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Introduction to dynamical systems / Michael Brin, Garrett Stuck.

By: Contributor(s): Material type: TextTextPublication details: UK : Cambridge University Press, c2002.Edition: Paperback edition with correctionsDescription: xii, 274 pages : illusrations ; 5.98(w) x 8.98(h) x 0.63(d)ISBN:
  • 9781107538948
  • 1107538947
Subject(s): DDC classification:
  • 515.39 23 BRI
LOC classification:
  • QA614.8 .B75 2015
Online resources:
Contents:
Product Details ISBN-13: 9781107538948 Publisher: Cambridge University Press Publication date: 11/05/2015 Edition description: New Edition Pages: 256 Product dimensions: 5.98(w) x 8.98(h) x 0.63(d) 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.
Summary: 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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Item type Current library Collection Call number Status Date due Barcode
Project book Project book CUTN Central Library Non-fiction 515.39 BRI (Browse shelf(Opens below)) Checked out to Renuka Devi V (20019T) 31/01/2024 48880

Product Details
ISBN-13: 9781107538948
Publisher: Cambridge University Press
Publication date: 11/05/2015
Edition description: New Edition
Pages: 256
Product dimensions: 5.98(w) x 8.98(h) x 0.63(d)


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.

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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