Differential Dynamical Systems: Series Number 14 (Monographs on Mathematical Modeling and Computation, Series Number 14) - Softcover

Meiss, James D.

Softcover

ISBN 10: 0898716357 ISBN 13: 9780898716351

Publisher: Society for Industrial and Applied Mathematics, 2008

Synopsis

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines traditional teaching on ordinary differential equations with an introduction to the more modern theory of dynamical systems, placing this theory in the context of applications to physics, biology, chemistry, and engineering. Beginning with linear systems, including matrix algebra, the focus then shifts to foundational material on non-linear differential equations, drawing heavily on the contraction mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts - flow, chaos, invariant manifolds, bifurcation, etc. An appendix provides simple codes written in Maple®, Mathematica®, and MATLAB® software to give students practice with computation applied to dynamical systems problems. For senior undergraduates and first-year graduate students in pure and applied mathematics, engineering, and the physical sciences. Readers should be comfortable with differential equations and linear algebra and have had some exposure to advanced calculus.

About this title

About the Author

James D. Meiss is a Professor in the Department of Applied Mathematics at the University of Colorado at Boulder. He is a fellow of the American Physical Society.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2008
• Language: English
• ISBN 10: 0898716357
• ISBN 13: 9780898716351
• Binding: Paperback
• Number of pages: 436