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Title: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering by Steven H. Strogatz ISBN: 0-7382-0453-6 Publisher: Perseus Book Group Pub. Date: 15 January, 2001 Format: Paperback Volumes: 1 List Price(USD): $49.00 |
Average Customer Rating: 4.83 (18 reviews)
Rating: 5
Summary: Great book
Comment: It is an absolutely marvelous text. I was looking for a text which introduced nonlinear dynamics and all its interesting applications to professors and scientists whose common background included only 1 year of calculus. All I could find was higher level math books, which for the most part were very boring as they got lost in an orgy of math. This text introduces concepts using an intuitive, graphical approach. The mathematics is rigorous, but boring details are avoided. There are fantastic examples in all areas of science. I have often noted that there are many science texts but far too few good ones. This is a great one.
Rating: 5
Summary: Excellent introduction and reference text
Comment: It is rare that books of this type are both comprehensive and readable. Strogatz has managed to cover a wide range of concepts in significant detail while providing examples to illustrate his major points.
The beginning of the text starts of with one dimensional nonlinear systems of first order (like the logistic equation), and Strogatz outlines the typical framework that one uses to analyze such systems. He defines fixed points, illustrates and defines bifurcations, and solidifies every claim with good examples.
The text eventually moves to higher order systems with coupled or non-coupled sets of differential equations. For the most part, exercises for the student involve sets of two differential equations that can be linearized using Jacobian methods.
Later, Strogatz provides a nicely executed description of fractals and fractal dimension, using examples from the Cantor set and the von Koch curve.
The beauty of the book is that it is well written and complete. It even provides some limited solutions to selected exercises in the back. The examples in the book cover a wide range of areas. Mechanical oscillating systems like a mass on a spring, electrical circuits that follow the same equations, laser models that follow a modified logistic equation, and many variations of the Lotka-Volterra model are outlined through examples in the text.
The book is a stand-alone text, equally useful as a textbook for an intorductory course or as a reference for someone merely surveying the subject. It deserves the highest rating possible.
Rating: 5
Summary: thanks to Dr. Strogatz!
Comment: It is an essential book for everybody who wants to learn nonlinear dynamics. It is writen by the master in the field in a very clear and understandable language.
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Title: Sync: The Emerging Science of Spontaneous Order by Steven Strogatz ISBN: 0786868449 Publisher: Hyperion Press Pub. Date: 05 March, 2003 List Price(USD): $24.95 |
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Title: Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Robert C. Hilborn ISBN: 0198507232 Publisher: Oxford University Press Pub. Date: January, 2001 List Price(USD): $59.50 |
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Title: Understanding Nonlinear Dynamics by Daniel Kaplan, Leon Glass ISBN: 0387944400 Publisher: Springer Verlag Pub. Date: 24 March, 1995 List Price(USD): $54.95 |
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Title: Linked: How Everything Is Connected to Everything Else and What It Means by Albert-Laszlo Barabasi, Albert-Laszlo Barbasi ISBN: 0452284392 Publisher: Plume Pub. Date: 29 April, 2003 List Price(USD): $14.00 |
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Title: Chaos in Dynamical Systems by Edward Ott ISBN: 0521010845 Publisher: Cambridge University Press Pub. Date: 22 August, 2002 List Price(USD): $60.00 |
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