Mendeley出力
＜図書＞
Using algebraic geometry
| 責任表示 | David Cox, John Little, Donal O'Shea |
|---|---|
| シリーズ | Graduate texts in mathematics ; 185 |
| データ種別 | 図書 |
| 出版情報 | New York : Springer , c1998 |
| 本文言語 | 英語 |
| 大きさ | xii, 499 p. : ill. ; 24 cm |
| 概要 | In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and...practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gr"obner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gr"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gr"obner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gr"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. 続きを見る |
| 電子版へのリンク |
https://hdl.handle.net/2324/6882898 https://hdl.handle.net/2324/6949843 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
: hard | 理系図3F 数理独自 | COX,/10/3 | c1998 |
|
023211998007734 |
|
|||
|
|
: hard | 理系図3F 数理独自 | SER/GTM/185 | c1998 |
|
023211998007746 |
|
|||
|
|
: pbk | 理系図1F 開架 | 411.8/C 89 | c1998 |
|
003212002001200 |
|
書誌詳細
| 一般注記 | Includes bibliographical references (p. 468-475) and index |
|---|---|
| 著者標目 | *Cox, David A. Little, John B. O'Shea, Donal |
| 件 名 | LCSH:Geometry, Algebraic |
| 分 類 | LCC:QA564 DC21:516.3/5 NDC8:411.8 NDC8:410.7 |
| 書誌ID | 1000470125 |
| ISBN | 0387984879 |
| NCID | BA37505143 |
| 巻冊次 | : hard ; ISBN:0387984879 : pbk ; ISBN:0387984925 |
| 登録日 | 2009.09.14 |
| 更新日 | 2017.02.18 |