Number Theory and Dynamical Systems

Author:   M M Dodson (University of York) ,  J A Vickers
Publisher:   Cambridge University Press
ISBN:  

9781299404243


Publication Date:   10 May 2014
Format:   Undefined
Availability:   In stock   Availability explained
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Number Theory and Dynamical Systems


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This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems.

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Author:   M M Dodson (University of York) ,  J A Vickers
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
ISBN:  

9781299404243


ISBN 10:   1299404243
Publication Date:   10 May 2014
Audience:   General/trade ,  General
Format:   Undefined
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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