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Chaos and Dynamical Systems (Primers in Complex Systems)
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Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview.
In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder.
Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.
- ISBN-100691161526
- ISBN-13978-0691161525
- PublisherPrinceton University Press
- Publication dateAugust 6, 2019
- LanguageEnglish
- Dimensions5.25 x 0.5 x 8.5 inches
- Print length264 pages
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Editorial Reviews
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"[A] gentle and loving introduction to dynamical systems. . . . Chaos and Dynamical Systems is a book for everyone from the layman to the expert."---David S. Mazel, MAA Reviews
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“With clear and explanatory prose and simple yet precisely constructed examples, this book conveys a deep understanding of chaos, bifurcations, and other core concepts of dynamical systems to a much larger audience than was previously possible. Feldman achieves this all without relying on a deep knowledge of math. An impressive balancing act, this is certainly a significant contribution to the field.”―Van Savage, University of California, Los Angeles
“Chaos and Dynamical Systems is a great introduction to nonlinear dynamics, bifurcations, and chaos. It is easy to follow and understand, yet also provides a generous amount of mathematical detail, which will satisfy technically oriented minds too. This book’s core take-home message, that simple mathematical systems can produce complex dynamics, has implications for many real-world complex systems.”―Hiroki Sayama, Binghamton University, State University of New York
About the Author
Product details
- Publisher : Princeton University Press (August 6, 2019)
- Language : English
- Paperback : 264 pages
- ISBN-10 : 0691161526
- ISBN-13 : 978-0691161525
- Item Weight : 13.1 ounces
- Dimensions : 5.25 x 0.5 x 8.5 inches
- Best Sellers Rank: #1,061,293 in Books (See Top 100 in Books)
- #104 in Chaos Theory
- #137 in Fractal Mathematics
- #633 in Mathematical Analysis (Books)
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