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Number Theory and Dynamical Systems (Paperback)
Loot Price: R1,621
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Number Theory and Dynamical Systems (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 10 - 15 working days
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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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