株式会社極東書店トップ ＞ 商品一覧 ＞ Arithmetic Differential Operators over the p-adic Integers.
商品詳細
Arithmetic Differential Operators over the p-adic Integers.
・ISBN 978-1-107-67414-1 paper GB£ 59.00
￥18,691.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-139-08466-6
| 著者・編者 | Ralph, Claire C. / Simanca, S. R., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series 396 |
| 出版社 | (Cambridge U. Pr., UK) |
| 出版年月 | 2012 |
| ページ数 | 139 pp. |
| 言語 | ENG |
| ニュース番号 | ＜000-93172＞ |
解説
The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.