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Chaos and fractals are new mathematical ideas that have revolutionized our view of the world. They have application in virtually every academic discipline. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns. Disk includes a full working version of the program.
Computers, Pattern, Chaos and Beauty by Clifford A. Pickover Pdf
Fractals and chaos theory lead to startling graphics in this book by a renowned scientist, inventor, and artist, who coordinates information from disparate fields. Over 275 illustrations, 29 in color.
FTL travel brings planetary systems together but with the cost of Chaos that no machine can navigate. Only the elite pilots or tezars of the Choyan race can reliably helm a starship. Palaton is one such pilot. Other races of the Compact would--and have--done almost anything to learn their secret. Palaton faces that danger as well as the strife and upheaval of his own planet Cho. Caught in a power struggle, he faces the inevitable burnout of his ability. He will turn to a secret experiment with a young civilization hoping to gain its own place among the stars, a race which calls itself "human".
Weak Chaos and Quasi-Regular Patterns by George M. Zaslavsky Pdf
This book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour.
An assassination is ordered-700 million years ago. Bron is a chaos catalyst. He wreaks havoc and destruction as surely as a hurricane wherever he goes. Commando Central has planted an electrode transmitter-receiver deep inside his brain and infiltrated him into the Destroyer Spacefleet to prevent it from gaining absolute mastery of the galaxy. But Bron's own brand of chaos is lethally unpredictable. And when whole planets are annihilated by monster hellburner bombs set on course seven hundred million years ago from distant Andromeda, aimed directly at Bron himself, both sides realize that something more colossal, more threatening and infinitely more powerful is taking a hand in Bron's weird destiny...
Ancient myths about watery chaos uniquely transcend time and culture to speak to the universal human condition as expression to the hopes, aspirations and fears that have defined--for ancient thinkers as well as modern scientists--what it means to be human in a chaotic world. "The Hero and the Sea examines the mythological pattern of heroic battles with watery chaos in the "Gilgamesh Epic, the "Iliad, the "Odyssey, and the Old Testament, in the light of anthropology, comparative religion, literature, mythology, psychology, and modern chaos theory; how mythic patterns of heroic battle with chaotic adversaries respond to the cultural needs, religious concerns, and worldview of their audience. The last chapter explores points of contact between the ancient mythic patterns and the discoveries of modern scholars engaged in the theoretical study of chaos and chaotics.
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.
Fractals, Chaos, Power Laws by Manfred Schroeder Pdf
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Symmetry in Chaos by Mike Field,Michael Field,Martin Golubitsky Pdf
A classy rendering of chaos theory and symmetry mathematics illustrating recent understanding about the convergence between the two areas. Mathematicians Field and Golubitsky explain the relationship between chaos and symmetry, describing how chaotic process may eventually lead to symmetric patterns in a clear, understandable language and in color photographs reproducing computer images demonstrating the inherent pattern in apparent chaos. The authors compare these images with pictures from nature and art that, miraculously, mimic the computer patterns. Includes an appendix containing several BASIC programs enabling home computer owners to experiment with similar images. Annotation copyrighted by Book News, Inc., Portland, OR
Nonlinear Dynamics by Muthusamy Lakshmanan,Shanmuganathan Rajaseekar Pdf
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.