Differential Equations, Dynamical Systems, and Linear Algebra

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

Book Overview

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the... This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0123495504
• ISBN13: 9780123495501
• Release Date: May 1974
• Publisher: Academic Press
• Length: 358 Pages
• Weight: 1.60 lbs.
• Dimensions: 1.1" x 6.6" x 9.5"

Customer Reviews

A valuable source

This book (the original version) has all the basics to introduce the future differential equations/dynamical systems researchers into the field. Written by authorities in the field (Hirsch and Smale,) this text offers a wide variety of topics, including linear systems, local and global stability theory for non-linear systems, and applications to physics and biology. As an added treat, the inclusion of basic linear algebra and operator theory makes this a rather self-contained work. The dedicated reader will not be disappointed - the material is well organised with sufficient level of detail, illustration, and exercises.

This is not a recipe book

I can see that this is not the book for you if you want to solve a particular differential equation. But in terms of understanding the field of dynamical systems, there is no rival. This book is a pleasure to read, for the first time I understood the importance and beauty of linear algebra. Academic Press says that this is their most successful mathematics text, and it is not hard to see why. I wish more texts were as clearly written and as beautiful to read.

Solid and basic book

This book is a classical in the subject. It will provide you with solid information even if you are an absolut beginner with proficiency only in undergraduate algebra, calculus.