Introduction to dynamical systems

著者

    • Brin, Michael
    • Stuck, Garrett

書誌事項

Introduction to dynamical systems

Michael Brin, Garrett Stuck

Cambridge University Press, 2002

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注記

Bibliography: p. [225]-229

Includes index

内容説明・目次

内容説明

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.

目次

  • 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.

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA59138603
  • ISBN
    • 0521808413
  • LCCN
    2002022281
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge ; New York
  • ページ数/冊数
    xii, 240 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
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