| 书目名称 | Geometry of Continued Fractions | | 编辑 | Oleg Karpenkov | | 视频video | | | 概述 | New approach to the geometry of numbers, very visual and algorithmic.Numerous illustrations and examples.Problems for each chapter.Includes supplementary material: | | 丛书名称 | Algorithms and Computation in Mathematics | | 图书封面 |  | | 描述 | .Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry.. .The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.. | | 出版日期 | Textbook 20131st edition | | 关键词 | algebraic irrationalities; continued fractions; generalized continued fractions; integer trigonometry; u | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-39368-6 | | isbn_ebook | 978-3-642-39368-6Series ISSN 1431-1550 | | issn_series | 1431-1550 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 18:44:29
