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

Overview


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 ...
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Overview


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.
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Product Details

  • ISBN-13: 9780486462950
  • Publisher: Courier Corporation
  • Publication date: 1/24/2008
  • Series: Dover Books on Computer Science Series
  • Pages: 416
  • Sales rank: 1,396,074
  • Product dimensions: 5.50 (w) x 8.50 (h) x 0.85 (d)

Table of Contents


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
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