| 书目名称 | The Theory of Classical Valuations |
| 编辑 | Paulo Ribenboim |
| 视频video | |
| 概述 | Area of great interest where there is no book to serve as a first introduction to the topic * Fully up-to-date as the author draws upon his long-standing experience * Ribenboim has written other succe |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat‘s last theorem, Kummer introduced "local" methods. They are concerned with divisibility of "ideal numbers" of cyclotomic fields by lambda = 1 - psi where psi is a primitive .p.-th root of 1 (p any odd prime). Henssel developed Kummer‘s ideas, constructed the field of .p.-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the .p.-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory and collectively, these topics form the primary focus of this book. |
| 出版日期 | Book 1999 |
| 关键词 | Algebra; Division; Finite; Topology; commutative property; function; fundamental theorem; theorem |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-0551-7 |
| isbn_softcover | 978-1-4612-6814-7 |
| isbn_ebook | 978-1-4612-0551-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer Science+Business Media New York 1999 |
发表于 2025-3-21 17:49:19
