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Fractals Everywhere, by Michael F. Barnsley
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Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology.
After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems.
This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.
- Sales Rank: #2253435 in eBooks
- Published on: 2014-05-10
- Released on: 2014-05-10
- Format: Kindle eBook
Review
"The material contained in the second edition is quite obviously more extensive in detail and scope...the style of writing is technically excellent, informative, and entertaining... ."
—Robert McCarty
"The problems and examples are well-chosen and interesting...difficult concepts are introduced in a clear fashion with excellent diagrams and graphs."
—Alan E. Wessel, Santa Clara University
From the Back Cover
"The material contained in the second edition is quite obviously more extensive in detail and scope...the style of writing is technically excellent, informative, and entertaining... ."
-Robert McCarty
"The problems and examples are well-chosen and interesting...difficult concepts are introduced in a clear fashion with excellent diagrams and graphs."
-Alan E. Wessel
Santa Clara University
This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world.
Features
This edition of Fractals Everywhere is the most up-to-date fractal textbook available today.
Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry
About the Author
By Michael F. Barnsley
Most helpful customer reviews
4 of 4 people found the following review helpful.
The most intelligent and usefull book on fractals
By Amazon Customer
I really enjoyed the author's style. It is not a typical mathematical book. So if you are into strict formal mathematics this is not for you. The author has deep understanding of fractals and he is an expert in Iterated Function Systems (IFS). The shadow theorem is one of the biggest hits on this book.
What I particularly like from this book is the illustrations. They let you understand fractals intuitively. It is definitely an ideal book for engineers. Try also his other more advanced book SuperFractals
The only part of the book that is not very well developed is chaos, although the "chaotic dance" presented on the book is good starting point
0 of 0 people found the following review helpful.
Five Stars
By Nienna
Great!
0 of 1 people found the following review helpful.
Way over my head!
By Russell A. Williams
Man, this got way too deep, way too fast. I have some algebra, some statistical analysis, some calc... This just took off running and left me in the dust. I was "fooled" by the "first course" title?
In fractal geometry we are concerned with the structure of subsets of various very simple "geometrical" spaces. Such a space is denoted by X. It is the space on which we think of drawing our fractals; it is the place where fractals live. What is a fractal? For us, for now, it is just a subset of a space. Whereas the space is simple, the fractal subset may be geometrically complicated.
So, why is *this* a fractal, but, *That*'s just a recursive function? Idunno, and I guess that I won't until I find another book?
This is a beautiful book. LOTs of graphics, TONs of information, but not for me.
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