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Dynamics in One Dimension (Lecture Notes in Mathematics) Paperback – 22 Feb 2009


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Product details

  • Paperback: 260 pages
  • Publisher: Springer; 1. Aufl. 1992. Nachdruck 1995 edition (22 Feb. 2009)
  • Language: English
  • ISBN-10: 3540553096
  • ISBN-13: 978-3540553090
  • Product Dimensions: 15.5 x 1.5 x 23.5 cm
  • Average Customer Review: Be the first to review this item
  • Amazon Bestsellers Rank: 8,709,758 in Books (See Top 100 in Books)
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Product description

Synopsis

The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.


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