- Paperback: 432 pages
- Publisher: Oxford University Press; 1 edition (October 12, 2012)
- Language: English
- ISBN-10: 0199566445
- ISBN-13: 978-0199566440
- Product Dimensions: 9.6 x 0.9 x 7.4 inches
- Shipping Weight: 2.1 pounds (View shipping rates and policies)
- Average Customer Review: 4.7 out of 5 stars See all reviews (8 customer reviews)
- Amazon Best Sellers Rank: #519,133 in Books (See Top 100 in Books)
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Chaos and Fractals: An Elementary Introduction 1st Edition
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"For the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe."
-- Thomas B. Ward, Durham University
"There is a great deal to like about this book, starting with the author's writing style, which I found particularly clear and enjoyable. ... All in all, this is a very valuable book. ... This is an excellent book and is highly recommended." --Mark Hunacek, MAA Reviews
From the Author
A solutions manual is available for instructors. Contact Oxford University Press or the author.
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Top Customer Reviews
Other book I really liked is Flake's Computational Beauty of Nature which you can read in parallel or after this one.
The book is broad in its aim to give you a complete overview of chaos and fractals (dynamical systems) along with the math, but in a way that anyone can get it. This is a must have. His MOOC is a must take and he is a gift to the world of students. He is that rare teacher you never forget and always appreciate and his book is the same.
The author concentrates on the classical iterated function systems: the logistic map. The hallmarks of chaos: a deterministic system with aperiodic bounded orbits and sensitive dependence on initial conditions are demonstrated. The introduction of fractals and different concepts of dimensions. There is an enjoyable discussion of Julia sets and the Mandelbrot set. The relationship between chaos and fractals is hinted at and there is a superficial introduction to differential equations.
Overall this is, as the title expresses, an elementary introduction to these interesting topics.