Mendeley出力
＜図書＞
Linear algebra done right
| 責任表示 | Sheldon Axler |
|---|---|
| シリーズ | Undergraduate texts in mathematics |
| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | New York : Springer , c1997 |
| 本文言語 | 英語 |
| 大きさ | xv, 251 p. : ill. ; 25 cm |
| 概要 | This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goa... of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents--without having defined determinants--a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite-dimensional spectral theorem. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text. This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents--without having defined determinants--a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite-dimensional spectral theorem. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text. 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 |
|---|---|---|---|---|---|---|---|---|---|---|
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理系図1F 開架 | 411.3/A 97 | 1997 |
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031212014000206 |
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理系図3F 数理独自 | AXLE/10/2a | 1997 |
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023211997012100 |
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書誌詳細
| 一般注記 | Includes indexes |
|---|---|
| 著者標目 | *Axler, Sheldon Jay |
| 件 名 | LCSH:Algebras, Linear |
| 分 類 | LCC:QA184 DC21:512/.5 NDLC:MA61 |
| 書誌ID | 1001391629 |
| ISBN | 0387982590 |
| NCID | BA33116321 |
| 巻冊次 | ISBN:0387982590 : pbk ; ISBN:0387982582 |
| 登録日 | 2009.11.02 |
| 更新日 | 2014.07.24 |