<電子ブック>
Algebraic Number Theory / by Frazer Jarvis
(Springer Undergraduate Mathematics Series. ISSN:21974144)
版 | 1st ed. 2014. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2014 |
本文言語 | 英語 |
大きさ | XIII, 292 p. 3 illus : online resource |
著者標目 | *Jarvis, Frazer author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Algebraic fields LCSH:Polynomials FREE:Number Theory FREE:Field Theory and Polynomials |
一般注記 | Unique factorisation in the natural numbers -- Number fields -- Fields, discriminants and integral bases -- Ideals -- Prime ideals and unique factorisation -- Imaginary quadratic fields -- Lattices and geometrical methods -- Other fields of small degree -- Cyclotomic fields and the Fermat equation -- Analytic methods -- The number field sieve The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic. Algebraic Number Theory takes the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform. The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the first time that the number field sieve has been considered in a textbook at this level HTTP:URL=https://doi.org/10.1007/978-3-319-07545-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319075457 |
|
電子リソース |
|
EB00233852 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000117065 |
ISBN | 9783319075457 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降