Reversibility in Dynamics and Group Theory

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.

Author: Anthony G. O'Farrell,Ian Short
Publisher: Cambridge University Press
Published: 05/28/2015
Pages: 294
Binding Type: Paperback
Weight: 0.95lbs
Size: 8.90h x 5.80w x 0.70d
ISBN: 9781107442887

About the Author
O'Farrell, Anthony G.: - 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.Short, Ian: - Ian Short is a lecturer in mathematics at the Open University. His research interests lie in dynamics and geometry.