Differential Equations, Dynamical Systems, and an Introduction to Chaos

by Morris W. Hirsch, Stephen Smale, Robert L. Devaney

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems. The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems. This book will be particularly useful to advanced students and practitioners in higher mathematics. NEW IN THIS EDITION

Genres: Mathematics, Textbooks, Nonfiction, Science

432 pages, Hardcover

First published October 22, 2003

Reviews

[Ian Paredes]

this book is lacking of any real mathematical rigor, plus it lacks valuable theorems from linear algebra that someone i know pointed out in an earlier edition of this book, which has since been taken out by devaney. any serious mathematician (applied or otherwise) who wants real mathematical rigor should look elsewhere, or at least find an earlier edition of the book without devaney.

[Reader]

Shitty fucking textbook. Who is this for?

[Hadley]

I did not read every single word of this volume but it’s well written and accessible—I’d recommend it to anyone interested in the subject matter.

[Heather Terran]

Have only skimmed through the first chapter, but it looks like an excellent and accessible introduction to the topic.

[Chris Ryan]

Sadly enough, this has been my latest good read in a few months. I though it deserved my recommendation since I've seen it more than my girlfriend this quarter.

[DJ]

Big boy dynamical systems theory for once I've graduated from Strogatz's preschool.

[Maximiliano Contreras]

I prefer the "continous" part in Strogatz's.

The discrete part is better in this one.