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| DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS
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To order this title, and for more information, click here
Second Edition
By
Robert Devaney, Boston University, Massachussetts, USA
Morris Hirsch, University of Wisconsin, Madison, USA
Stephen Smale, University of California, Berkeley, USA
Description
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary
differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become
the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research,
starting from a background that includes only calculus and elementary linear algebra.
The authors are tops in the field of advanced
mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems.
Audience
Advanced students and practitioners in higher mathematics.
Contents
Preface
First Order Equations
Planar Linear Systems
Phase Portraits for Planar Systems
Classification of Planar Systems
Higher Dimensional
Linear Algebra
Higher Dimensional Linear Systems
Nonlinear Systems
Equilibria in Nonlinear Systems
Global Nonlinear Techniques
Closed
Orbits and Limit Sets
Applications in Biology
Applications in Circuit Theory
Applications in Mechanics
The Lorenz System
Discrete
Dynamical Systems
Homoclinic Phenomena
Existence and Uniqueness Revisited
| Bibliographic details |
Hardbound, 425 pages, publication date: OCT-2003
ISBN-13: 978-0-12-349703-1
ISBN-10: 0-12-349703-5
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
EUR 39.57
USD 105
GBP 35.40
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Last update: 4 Sep 2009
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