Differential Equations, Dynamical Systems, and an Introduction to Chaos

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

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.* Developed by award-winning researchers and authors* Provides a rigorous yet accessible introduction to differential equations and dynamical systems* Includes bifurcation theory throughout* Contains numerous explorations for students to embark uponNEW IN THIS EDITION* New contemporary material and updated applications* Revisions throughout the text, including simplification of many theorem hypotheses* Many new figures and illustrations* Simplified treatment of linear algebra* Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor* Increased coverage of discrete dynamical systems

Genres: Mathematics, Textbooks, Nonfiction, Science

432 pages, Kindle Edition

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.