Reversibility in Dynamics and Group Theory
Reversibility in Dynamics and Group Theory
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Résumé
The powerful and far-reaching concept of reversibility is treated for the first time in book form. The authors establish basic principles of reversibility and demonstrate its impact in group theory, geometry, complex analysis and number theory, while describing open research problems throughout. Accessible at the advanced undergraduate level and above.
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Reversibility in Dynamics and Group Theory by Anthony G O'farrell
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.
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.
| SKU | Non disponible |
| ISBN 13 | 9781107442887 |
| ISBN 10 | 1107442885 |
| Titre | Reversibility in Dynamics and Group Theory |
| Auteur | Anthony G O'farrell |
| Série | London Mathematical Society Lecture Note Series |
| État | Non disponible |
| Type de reliure | Paperback |
| Éditeur | Cambridge University Press |
| Année de publication | 2015-05-28 |
| Nombre de pages | 294 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |