
Reversibility in Dynamics and Group Theory
Cambridge University Press
Published on 28. May 2015
Book
Paperback/Softback
294 pages
978-1-107-44288-7 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises; 11 Tables, black and white; 38 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
429 gr
ISBN-13
978-1-107-44288-7 (9781107442887)
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Schweitzer Classification
Other editions
Additional editions

Anthony G. O'Farrell | Ian Short
Reversibility in Dynamics and Group Theory
E-Book
05/2015
Cambridge University Press
€52.99
Available for download

Anthony G. O'Farrell
Reversibility in Dynamics and Group Theory
E-Book
05/2015
Cambridge University Press
€44.49
Available for download
Persons
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 is a lecturer in mathematics at the Open University. His research interests lie in dynamics and geometry.
Author
National University of Ireland, Maynooth
The Open University, Milton Keynes
Content
Preface; 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; References; List of frequently used symbols; Index of names; Subject index.