Art of Modeling Dynamic Systems : Forecasting for Chaos, Randomness and Determinism

Morrison, Foster

ISBN 10: 0486462951 / ISBN 13: 9780486462950

Editore: Dover Publications, 2008

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Dati bibliografici

• Titolo: Art of Modeling Dynamic Systems : Forecasting for Chaos, Randomness and Determinism
• Editore: Dover Publications
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0486462951
• ISBN 13: 9780486462950
• Rilegatura: Brossura
• Edizione: seconda edizione
• Condizione: New

Descrizione articolo

Riassunto

This text illustrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. It describes the benefits and limitations of the available modeling tools, showing engineers and scientists how any system can be rendered simpler and more predictable.
Written by a well-known authority in the field, this volume employs practical examples and analogies to make models more meaningful. The more universal methods appear in considerable detail, and advanced dynamic principles feature easy-to-understand examples. The text draws careful distinctions between mathematical abstractions and observable realities. Additional topics include the role of pure mathematics, the limitations of numerical methods, forecasting in the presence of chaos and randomness, and dynamics without calculus. Specialized techniques and case histories are coordinated with a carefully selected and annotated bibliography. The original edition was a Library of Science Main Selection in May, 1991. This new Dover edition features corrections by the author and a new Preface.

Contenuti

Preface for the Dover Edition Preface I. Introductory Section 1. Introduction to Dynamics 2. A Brief History of Dynamics and Computing II. A Thumbnail Sketch of Applied Mathematics 3. Foundations and Abstract Entities 4. Classical Analysis 5. Numerical Analysis and Approximation Theory 6. Statistical Method 7. Classical Modeling Techniques III. Classical Models and Dynamical Concepts 8. Dynamics without Calculus 9. Basic Models 10. Cycles 11. Analysis of Mathematical Models IV. The Hierarchy of Dynamic Systems 12. A Classification Scheme for Dynamic Systems 13. Static Systems—Type Zero 14. Solvable Systems—Type I 15. Perturbation Theory—Type II 16. Chaotic Systems—Type III 17. Stochastic Systems—Type IV V. The Art of Model Making 18. Qualitative Analysis 19. Quantitative Analysis 20. Model Validation References—The Modeler's Library Index