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Reversibility in Dynamics and Group Theory


Part of London Mathematical Society Lecture Note Series

  • Date Published: May 2015
  • availability: Available
  • format: Paperback
  • isbn: 9781107442887

£ 51.99

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About the Authors
  • Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above.

    • The subject matter crosses many mathematical disciplines
    • Numerous open problems are presented that will be of interest to PhD students
    • Accessible at the advanced undergraduate level and above
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    Product details

    • Date Published: May 2015
    • format: Paperback
    • isbn: 9781107442887
    • length: 294 pages
    • dimensions: 229 x 152 x 16 mm
    • weight: 0.43kg
    • contains: 38 b/w illus. 11 tables
    • availability: Available
  • Table of Contents

    1. Origins
    2. Basic ideas
    3. Finite groups
    4. The classical groups
    5. Compact groups
    6. Isometry groups
    7. Groups of integer matrices
    8. Real homeomorphisms
    9. Circle homeomorphisms
    10. Formal power series
    11. Real diffeomorphisms
    12. Biholomorphic germs
    List of frequently used symbols
    Index of names
    Subject index.

  • Authors

    Anthony G. O'Farrell, National University of Ireland, Maynooth
    Anthony G. O'Farrell studied at Brown University and worked at the University of California, Los Angeles, then occupied the Chair of Mathematics at NUI, Maynooth for 37 years, with visiting positions in Britain, France, Spain, Israel and the USA. He is a member of the Royal Irish Academy, and has served as President of the Irish Mathematical Society. He has published four books and over 100 papers.

    Ian Short, The Open University, Milton Keynes
    Ian Short is a lecturer in mathematics at the Open University. His research interests lie in dynamics and geometry.

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