Mendeley出力
＜図書＞
Introduction to numerical linear algebra and optimisation
| 責任表示 | Philippe G. Ciarlet, with the assistance of Bernadette Miara and Jean-Marie Thomas for the exercises ; translated by A. Buttigieg |
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| シリーズ | Cambridge texts in applied mathematics |
| データ種別 | 図書 |
| 出版情報 | Cambridge [Cambridgeshire] : Cambridge University Press , 1989 |
| 本文言語 | 英語 |
| 大きさ | xiv, 436 p. : ill. ; 24 cm |
| 概要 | Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with th... basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading. Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with the basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading.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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中央図 自動書庫 | 411.3/C 71/1 | 1986 |
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068172189018637 |
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理系図1F 開架 | 411.3/C 71 | 1989 |
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026211996000056 |
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理系図3F 数理独自 | CIAR/10/4 | 1989 |
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068222189004848 |
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理系図3F 数理独自 | CIAR/10/4A | 1989 |
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068222189008303 |
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書誌詳細
| 別書名 | 原タイトル:Introduction à l'analyse numérique matricielle et à l'optimisation 原タイトル:Exercises d'analyse numérique matricielle et d'optimisation 異なりアクセスタイトル:Numerical linear algebra and optimization |
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| 一般注記 | Translation of: Introduction à l'analyse numérique matricielle et à l'optimisation and Exercises d'analyse numérique matricielle et d'optimisation Includes index |
| 著者標目 | *Ciarlet, Philippe G. Thomas, Jean-Marie Miara, Bernadette |
| 件 名 | LCSH:Algebras, Linear LCSH:Numerical calculations LCSH:Mathematical optimization |
| 分 類 | LCC:QA184 DC19:512/.5 NDC7:411.4 NDC8:411.3 |
| 書誌ID | 1000129679 |
| ISBN | 0521327881 |
| NCID | BA07253223 |
| 巻冊次 | ISBN:0521327881 : pbk. ; ISBN:0521339847 |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.09.17 |