Free Ebook Chaos and Fractals: An Elementary Introduction, by David P. Feldman
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Chaos and Fractals: An Elementary Introduction, by David P. Feldman
Free Ebook Chaos and Fractals: An Elementary Introduction, by David P. Feldman
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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.
To request a copy of the Solutions Manual, visit: http://global.oup.com/uk/academic/physics/admin/solutions
- Sales Rank: #349237 in Books
- Published on: 2012-10-12
- Released on: 2012-10-12
- Original language: English
- Number of items: 1
- Dimensions: 7.40" h x .90" w x 9.60" l, 2.00 pounds
- Binding: Paperback
- 432 pages
Review
"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.
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.
Most helpful customer reviews
6 of 6 people found the following review helpful.
This is the most basic place do start studying Chaos and Fractals: From high algebra to Differential Equations.
By Julio Cesar Campos Neto
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 of 6 people found the following review helpful.
Well Written, Very Clear, Fun to read!
By T. Bond
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.
3 of 3 people found the following review helpful.
A must have
By Occasional Reviewer
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.
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