Mathematics for Dynamic Modeling


  • Edward Beltrami, State University of New York, Stony Brook, NY, U.S.A.

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.
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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.


Book information

  • Published: September 1997
  • ISBN: 978-0-12-085566-7


"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

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.