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＜図書＞
Separation of variables for partial differential equations : an eigenfunction approach
| 責任表示 | George Cain, Gunter H. Meyer |
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| シリーズ | Studies in advanced mathematics |
| データ種別 | 図書 |
| 出版情報 | Boca Raton, FL : Chapman & Hall/CRC , c2006 |
| 本文言語 | 英語 |
| 大きさ | xv, 281 p. : ill. ; 25 cm |
| 概要 | Writing for advanced undergraduates, Cain and Meyer (both mathematics emeriti, Georgia Institute of Technology) introduce a computable separation of variables solutions as an analytic approximate solu...ion. They work through the notion of a general partial differential equation in two independent variables with a source term and subject to boundary and initial conditions. Using an eignefunction approach they give an algorithm for approximating and solving the problem and show applications and solutions to practical problems, covering such topics as potential, heat and wave equation, basic approximation theory, Sturm-Liouville problems, Fourier series, eigenfunction expansions for equations in two independent variables, the one-dimension diffusion equation, the one-dimensional wave equation, potential problems in the Plane, and multidimensional problems. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com) 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3F 数理独自 | CAIN/5/1 | 2006 |
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023212005006437 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
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| 著者標目 | *Cain, George L. Meyer, Gunter H. |
| 件 名 | LCSH:Separation of variables LCSH:Eigenfunctions |
| 分 類 | LCC:QA377 DC22:515/.353 |
| 書誌ID | 1001235986 |
| ISBN | 1584884207 |
| NCID | BA7488969X |
| 巻冊次 | ISBN:1584884207 ; XISBN:9781584884200 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |