Mathematics For Dynamic Modeling / Edition 2

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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

Audience: Upper-division undergraduate and graduate-level courses in modeling, dynamical systems, differential equations, linear multivariable systems, and differential equations for engineers offered in mathematics, engineering (especially electrical, mechanical engineering and operations research), computer science, applied mathematics, and economics departments at all major universities.

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Editorial Reviews

From the Publisher
Praise for the First Edition:
"A remarkable is not often that one finds, in the same chapter, a coherent and complementary discussion of the pumping heart, spruce budworm infestations, and terrestrial magnetic field reversal...stimulating and informative."
—A.A. Barnes, McMaster University, in Physics in Canada
Offers an informal introduction to the mathematics of dynamical systems, for upper undergraduate and first-year graduate courses in mathematical modeling or for an applications-oriented second course in differential equations. Presentation is less formal than in most texts, without the usual theorem-proof format. Mathematical formulations are in terms of linear and nonlinear differential equations, ordinary and partial equations, and difference equations. Problems illustrate concepts of equilibrium and stability, bifurcation, limit cycles, and chaos. Topics include reaction- diffusion and shock phenomena, Hopf bifurcations, cusp catastrophes, and strange attractors. Applications are to the temporal and spatial dynamics of interacting populations, geophysical and physiological models, and oscillatory mechanical systems. Assumes understanding of basics of differential equations and matrix theory. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780120855667
  • Publisher: Elsevier Science
  • Publication date: 9/1/1997
  • Edition description: REV
  • Edition number: 2
  • Pages: 236
  • Product dimensions: 0.69 (w) x 6.00 (h) x 9.00 (d)

Meet the Author

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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Read an Excerpt

New, Updated Edition Now Available!
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Table of Contents

Simple Dynamic Models.
Ordinary Differential Equations.
Stability of Dynamic Models.
There is a Better Way.
Motion in Time and Space.
Cycles and Bifurcation.
Bifurcation and Catastrophe.

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