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

Klappentext

Demonstration of the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping dynamical systems. Practical examples, rather than theorems and proofs, characterize modeling tools. 1991 edition.

Inhalt

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