Mathematics For Dynamic Modeling by Edward Beltrami

Mathematics For Dynamic Modeling

byEdward BeltramiEditorEdward Beltrami

Hardcover | September 18, 1997

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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

About 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 app...
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Details & Specs

Title:Mathematics For Dynamic ModelingFormat:HardcoverDimensions:219 pages, 9 × 6 × 0.98 inPublished:September 18, 1997Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0120855666

ISBN - 13:9780120855667

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Extra Content

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.
Chaos.
References.
Notes.
Index.

From Our Editors

Through a series of exercise, this text helps readers understand a rapidly growing field of applied mathematics. Specifically, it concentrates on linearization, feedback concepts, the use of Liapunov functions and optimal control. This revised edition of Mathematics for Dynamic Modelling contains an enormous amount of information for more advanced researchers, yet can be understood by undergraduate students and non-specialists as well.

Editorial Reviews

Praise for the First Edition:
"A remarkable contribution...it 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