Algebraic Theory of Quadratic Numbers
- 種類:
- 電子ブック
- 責任表示:
- by Mak Trifković
- 出版情報:
- New York, NY : Springer New York : Imprint: Springer, 2013
- 著者名:
- シリーズ名:
- Universitext ;
- ISBN:
- 9781461477174 [1461477174]
- 注記:
- 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
- ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
類似資料:
|
Springer Science+Business Media, Inc. |
Springer-Verlag GmbH. |
|
Birkhäuser Boston |
Springer International Publishing : Imprint: Springer |
|
Springer New York : Imprint: Springer |
Springer Science+Business Media, LLC |
|
Springer Berlin Heidelberg : Imprint: Springer |
Springer Science+Business Media, Inc. |
|
Birkhäuser Boston |
Springer India : Imprint: Springer |
|
Springer Japan : Imprint: Springer |
Anthony W. Knapp |
