Mathematics for Dynamic Modeling

ISBN-13: 9780120855667 / Angielski / Twarda / 1997 / 219 str.

Edward Beltrami

Opis

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

Recenzje

"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

Spis treści

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.