Chaos Theory Tamed [Hardcover]

Preface; 1. Introduction 2. The Auxilliary Toolkit 3. How to Get There From Here 4. Characteristics of Chaos 5. Phase Space Signatures 6. Dimensions 7. Quantitative Measures of Chaos; Epilogue; Appendix; Glossary; References.This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents. Only basic algebra, trigonometry, geometry and statistics are assumed as background. The author focuses on the most important topics, very much with the general scientist in mind.Chaos Theory Tamed is written for scientists, mathematicians, economists, engineers, physiologists and others who wish to bring Chaos Theory into focus as something conceptually understandable and potentially applicable to their field. The book bridges the gap between non-mathematical popular treatments and the highly technical mathematical publications that often seem so difficult to penetrate.
The author provides clear derivations or explanations of many key concepts such as Kolmogorov-Sinai entropy, dimensions, Fourier analysis and Lyapunov exponents. The reader needs a background of nothing more than a basic course in algebra, trigonometry, geometry and possibly statistics. Rather than cover the field exhaustively, the author focuses on the most important topics, very much with the non-specialist in mind. In essence, the books provides and accessible introduction into Chaos Theory for the researcher, teacher or student who is not an advanced mathematician.
Key Features:
* Focused on the scientist as reader, not a mathematician
* Highly accessible and scientifically relevant style
* Essential reading for all scientists wishing to bring Chaos Theory into focus as something concepl³!