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＜図書＞
Convex analysis
| 責任表示 | by R. Tyrrell Rockafellar |
|---|---|
| シリーズ | Princeton mathematical series ; 28 |
| データ種別 | 図書 |
| 出版情報 | Princeton : Princeton University Press , 1970 |
| 本文言語 | 英語 |
| 大きさ | xviii, 451 p. ; 24 cm |
| 概要 | Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of o...timization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions. This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading. This book should remain for some years as the standard reference for anyone interested in convex analysis. J. D. Pryce, Edinburgh Mathematical Society 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6988813 |
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 | 413.58/R 57/1 | 1970 |
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068172181011191 |
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中央図 自動書庫 | 417/R 57/2 | 1970 |
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068172187016768 |
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理系図3F 数理独自 | ROCK/10/1 | 1970 |
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068222480011151 |
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理系図 自動書庫 | 413.5/R 57 | 1970 |
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022232000014442 |
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理系図 自動書庫 | 104/ROC | 1970 |
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027232003193918 |
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芸工図 2F 書架 | 413/R57/a | 1972 |
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072032177007727 |
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書誌詳細
| 一般注記 | Bibliography: p. 433-446 Includes index |
|---|---|
| 著者標目 | *Rockafellar, R. Tyrrell, 1935- |
| 件 名 | LCSH:Mathematical analysis LCSH:Convex domains NDLSH:凸関数 |
| 分 類 | LCC:QA300 DC:517/.52 NDC8:413.5 |
| 書誌ID | 1000506143 |
| ISBN | 0691080690 |
| NCID | BA00315730 |
| 巻冊次 | ISBN:0691080690 |
| 登録日 | 2009.09.14 |
| 更新日 | 2009.09.16 |