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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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.
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Graduate Texts in Mathematics, 241 |
Release date | November 2010 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2007 |
Authors | J.H. Silverman |
Dimensions | 235 x 155 x 27mm (L x W x T) |
Format | Paperback |
Pages | 511 |
Edition | Softcover reprint of hardcover 1st ed. 2007 |
ISBN-13 | 978-1-4419-2417-9 |
Barcode | 9781441924179 |
Categories | |
LSN | 1-4419-2417-5 |