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David P. Feldman
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Chaos and Fractals: An Elementary Introduction Paperback – 12 October 2012

by David P. Feldman (Author)
4.6 out of 5 stars 31
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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.
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  1. ISBN-10
    0199566445
  2. ISBN-13
    978-0199566440
  3. Publisher
    Oxford University Press
  4. Publication date
    12 October 2012
  5. Language
    English
  6. Dimensions
    1.91 x 23.5 x 18.42 cm
  7. Print length
    430 pages
  8. See all details
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Review

... obtains top marks ... For any lecturer or teacher looking for a text on these subjects, this book is worthy of your consideration. ― Gazette of the Australian Mathematical Society

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, Zentralblatt MATH

This is an excellent book, and is highly recommended. ― Mark Hunacek, Mathematical Association of America

The only textbook on chaos and fractals for non-science and mathematics majors. Covers central phenomena and ideas of chaos and fractals in a careful, intellectually honest, but accessible way. ― L'Enseignement Mathematique (2) 59

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

The style of writing is easy on the reader. The explanations are clear and illustrated with many diagrams and side notes....[Feldman] has produced an excellent book. ― John Sykes, Mathematics in School

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

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

The book is very well produced, with excellent diagrams and very informative notes provided beside the main text. It also provides an extensive list of references for further reading. ― Scottish Mathematical Council Journal

[haos and Fractals] offers at least the possibility of a radically different trajectory for school teaching, providing a motivated pathway to a lot of fascinating mathematics not normally considered accessible ... ― Danny Yee, Danny Reviews

Review

`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 `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 `The book is very well produced, with excellent diagrams and very informative notes provided beside the main text. It also provides an extensive list of references for further reading.' Scottish Mathematical Council Journal

Product details

  • Publisher ‏ : ‎ Oxford University Press (12 October 2012)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 430 pages
  • ISBN-10 ‏ : ‎ 0199566445
  • ISBN-13 ‏ : ‎ 978-0199566440
  • Dimensions ‏ : ‎ 1.91 x 23.5 x 18.42 cm
  • Customer Reviews:
    4.6 out of 5 stars 31

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David P. Feldman

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4.6 out of 5
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Ms Piper
5.0 out of 5 stars Fascinating
Reviewed in the United Kingdom on 28 July 2021
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Described by my 17 year old son as a real page-turner. He is very interested in maths theory and this was recommended by a summer school teacher for anyone thinking of doing maths at Uni.
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Raptorduck
5.0 out of 5 stars A must have
Reviewed in the United States on 3 May 2014
Verified Purchase
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.
7 people found this helpful
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Cosnita Radu Viorel
5.0 out of 5 stars Chaos and Fractals explained using simple math.
Reviewed in the United States on 10 November 2017
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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.
2 people found this helpful
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Isabel
5.0 out of 5 stars A brilliant book on a fascinating topic
Reviewed in the United Kingdom on 11 October 2015
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A brilliant book on a fascinating topic. The author turns a highly complex topic into a delightfully learning experience for non-experts.The only 'catch' is the subtitle "An Elementary Introduction", as in order to follow the book and engage in the exercises from the start it does require that the reader has had some previous training in algebra. Apart from that, it is a must read for anyone interested in the field of dynamical systems. Thank you Professor Feldman.
3 people found this helpful
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Dan B.
5.0 out of 5 stars Excellent formal intro to fractals and non linear math
Reviewed in the United States on 28 September 2021
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Succinct and lucid text apt for seniors in HS or first college year math.
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