In the coverage of dynamics, there is a definite gap between ``picture-book'' popularizations and the technical literature. This work fills that gap. Shows engineers and scientists how, by the application of statistical methods, coordinate transformations and mathematical analysis, any complex, unpredictable dynamical system can be mapped--transformed into a simpler, predictable system. The various modeling tools available, their benefits and their limitations are described. Examples and analogies are used in place of theorems and proofs, making this an immediately practical book. By showing how to make models more meaningful and useful, it will be particularly helpful in clearing up the impasse between economics and system dynamics. Features a number of carefully selected references to more mathematical treatments, examples of some of the more specialized techniques and case histories of some models.
A Brief History of Dynamics and Computing.
A THUMBNAIL SKETCH OF APPLIED MATHEMATICS.
Foundations and Abstract Entities.
Numerical Analysis and Approximation Theory.
Classical Modeling Techniques.
CLASSICAL MODELS AND DYNAMICAL CONCEPTS.
Dynamics Without Calculus.
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.
References--The Modeler's Library.