Mendeley出力
＜図書＞
Exterior differential systems and Euler-Lagrange partial differential equations
| 責任表示 | Robert Bryant, Phillip Griffiths, and Daniel Grossman |
|---|---|
| シリーズ | Chicago lectures in mathematics |
| データ種別 | 図書 |
| 出版情報 | Chicago : University of Chicago Press , 2003 |
| 本文言語 | 英語 |
| 大きさ | vii, 213 p. ; 23 cm |
| 概要 | In Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, the authors further their ongoing development of a theory of the geometry of differential equations, focusing especi...lly on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the second variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis. Book jacket. In "Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis. 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 | BRYA/15/2 | 2003 |
|
023212003002956 |
|
書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Bryant, Robert L. Griffiths, Phillip, 1938- Grossman, Daniel Andrew |
| 件 名 | LCSH:Exterior differential systems LCSH:Lagrange equations |
| 分 類 | DC21:516.36 |
| 書誌ID | 1001395321 |
| ISBN | 0226077942 |
| NCID | BA62151916 |
| 巻冊次 | : pbk ; ISBN:0226077942 ISBN:0226077934 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |