Introduction to Dynamical Systems - Softcover

Brin, Michael

Softcover

ISBN 10: 1107538947 ISBN 13: 9781107538948

Publisher: Cambridge University Press, 2015

Synopsis

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.

About this title

Review

'... an ideal choice for a graduate course on dynamical systems ... warmly recommended ...' Acta Scientiarum Mathematicarum

'... 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.' Choice

'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

Book Description

This introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one, the authors use examples to motivate, clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory, data storage, and Internet search engines.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2015
• ISBN 10: 1107538947
• ISBN 13: 9781107538948
• Binding: Paperback
• Language: English
• Number of pages: 260