<電子ブック>
Algebraic Theory of Quadratic Numbers / by Mak Trifković
(Universitext. ISSN:21916675)
版 | 1st ed. 2013. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2013 |
大きさ | XI, 197 p. 29 illus : online resource |
著者標目 | *Trifković, Mak author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Algebra FREE:Number Theory FREE:Algebra |
一般注記 | 1 Examples -- 2 A Crash Course in Ring Theory -- 3 Lattices -- 4 Arithmetic in Q[√D] -- 5 The Ideal Class Group and Geometry of Numbers -- 6 Continued Fractions -- 7 Quadratic Forms -- Appendix -- Hints to Selected Exercises -- Index By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory HTTP:URL=https://doi.org/10.1007/978-1-4614-7717-4 |
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 | 9781461477174 |
|
電子リソース |
|
EB00208839 |
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 | 4000119520 |
ISBN | 9781461477174 |
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