Differential Equations, Dynamical Systems, and an Introduction to Chaos

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

Hirsch, Devaney, and Smale’s classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems. Classic text by three of the world’s most prominent mathematicians Continues the tradition of expository excellence Contains updated material and expanded applications for use in applied studies

Genres: Mathematics, Textbooks, Science

433 pages, Kindle Edition

First published October 22, 2003

Reviews

[Ian Paredes · Rating 2 out of 5]

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 · Rating 1 out of 5]

Shitty fucking textbook. Who is this for?

[Heather Terran]

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

[Chris Ryan · Rating 4 out of 5]

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 · Rating 4 out of 5]

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

The discrete part is better in this one.