Author	Peitgen, Heinz-Otto. author
Title	Chaos and Fractals [electronic resource] : New Frontiers of Science / by Heinz-Otto Peitgen, Hartmut Jรผrgens, Dietmar Saupe
Imprint	New York, NY : Springer New York : Imprint: Springer, 2004
Edition	Second Edition
Connect to	http://dx.doi.org/10.1007/b97624
Descript	XIII, 864 p. online resource

Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements. This second edition has several changes. We have taken out the two appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to

Causality Principle, Deterministic Laws and Chaos -- The Backbone of Fractals: Feedback and the Iterator -- Classical Fractals and Self-Similarity -- Lim and Self-Similarity -- Length, Area and Dimension: Measuring Complexity and Scaling Properties -- Encoding Images by Simple Transformations -- The Chaos Game: How Randomness Creates Deterministic Shapes -- Recursive Structures: Growing Fractals and Plants -- Pascalโs Triangle: Cellular Automata and Attractors -- Irregular Shapes: Randomness in Fractal Constructions -- Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- Order and Chaos: Period-Doubling and Its Chaotic Mirror -- Strange Attractors: The Locus of Chaos -- Julia Sets: Fractal Basin Boundaries -- The Mandelbrot Set: Ordering the Julia Sets

1. Mathematics
2. Computer science -- Mathematics
3. Computer graphics
4. Dynamics
5. Ergodic theory
6. Physics
7. Mathematics
8. Dynamical Systems and Ergodic Theory
9. Mathematics of Computing
10. Computer Graphics
11. Mathematics
12. general
13. Theoretical
14. Mathematical and Computational Physics