| 书目名称 | Cubic Fields with Geometry |
| 编辑 | Samuel A. Hambleton,Hugh C. Williams |
| 视频video | |
| 概述 | Provides an up-to-date compendium of results.Helps the reader to envision what is explained in the text.Introduces the reader to several tools and disciplines which are applicable in the study of cubi |
| 丛书名称 | CMS Books in Mathematics |
| 图书封面 |  |
| 描述 | The objective of this book is to provide tools for solving problems which involve cubic number fields. Many such problems can be considered geometrically; both in terms of the geometry of numbers and geometry of the associated cubic Diophantine equations that are similar in many ways to the Pell equation. With over 50 geometric diagrams, this book includes illustrations of many of these topics. The book may be thought of as a companion reference for those students of algebraic number theory who wish to find more examples, a collection of recent research results on cubic fields, an easy-to-understand source for learning about Voronoi’s unit algorithm and several classical results which are still relevant to the field, and a book which helps bridge a gap in understanding connections between algebraic geometry and number theory..The exposition includes numerous discussions on calculating with cubic fields including simple continued fractions of cubic irrational numbers, arithmetic using integer matrices, ideal class group computations, lattices over cubic fields, construction of cubic fields with a given discriminant, the search for elements of norm 1 of a cubic field with rational p |
| 出版日期 | Book 2018 |
| 关键词 | binary cubic forms; cubic fields; Voronoi‘s algorithm; geometry of numbers; continued fractions; fundamen |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-01404-9 |
| isbn_ebook | 978-3-030-01404-9Series ISSN 1613-5237 Series E-ISSN 2197-4152 |
| issn_series | 1613-5237 |
| copyright | Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 18:19:32
