Mendeley出力
＜図書＞
Topics in commutative ring theory
| 責任表示 | John J. Watkins |
|---|---|
| データ種別 | 図書 |
| 出版情報 | Princeton, N.J. : Princeton University Press , c2007 |
| 本文言語 | 英語 |
| 大きさ | x, 215 p. ; 27 cm |
| 概要 | Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstr...ct algebra. Commutative ring theory arose more than a century ago to address questions in geometry and number theory. A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients-with two operations, addition and multiplication. Starting from this simple definition, John Watkins guides readers from basic concepts to Noetherian rings-one of the most important classes of commutative rings-and beyond to the frontiers of current research in the field. Each chapter includes problems that encourage active reading-routine exercises as well as problems that build technical skills and reinforce new concepts. The final chapter is devoted to new computational techniques now available through computers. Careful to avoid intimidating theorems and proofs whenever possible, Watkins emphasizes the historical roots of the subject, like the role of commutative rings in Fermat's last theorem. He leads readers into unexpected territory with discussions on rings of continuous functions and the set-theoretic foundations of mathematics.続きを見る |
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 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
理系図3F 数理独自 | WATK/20/1 | 2007 |
|
023212007002707 |
|
書誌詳細
| 著者標目 | *Watkins, John J. |
|---|---|
| 件 名 | LCSH:Commutative rings LCSH:Rings (Algebra) |
| 分 類 | LCC:QA251.3 DC22:512.44 |
| 書誌ID | 1001243170 |
| ISBN | 9780691127484 |
| NCID | BA82524765 |
| 巻冊次 | ISBN:9780691127484 ; XISBN:0691127484 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |