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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)

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ISBN-10:

1441924175

ISBN-13:

9781441924179

Author(s): Silverman, J.H.
Edition: Softcover reprint of hardcover 1st ed. 2007
Released: Nov 19, 2010
Publisher: Springer
Format: Paperback, 527 pages
Related ISBN: 9780387699035
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Description:

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number theoretic properties of points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.

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