Mendeley出力
＜図書＞
Partial differential equations
| 責任表示 | J. Wloka ; translated by C.B. and M.J. Thomas |
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| データ種別 | 図書 |
| 出版情報 | Cambridge ; New York : Cambridge University Press , 1987 |
| 本文言語 | 英語 |
| 大きさ | xi, 518 p. : ill. ; 24 cm |
| 概要 | This book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functional analysis: more advanced topics such as Fredhol... operators, the Schauder fixed point theorem and Bochner integrals are introduced when needed, and the book begins by introducing the necessary material from the theory of distributions and Sobolev spaces. Using such techniques, the author presents different methods available for solving elliptic, parabolic and hyperbolic equations. He also considers the difference process for the practical solution of a partial differential equation, emphasising that it is possible to solve them numerically by simple methods. Many examples and exercises are provided throughout, and care is taken to explain difficult points. Advanced undergraduates and graduate students will appreciate this self-contained and practical introduction. This book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functional analysis: more advanced topics such as Fredholm operators, the Schauder fixed point theorem and Bochner integrals are introduced when needed, and the book begins by introducing the necessary material from the theory of distributions and Sobolev spaces. Using such techniques, the author presents different methods available for solving elliptic, parabolic and hyperbolic equations. He also considers the difference process for the practical solution of a partial differential equation, emphasising that it is possible to solve them numerically by simple methods. Many examples and exercises are provided throughout, and care is taken to explain difficult points. Advanced undergraduates and graduate students will appreciate this self-contained and practical introduction. 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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: paperback | 理系図 自動書庫 | 104/WLO | 1987 |
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068252187003265 |
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書誌詳細
| 別書名 | 原タイトル:Partielle Differentialgleichungen |
|---|---|
| 一般注記 | Includes index Includes bibliographical references (p. [511]-514) |
| 著者標目 | *Wloka, Joseph, 1929- Thomas, Charles Benedict Thomas, M. J. |
| 件 名 | LCSH:Differential equations, Partial |
| 分 類 | LCC:QA374 DC19:515.3/53 |
| 書誌ID | 1001064414 |
| ISBN | 0521259142 |
| NCID | BA00552328 |
| 巻冊次 | : hard covers ; ISBN:0521259142 : paperback ; ISBN:0521277590 |
| 登録日 | 2009.09.17 |
| 更新日 | 2009.09.17 |