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Chaos and Fractals: An Elementary Introduction de David P. Feldman

Chaos and Fractals: An Elementary Introduction

Autor David P. Feldman
en Limba Engleză Paperback – 9 aug 2012
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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Specificații

ISBN-13: 9780199566440
ISBN-10: 0199566445
Pagini: 432
Ilustrații: 306 b/w line drawings, 31 b/w halftones
Dimensiuni: 190 x 246 x 22 mm
Greutate: 0.93 kg
Editura: Oxford University Press
Colecția OUP Oxford
Locul publicării:Oxford, United Kingdom

Recenzii

... obtains top marks ... For any lecturer or teacher looking for a text on these subjects, this book is worthy of your consideration.
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.
This is an excellent book, and is highly recommended.
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.
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.
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.
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.
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.
[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 ...

Notă biografică

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. In 2011-12 he was a U.S. Fulbright Lecturer in Kigali, Rwanda.