The arithmetic of dynamical systems

＜図書＞
The arithmetic of dynamical systems

責任表示	Joseph H. Silverman
シリーズ	Graduate texts in mathematics ; 241
データ種別	図書
出版情報	New York : Springer , c2007
本文言語	英語
大きさ	ix, 511 p. : ill. ; 25 cm
概要	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. As is typical in any subject combining Diophantine problems and geometry, a fundamental goal is to describe arithmetic properties, at least qualitatively, in terms of underlying geometric structures.続きを見る
目次	An introduction to classical dynamics Dynamics over local fields : good reduction Dynamics over global fields Families of dynamical systems Dynamics over local fields : bad reduction Dynamics associated to algebraic groups Dynamics in dimension greater than one.
電子版へのリンク	https://hdl.handle.net/2324/7001127

一般注記	Bibliography: p. 451-471 Includes index
著者標目	*Silverman, Joseph H., 1955-
分　類	SG:510
書誌ID	1001283055
ISBN	9780387699035
NCID	BA82401572
巻冊次	ISBN:9780387699035
NBN	07,N08,105
登録日	2009.09.18
更新日	2017.02.18