Introduction to Dynamical Systems
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Product details:
- Publisher Cambridge University Press
- Date of Publication 14 October 2002
- ISBN 9780521808415
- Binding Hardback
- No. of pages256 pages
- Size 236x159x22 mm
- Weight 530 g
- Language English
- Illustrations 35 b/w illus. 305 exercises 0
Categories
Short description:
A broad introduction, perfect for a one-year graduate course. Includes examples to motivate the theory and some remarkable applications.
MoreLong description:
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 such areas as number theory, data storage, and Internet search engines. This book grew out of lecture notes from the graduate dynamical systems course at the University of Maryland, College Park, and reflects not only the tastes of the authors, but also to some extent the collective opinion of the Dynamics Group at the University of Maryland, which includes experts in virtually every major area of dynamical systems.
'... an ideal choice for a graduate course on dynamical systems ... warmly recommended ...' Acta Scientiarum Mathematicarum
Table of Contents:
Introduction; 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; Bibliography; Index.
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