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portada The Arithmetic of Dynamical Systems
Type
Physical Book
Publisher
Year
2007
Language
English
Pages
511
Format
Hardcover
Weight
2
ISBN
0387699031
ISBN13
9780387699035
Edition No.
2007

The Arithmetic of Dynamical Systems

Joseph H. Silverman (Author) · Springer · Hardcover

The Arithmetic of Dynamical Systems - Joseph H. Silverman

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Synopsis "The Arithmetic of Dynamical Systems"

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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