Reversibility in Dynamics and Group Theory by Anthony G O'farrell

Reversibility in Dynamics and Group Theory by Anthony G O'farrell

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Zusammenfassung

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 Nicht verfügbar
ISBN 13 9781107442887
ISBN 10 1107442885
Titel Reversibility in Dynamics and Group Theory
Autor Anthony G O'farrell
Serie London Mathematical Society Lecture Note Series
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Cambridge University Press
Erscheinungsjahr 2015-05-28
Seitenanzahl 294
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar