About the book
Jacket Text
The Computational Beauty of Nature Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation by Gary William Flake
“This book is a delight.”
—Barak Pearlmutter, The University of New Mexico
“This delightful book illustrates beautifully the paradigm shift in physics from writing equations and solving them to computer modeling and experimentation.”
—Greg Chaitin, author of The Limits of Mathematics
“Simulation,” writes Gary Flake in his preface, “becomes a form of experimentation in a universe of theories. The primary purpose of this book is to celebrate this fact.”
In this book, Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. Distinguishing “agents” (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as “beautiful” and “interesting.” From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation.
Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.
Contents
Chapters with a live program are linked.
Front Matter
- Preface
- 1. Introduction
Part I: Computation
- 2. Number Systems and Infinity
- 3. Computability and Incomputability
- 4. Postscript: Computation
Part II: Fractals
- 5. Self-Similarity and Fractal Geometry
- 6. L-Systems and Fractal Growth
- 7. Affine Transformation Fractals
- 8. The Mandelbrot Set and Julia Sets
- 9. Postscript: Fractals
Part III: Chaos
- 10. Nonlinear Dynamics in Simple Maps
- 11. Strange Attractors
- 12. Producer-Consumer Dynamics
- 13. Controlling Chaos
- 14. Postscript: Chaos
Part IV: Complex Systems
- 15. Cellular Automata
- 16. Autonomous Agents and Self-Organization
- 17. Competition and Cooperation
- 18. Natural and Analog Computation
- 19. Postscript: Complex Systems
Part V: Adaptation
- 20. Genetics and Evolution
- 21. Classifier Systems
- 22. Neural Networks and Learning
- 23. Postscript: Adaptation
Epilogue
- 24. Duality and Dichotomy
- Source Code Notes
- Glossary
- Production Notes
Reviews and awards · Three themes · Part synopses · Selected excerpts · Errata · For educators · Bibliography · The 1998 site