This book provides a broad introduction to the subject of dynamical systems, suitable for a one or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to areas such as number theory, data storage, and internet search engines.Read more
- Broad-ranging graduate text, covering a variety of viewpoints
- Perfectly paced for a one-year course
- Includes exciting new applications to areas such as number theory, data storage, and Internet search engines
Reviews & endorsements
"… an ideal choice for a graduate course on dynamical systems … warmly recommended …"
Acta Scientiarum MathematicarumSee more reviews
"… exceptionally well written … You should consider adopting this wonderful text for your next graduate course on the pure mathematics of the modern theory of dynamical systems."
Carmen Chicone, SIAM Review
"… despite the breadth, one finds here major results rigorously treated and substantial applications. By itself, the clean, accessible exposition of the amazing Sharkovsky theorem would justify the acquisition of this book … Highly recommended."
"While the pace is fast and the book is very concise, the organization and selection of topics has been considered carefully, and the writing is strong enough to support the speedy treatment … It certainly does give a notion of the scope of dynamical systems in a way that few other single books do."
Bill Satzer, MAA Reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: February 2016
- format: Paperback
- isbn: 9781107538948
- length: 256 pages
- dimensions: 228 x 152 x 16 mm
- weight: 0.4kg
- contains: 35 b/w illus. 305 exercises
- availability: In stock
Table of Contents
1. Examples and basic concepts
2. Topological dynamics
3. Symbolic dynamics
4. Ergodic theory
5. Hyperbolic dynamics
6. Ergodicity of Anosov diffeomorphisms
7. Low-dimensional dynamics
8. Complex dynamics
9. Measure-theoretic entropy
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×