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Reversibility in Dynamics and Group Theory: London Mathematical Society Lecture Note Series, cartea 416

Autor Anthony G. O'Farrell, Ian Short
en Limba Engleză Paperback – 27 mai 2015
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.
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Specificații

ISBN-13: 9781107442887
ISBN-10: 1107442885
Pagini: 294
Ilustrații: 38 b/w illus. 11 tables
Dimensiuni: 152 x 229 x 16 mm
Greutate: 0.43 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:New York, United States

Cuprins

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.

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Descriere

An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.