Introduction to Dynamical Systems

Description

Publisher: Cambridge University Press; 1 edition
Language: English
ISBN: 0521808413
Paperback: 252 pages
Data: October 14, 2002
Format: DJVU
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 areas such as number theory, data storage, and internet search engines.



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