E-Book, Englisch, Band 241, 511 Seiten
Silverman The Arithmetic of Dynamical Systems
1. Auflage 2010
ISBN: 978-0-387-69904-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 241, 511 Seiten
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-69904-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.




