| 書目名稱 | Heights of Polynomials and Entropy in Algebraic Dynamics |
| 編輯 | Graham Everest,Thomas Ward |
| 視頻video | http://file.papertrans.cn/426/425331/425331.mp4 |
| 概述 | Uncovers new and interesting connections between number theory and dynamics -.The book covers many results of Mahler‘s measure of the height of a polynomial..A book has never before been published cov |
| 叢書名稱 | Universitext |
| 圖書封面 |  |
| 描述 | Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fer a rich supply of down-to-earth examples. Both have much to gain from each other in techniques and, more importantly, as a means for posing (and sometimes solving) outstanding problems. It is unlikely that new graduate students will have the time or the energy to master both. This book is in- tended as a starting point for either topic, but is in content no more than an invitation. We hope to show that a rich common vein of ideas permeates both areas, and hope that further exploration of this commonality will result. Central to both topics is a notion of complexity. In arithmetic geome- try ‘height‘ measures arithmetical complexity of points on varieties, while in dynamical systems ‘entropy‘ measures the orbit complexity of maps. The con- nections between these two notions in explicit examples lie at the heart of the book. The fundamental objects which appear in both settings are polynomi- als, so we are concerned principally with heights of polynomials. By working with polynomials rather than algebraic numbers we avoid local heights |
| 出版日期 | Textbook 1999 |
| 關(guān)鍵詞 | Prime; algebra; calculus; nonlinear dynamics; number theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4471-3898-3 |
| isbn_softcover | 978-1-84996-854-6 |
| isbn_ebook | 978-1-4471-3898-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer-Verlag London 1999 |
|Archiver|手機版|小黑屋|
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