Table of Contents

• Preface
• Chapter 1. Introduction
• Chapter 2. Initial value problems
• Chapter 3. Linear equations
• Chapter 4. Differential equations in the complex domain
• Chapter 5. Boundary value problems
• Chapter 6. Dynamical systems
• Chapter 7. Planar dynamical systems
• Chapter 8. Higher dimensional dynamical systems
• Chapter 9. Local behavior near fixed points
• Chapter 10. Discrete dynamical systems
• Chapter 11. Discrete dynamical systems in one dimension
• Chapter 12. Periodic solutions
• Chapter 13. Chaos in higher dimensional systems
• Bibliographical notes
• Bibliography
• Glossary of notation
• Index

About the Author

Gerald Teschl is at University of Vienna, Austria.

Reviews

It's easy to build all sorts of courses from this book — a classical one-semester course with a brief introduction to dynamical systems, a one-semester dynamical systems course with just brief coverage of the existence and linear systems theory, or a rather nice two-semester course based on most (if not all) of the material." - MAA Reviews