Introduction to Dynamical Systems by Michael BrinIntroduction to Dynamical Systems by Michael Brin

Introduction to Dynamical Systems

byMichael Brin, Garrett Stuck

Hardcover | October 14, 2002

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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.
Title:Introduction to Dynamical SystemsFormat:HardcoverDimensions:256 pages, 8.98 × 5.98 × 0.75 inPublished:October 14, 2002Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521808413

ISBN - 13:9780521808415


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; Index.

Editorial Reviews

"...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." Choice