Number Theory and Dynamical Systems

Dodson, M. M. & J. A. G. Vickers

ISBN 10: 0521369193 / ISBN 13: 9780521369190

Published by Cambridge University Press, 1989

About this Item

Text clean and tight; London Mathematical Society Lecture Note Series 134; 0.6 x 8.9 x 5.9 Inches; 184 pages.

Seller Inventory # 223401

Bibliographic Details

• Title: Number Theory and Dynamical Systems
• Publisher: Cambridge University Press
• Publication Date: 1989
• Language: English
• ISBN 10: 0521369193
• ISBN 13: 9780521369190
• Binding: Paperback
• Condition: Very Good

About this title

Synopsis

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.

Book Description

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.