Reversibility in Dynamics and Group Theory
eBook - PDF

Reversibility in Dynamics and Group Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Reversibility in Dynamics and Group Theory

About this book

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.

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Yes, you can access Reversibility in Dynamics and Group Theory by Anthony G. O'Farrell,Ian Short in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Table of contents
  6. Preface
  7. 1 Origins
  8. 2 Basic ideas
  9. 3 Finite groups
  10. 4 The classical groups
  11. 5 Compact groups
  12. 6 Isometry groups
  13. 7 Groups of integer matrices
  14. 8 Real homeomorphisms
  15. 9 Circle homeomorphisms
  16. 10 Formal power series
  17. 11 Real diffeomorphisms
  18. 12 Biholomorphic germs
  19. References
  20. List of frequently used symbols
  21. Index of names
  22. Subject index