| 書目名稱 | The Arithmetic of Dynamical Systems |
| 編輯 | Joseph H. Silverman |
| 視頻video | http://file.papertrans.cn/905/904545/904545.mp4 |
| 概述 | Provides an entry for graduate students into an active field of research.Each chapter includes exercises, examples, and figures.Will become a standard reference for researchers in the field.Contains a |
| 叢書名稱 | Graduate Texts in Mathematics |
| 圖書封面 |  |
| 描述 | This book is designed to provide a path for the reader into an amalgamation oftwo venerable areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating theorems and conjectures in the new subject of Arithmetic Dynamics may be viewed as the transposition ofclassical results in the theory ofDiophantine equations to the setting of discrete dynamical systems, especially to the iteration theory ofmaps on the projective line and other algebraic varieties. Although there is no precise dictionary connecting the two areas, the reader will gain a flavor of the correspondence from the following associations: Diophantine Equations Dynamical Systems rational and integral rational and integral points on varieties points in orbits torsion points on periodic and preperiodic abelian varieties points ofrational maps There are a variety of topics covered in this volume, but inevitably the choice reflects the author‘s tastes and interests. Many related areas that also fall under the heading ofarithmetic or algebraic dynamics have been omitted in order to keep the book to a manageable length. A brief list of some of these omitted topics may be found in the introduction. Online Reso |
| 出版日期 | Textbook 2007 |
| 關鍵詞 | Dimension; Diophantine approximation; Grad; algebraic geometry; algebraic group; dynamical systems; geomet |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-69904-2 |
| isbn_softcover | 978-1-4419-2417-9 |
| isbn_ebook | 978-0-387-69904-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2007 |
|Archiver|手機版|小黑屋|
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