J H Silverman

(Author)

The Arithmetic of Dynamical Systems (2007)Hardcover - 2007, 6 June 2007

The Arithmetic of Dynamical Systems (2007)
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Part of Series
Graduate Texts in Mathematics
Print Length
511 pages
Language
English
Publisher
Springer
Date Published
6 Jun 2007
ISBN-10
0387699031
ISBN-13
9780387699035

Description

This book investigates the relatively new subject of Arithmetic Dynamics, which is the study of the number theoretic properties of algebraic numbers or points under repeated application of a polynomial or rational map. Classical discrete dynamics is the study of iteration of functions mapping the complex plane (or real line) to itself. Arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. The viewpoint of this book is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. As is typical in any subject combining Diophantine problems and geometry, an overarching theme is that at least qualitatively, the geometry determines the arithmetic.

Product Details

Author:
J H Silverman
Book Edition:
2007
Book Format:
Hardcover
Country of Origin:
US
Date Published:
6 June 2007
Dimensions:
23.52 x 16.23 x 2.9 cm
ISBN-10:
0387699031
ISBN-13:
9780387699035
Language:
English
Location:
New York, NY
Pages:
511
Publisher:
Weight:
825.54 gm

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