A First Course in Dynamics
with a Panorama of Recent Developments
$76.99 (X)
- Authors:
- Boris Hasselblatt, Tufts University, Massachusetts
- Anatole Katok, Pennsylvania State University
- Date Published: June 2003
- availability: Available
- format: Paperback
- isbn: 9780521587501
$
76.99
(X)
Paperback
-
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.
Read more- Authors are top experts in the area
- Many exercises and examples, including computer exercises
- Mathematically rigorous but with emphasis on a broad range of applications
Reviews & endorsements
"I highly recommend this book for an advanced undergraduate course in dynamical systems." Mathematical Reviews
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2003
- format: Paperback
- isbn: 9780521587501
- length: 436 pages
- dimensions: 251 x 177 x 20 mm
- weight: 0.758kg
- contains: 140 b/w illus.
- availability: Available
Table of Contents
1. What is a dynamical system?
Part I. Simple Behavior in Dynamical Systems:
2. Systems with stable asymptotic behavior
3. Linear maps and linear differential equations
Part II. Complicated Behavior in Dynamical Systems:
4. Quasiperiodicity and uniform distribution on the circle
5. Quasiperiodicity and uniform distribution in higher dimension
6. Conservative systems
7. Simple systems with complicated orbit structure
8. Entropy and chaos
9. Simple dynamics as a tool
Part III. Panorama of Dynamical Systems:
10. Hyperbolic dynamics
11. Quadratic maps
12. Homoclinic tangles
13. Strange attractors
14. Diophantine approximation and applications of dynamics to number theory
15. Variational methods, twist maps, and closed geodesics
Appendix
Solutions.Instructors have used or reviewed this title for the following courses
- Dynamical Systems in Economics
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
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.
×