Mathematics for Dynamic Modeling

Front Cover
Academic Press, 1998 - Science - 219 pages
This new edition of Mathematics for Dynamic Modeling updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines.
The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest.

  • Contains a new chapter on stability of dynamic models
  • Covers many realistic applications from a wide variety of fields in an accessible manner
  • Provides a broad introduction to the full scope of dynamical systems
  • Incorporates new developments such as new models for chemical reactions and autocatalysis
  • Integrates MATLAB throughout the text in both examples and illustrations
  • Includes a new introduction to nonlinear differential equations

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Simple Dynamic Models
Ordinary Differential Equations
Stability of Dynamic Models
There is a Better
A Summary of Part 1
A reactiondiffusion model for morphogenesis A uniform
Cycles and Bifurcation
Bifurcation and Catastrophe
Including a model of algae bloom as a function of nutrient
References and a Guide to Further Readings

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Common terms and phrases

Popular passages

Page 216 - How Random is a Coin Toss?", Physics Today, April 1983, 1-8, and L. Kadanoff, "Roads to Chaos,

About the author (1998)

Edward Beltrami has been a professor in the Department of Applied Mathematics and Statistics at SUNY Stony Brook for three decades. Prior to this,Dr. Beltrami worked as an engineer at the former Grumman Aerospace Corporation. He has lectured widely and spent extended periods at universities abroad, especially in Italy. With a joint appointment in the Marine Sciences Research Center at SUNY, Beltrami has wide-ranging research interests, from optimization methods in Operation Research to the dynamics of biochemical reactions in blood clotting.

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