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  3. Topics from One-Dimensional Dynamics
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2012
      June 2004
      ISBN:
      9780511617171
      9780521838962
      9780521547666
      DOI:
      https://doi.org/10.1017/CBO9780511617171
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.537kg, 312 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.425kg, 312 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis, Geometry and Topology
      Series:
      London Mathematical Society Student Texts (62)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis, Geometry and Topology
    Series:
    London Mathematical Society Student Texts (62)
    Information

    Book description

    One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

    Reviews

    ‘… particularly useful for students/beginners in the field. Due to an extensive bibliography, it will also serve as a very good reference book.‘

    Source: European Mathematical Society Newsletter

    'This book is intended as a text for an advanced undergraduate or beginning graduate students. As well as providing a brief account on the fundamental concepts of analysis and dynamical systems (Chapters 1-4 and 7-8), and a thorough explanation of topological entropy for piece-wise monotone interval maps (Chapter 9, sometimes with original proofs), the book contains substantial parts on unimodal interval maps and one chapter on complex quadratic polynomials. The quality of this exposition is very good: the material is organized so that all proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples and exercises.'

    Source: Zentralblatt MATH

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