics --- Clockwork Universe5. Pendulum --- Linear and Nonlinear6. Josephson Effect --- Synchronization7. Chaos Forgets the Past8. Chaos Takes a Random Walk9. Chaos Makes Noise10. Edward Lorenz --- Butterfly Effect11. Chaos Comes of Age12. Tilt-A-Whirl --- Chaos at the Amusement Park13. Billiard-Ball Chaos --- Atomic Disorder14. Iterated Maps --- Chaos Made Simple15. State Space --- Going with the Flow16. Strange Attractor17. Fractal Geometry18. Stephen Smale --- Horseshoe Map19. Henri Poincare --- Topological Tangle20. Chaos Goes to Work

Editorial Reviews

"Kautz's Chaos provides a lively and clear introduction to many aspects of nonlinear dynamics, weaving together tales about the pendulum, Josephson junctions, the quincunx, the first four notes of Beethoven's 5th Symphony, the tilt-a-whirl and homoclinic tangles, using just algebra, geometryand trigonometry." --Robert Hilborn, University of Texas at Dallas