Review
"The exposition is excellent. I particularly liked how the proofs are fairly easy to follow...a readable and informative text."
– Gareth Roberts, Holy Cross
"..from three mathematicians who are...among the world's most prominent experts in dynamical systems...[and] the world's best mathematical expositors."
- Bruce Peckham, University of Minnesota
– Gareth Roberts, Holy Cross
"..from three mathematicians who are...among the world's most prominent experts in dynamical systems...[and] the world's best mathematical expositors."
- Bruce Peckham, University of Minnesota
Book 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.
* Provides a rigorous yet accessible introduction to differential equations and advanced mathematics
* The revision of this seminal book brings material and presentation up to date
* Linear algebra prerequisites have been toned down from the first edition
* Includes analyses of examples of chaotic systems, including Lorenz, Rosssler, and Shil'nikov systems
* Bifurcation theory included throughout
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.
* Provides a rigorous yet accessible introduction to differential equations and advanced mathematics
* The revision of this seminal book brings material and presentation up to date
* Linear algebra prerequisites have been toned down from the first edition
* Includes analyses of examples of chaotic systems, including Lorenz, Rosssler, and Shil'nikov systems
* Bifurcation theory included throughout
