The Arithmetic of Dynamical Systems
Author | : J.H. Silverman |
Publisher | : Springer Science & Business Media |
Total Pages | : 518 |
Release | : 2007-06-06 |
ISBN-10 | : 9780387699035 |
ISBN-13 | : 0387699031 |
Rating | : 4/5 (35 Downloads) |
Download or read book The Arithmetic of Dynamical Systems written by J.H. Silverman and published by Springer Science & Business Media. This book was released on 2007-06-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.