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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)
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ISBN
:
9780387699035
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Publisher
:
Springer
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Subject
:
Mathematics
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Binding
:
HARDCOVER
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Pages
:
527
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Year
:
2007
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8529.0
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8187.0
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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 rational and algebraic 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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