Chaos
The Science of Predictable Random Motion
(Sprache: Englisch)
An exploration of chaos: motion that is paradoxically predictable yet random, aided by elementary mathematics, numerous figures, and computer animations (available on a companion CD). The history, mechanism, and practical consequences of this fascinating...
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Produktinformationen zu „Chaos “
An exploration of chaos: motion that is paradoxically predictable yet random, aided by elementary mathematics, numerous figures, and computer animations (available on a companion CD). The history, mechanism, and practical consequences of this fascinating phenomenon are explained in terms accessible to a motivated high school student.
Klappentext zu „Chaos “
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.
Inhaltsverzeichnis zu „Chaos “
- 1: Chaos Everywhere
- 2: Galileo Galilei --- Birth of a New Science
- 3: Isaac Newton --- Dynamics Perfected
- 4: Celestial Mechanics --- Clockwork Universe
- 5: Pendulum --- Linear and Nonlinear
- 6: Josephson Effect --- Synchronization
- 7: Chaos Forgets the Past
- 8: Chaos Takes a Random Walk
- 9: Chaos Makes Noise
- 10: Edward Lorenz --- Butterfly Effect
- 11: Chaos Comes of Age
- 12: Tilt-A-Whirl --- Chaos at the Amusement Park
- 13: Billiard-Ball Chaos --- Atomic Disorder
- 14: Iterated Maps --- Chaos Made Simple
- 15: State Space --- Going with the Flow
- 16: Strange Attractor
- 17: Fractal Geometry
- 18: Stephen Smale --- Horseshoe Map
- 19: Henri Poincaré --- Topological Tangle
- 20: Chaos Goes to Work
Autoren-Porträt von Richard Kautz
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 of the Samuel Stratton Award for measurement science and the Edward Condon Award for scientific writing.Bibliographische Angaben
- Autor: Richard Kautz
- 2010, 384 Seiten, 168 Schwarz-Weiß-Abbildungen, Maße: 19 x 24,6 cm, Kartoniert (TB), Englisch
- Verlag: Oxford University Press
- ISBN-10: 0199594589
- ISBN-13: 9780199594580
- Erscheinungsdatum: 11.11.2010
Sprache:
Englisch
Rezension zu „Chaos “
Dr. Kautz has written a book that captures the essentials of chaos in a quantitative way but without advanced mathematics. It is highly recommended for students and others with a good background in algebra and trigonometry and with a desire for a better understanding of the concepts of chaos. |s Julien Clinton Sprott, University of Wisconsin - Madison
Pressezitat
Kautz's [Chaos] functions at the level of Ruelle's [Chance and Chaos] but is more focused and compete. It brings a thorough and fresh approach to the task. The writing is lucid and very engaging ... and the illustrations are uniformly excellent. James Blackburn, American Journal of Physics
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