Reversibility in Dynamics and Group Theory (Paperback) (ISBN-13: 9781107442887)

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
ISBN-10: 1107442885
ISBN-13: 9781107442887
Publisher: Cambridge University Press
Language: English
Published: 05/28/2015
Pages: 294
Format: Paperback
Weight: 0.95lbs
Size: 8.90h x 5.80w x 0.70d