Differential Equations – Morris W. Hirsch – 2nd Edition

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 and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this . The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and linear algebra.

The authors are tops in the field of advanced mathematics, including Steve 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 to differential equations and dynamical systems
* Includes bifurcation theory throughout
* Contains numerous explorations for students to embark upon


* New contemporary 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

1. First Order Equations
2. Planar Linear Systems
3. Phase Portraits
4. Classification of Planar Systems
5. Higher Dimensional Linear Algebra
6. Higher Dimensional Linear Systems
7. Fundamental Theory
8. Equilibria in Nonlinear Systems
9. Nonlinear Techniques
10. Closed Orbits and Limit Sets
11. Applications in Biology
12. Applications in Theory
13. Applications in Mechanics
14. The Lorenz System
15. Applications in Other Fields
16. Homoclinic Phenomana
17. Discrete Dynamical Systems
18. Higher Dimensional Discrete Systems.

Title: Differential Equations: Dynamical Systems and An Introduction to Chaos
Author: Morris W. Hirsch / Stephen Smale
Edition: 2nd Edition
ISBN: 0123497035 | 9780123497031
Type: eBook
Language: English
Differential Equations

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