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

A Brief History of Dynamics and Computing. A THUMBNAIL SKETCH OF APPLIED MATHEMATICS. Foundations and Abstract Entities. Classical Analysis. Numerical Analysis and Approximation Theory. Statistical Methods. Classical Modeling Techniques. CLASSICAL MODELS AND DYNAMICAL CONCEPTS. Dynamics Without Calculus. Basic Models. Cycles. Analysis of Mathematical Models. THE HIERARCHY OF DYNAMIC SYSTEMS. A Classification Scheme for Dynamic Systems. Static Systems--Type Zero. Solvable Systems--Type I. Perturbation Theory--Type II. Chaotic Systems--Type III. Stochastic Systems--Type IV. THE ART OF MODEL MAKING. Qualitative Analysis. Quantitative Analysis. Model Validation. References--The Modeler's Library. Index.