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Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition Hardcover – March 26, 2012

ISBN-13: 978-0123820105 ISBN-10: 0123820103 Edition: 3rd

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Product Details

  • Hardcover: 432 pages
  • Publisher: Academic Press; 3 edition (March 26, 2012)
  • Language: English
  • ISBN-10: 0123820103
  • ISBN-13: 978-0123820105
  • Product Dimensions: 9.1 x 6.3 x 1.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #193,825 in Books (See Top 100 in Books)

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16 of 16 people found the following review helpful By ubpdqn on November 4, 2012
Format: Kindle Edition
I read this book quicker than I wanted to. It will be a wonderful resource to come back with the explorations and the exercises. As such this review pertains to reading rather than getting the most out of this book. This limitation aside, this is a very clearly written and illustrated book.

There is a progressive increase in complexity proceeding from one dimensional linear autonomous differential equations, to linearisation of non-linear equation, qualitative assessments through analysis of equilibrium points, Poincare maps. The section introducing chaos (focussing on hallmarks of density of periodic orbits, transitivity and sensitivity to initial conditions) is very interesting. I found the chaotic behaviour of logistic map and relation (homeomorphism) to Cantor sets very interesting.

It is a very good textbook and I look forward to a time when I can maximize my learning by diving into the explorations (esp. with Mathematica).
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3 of 40 people found the following review helpful By James Waddington on February 3, 2013
Format: Kindle Edition
The main issue is that this book would leave many things undefined. It would mention things like bifurcation points, phase lines, but would never define them. Multiple times during reading it I had to look up terms in other sources to get definitions. Granted this isn't necessarily a show stopper, but when words are bold-faced it's more or less expected that they are to be defined. Often times you had to guess what something was in a diagram to get something close to a definition.

This book was part of the reason why I dropped a math class I had planned on taking. Granted I had only read the first chapter, before giving up on it, so as far as I know it gets better after the chapter. On an unrelated note the publisher is known for being quite sleazy with their business practices, so that might be another reason not to use this book.
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