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Chaos and Fractals: An Elementary Introduction Paperback – Sep 2 2012

by David P. Feldman (Author)

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Study Supplies for your test preparations

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial
conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part
of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.

The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals.

Product details

Paperback: 448 pages
Publisher: Oxford University Press (Sept. 2 2012)
Language: English
ISBN-10: 0199566445
ISBN-13: 978-0199566440
Product Dimensions: 24.4 x 2.3 x 18.8 cm
Shipping Weight: 948 g
Average Customer Review: Be the first to review this item
Amazon Bestsellers Rank: #624,217 in Books (See Top 100 in Books)
- #7 in Books > Computers & Technology > Programming > Algorithms > Fractals
- #47 in Books > Science & Math > Mathematics > Pure Mathematics > Fractals
- #231 in Books > Professional & Technical > Professional Science > Mathematics > Chaos & Systems

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"Chaos and fractals are two intertwined concepts that have revolutionized many areas of science and renewed popular interest in mathematics over the past few decades. Feldman's book is a rich resource for anyone who wants a deeper understanding of these subjects without the need for advanced
mathematics."

--Julien Clinton Sprott, University of Wisconsin-Madison

"David P. Feldman provides a delightful and thoughtful introduction to chaos and fractals requiring only a good background in algebra. The formal treatment of nonlinear dynamics, chaotic behavior, Lyapunov exponents, and fractal dimensions is leavened with creative analogies and many helpful
and visually attractive figures and diagrams. Even more mathematically sophisticated readers will find this book a good starting point in exploring the complex and beguiling realms of chaos and fractals."

--Robert C. Hilborn, Associate Executive Officer, American Association of Physics Teachers

About the Author

David Feldman joined the faculty at College of the Atlantic in 1998, having completed a PhD in Physics at the University of California. He served as Associate Dean for Academic Affairs from 2003 - 2007. At COA Feldman has taught over twenty different courses in physics, mathematics, and
computer science. Feldman's research interests lie in the fields of statistical mechanics and nonlinear dynamics. In his research, he uses both analytic and computational techniques. Feldman has authored research papers in journals including Physical Review E, Chaos, and Advances in Complex Systems.
He has recently begun a research project looking at trends in extreme precipitation events in Maine.

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Amazon.com: 10 reviews

Raptorduck

A must have

May 3, 2014 - Published on Amazon.com

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So I was fortunate enough to take David Feldman's MOOC through the Santa Fe Institute on dynamical systems. He was just amazing in the course, one of the most likeable teachers I have ever had. Dynamical systems (chaos and fractals are part of that, sort of, kind of), are not trivial to understand. Yet Dr. Feldman is such a master teacher that he makes it look easy and interesting, very interesting. The good news is that he writes like he teaches. This book gets into far more detail than the more popular titles by Gleik and others. It is not a tome like the ones targeted at math geniuses either. It is right in the middle, not too much, not too little, but just right. The middle bear of chaos. Feldman is as patient a writer as he is a teacher and will repeat himself in a masterful way to ensure you get the concept. He writing is approachable, just like he is. He is wicked smart, but does not need to rub it in your face. And he does not.

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.

4 people found this helpful.

Cosnita Radu Viorel

Chaos and Fractals explained using simple math.

November 10, 2017 - Published on Amazon.com

Verified Purchase

This is a really amazing hint which explains chaos and fractals starting from very basic mathematics and functions. I was really surprised by the elegance and coherence of the explanations throughout this book.

I strongly suggest you also solve the exercises from the end of each chapter. In order to be able to simulate some of the exercises it helps to have some basic knowledge of matlab / octave or something similar.

Nonetheless, from my point of view this book is a must read for everyone with an engineering / mathematics / economics background.

Julio Cesar Campos Neto

This is the most basic place do start studying Chaos and Fractals: From high algebra to Differential Equations.

January 19, 2014 - Published on Amazon.com

Verified Purchase

Ive read a bunch of Chaos and Fractals books, and this one is really the basic place to start Chaos and Fractals math. And now with Prof Feldman's online course (Complexity Explorer website) theres really no excuse to learn the subject anymore :). Very well done Prof. Feldman!. This is a great book and I really felt envy of Prof Feldman Students.

Other book I really liked is Flake's Computational Beauty of Nature which you can read in parallel or after this one.

6 people found this helpful.

J. Hill

The book is new, but it is hard to ...

October 12, 2017 - Published on Amazon.com

Verified Purchase

The book is new, but it is hard to read because the print is not centered properly. There is no margin between the print and the binding at the center of the book, making it necessary to peel the book back, stressing the binding, in order to read it. This book was a replacement for an empty container that I received when I recently ordered the book. Duane Hill

T. Bond

Well Written, Very Clear, Fun to read!

July 10, 2013 - Published on Amazon.com

Verified Purchase

I have read many books on the subject. This one is the best. The author goes out of his way to explain things clearly. No matter how complex the topic, he does a great job explaining it with both words and graphics.

6 people found this helpful.

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Chaos and Fractals: An Elementary Introduction Paperback – Sep 2 2012

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