The Arithmetic of Dynamical Systems - Couverture rigide

Silverman, Joseph H.

Couverture rigide

ISBN 10 : 0387699031 ISBN 13 : 9780387699035

Editeur : Springer-Verlag New York Inc., 2007

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0387699031
• ISBN 13: 9780387699035
• Reliure: Relié
• Nombre de pages: 527
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne