Mathematics for Dynamic Modeling

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