: Endlessly Repeated Geometrical Figures
Hans Lauwerier, Sophia Gill-Hoffstadt (Translator)
THE best book about fractals if you are trying to learn. Written in relatively simple
language, it very well explains most of the topics related to fractals and includes a lot
of diagrams and BASIC programs. It was the first fractal book for all three of us, and it
is the only book we would suggest to anyone who is a beginner.
God Play Dice? : The Mathematics of Chaos
This is the only fairly understandable book ever written about chaos. It touches a wide
range of topics and gives a lot of interesting examples. We highly recommend it to all
readers, regardeless of the level of knowledge.
Geometry of Nature
Benoit B. Mandelbrot
Fractals without this book is like literature without an alphabet. Written by the founder
of fractals himself, this book covers a tremendous range of topics and interesting
applications. Although it is not very easy to read, you will find a lot of nice pictures
and interesting topics even if you don't go deeply into them.
Michael F. Barnsley
This is another classic, written by the founder of IFS fractals. The entire book is mainly
an in-depth analysis of this topic. Although relatively hard to read, the text is
accompanied by a very large number of easily understandable diagrams.
Algorithmic Beauty of Plants
Przemyslaw Prusinkiewicz, A. Lindenmayer
Written by the founders of l-systems, this books is great for that topic.It mostly focuses
on using l-systems to model plants and contains a lot of beautiful pictures. It is not
very hard to read, especially because the topic is very visual.
Cosmos : The Art of Mathematical Design
You will not find a lot of explanations in this book, but it is great if you want to see
the great variety and beauty of fractals, especially formula generated ones. Every fractal
in the book is followed by a formula and parameters, letting you experiment on your own.
Geometry in Biological Systems : An Analytical Approach
Philip M. Iannaccone(Editor), Mustafa Khokha (Editor)
Although extremely hard to read, this book is an excellent collection of the most exotic
applications of fractals. The topics touched come from practically all areas of biology,
from DNA structure to the heart rhythm.
and Chaos in Geology and Geophysics
Donald L. Turcotte
A very hard to read collection of fractal applications in various areas of earth science.
Some topics included are earthquakes, mineral distribution, and landscapes.
Attractors : Creating Patterns in Chaos/Book and Disk
Julien C. Sprott
WWW version: http://sprott.physics.wisc.edu/fractals/booktext/sabook.htm
An great book if you want to learn about strange attractors. You will not find a lot of
applications here, but the text is fairly easy to read and is accompanied by nice
diagrams. A large portion of the book is devoted to creating strange attractors with a
Chaos : Applying Expert Techniques to Maximize Your Profits (Wiley
This book is entirely devoted the economical applications of fractals and chaos. Although
not very hard to read in general, this book requires some knowledge of both fractals and