The Art of Modelling Dynamic Systems

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

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Description

This text has been designed to shows engineers and scientists how, by the application of statistical methods, co-ordinate transformations and mathematical analysis, any complex, unpredictable dynamical systems can be mapped. It describes the various modelling tools, their benefits and their limitations. Examples and analogies are used in place of theorems and proofs, and the book features a number of selected references to mathematical treatments, examples of specialized techniques, and case histories of models.
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Product details

  • Hardback | 384 pages
  • 161.3 x 237.5 x 30.7mm | 680.4g
  • John Wiley & Sons Inc
  • New York, United States
  • English
  • index
  • 0471520047
  • 9780471520047

Table of contents

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.
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16 ratings
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