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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
出版者 Princeton : Princeton University Press
出版年 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

所蔵情報


中央図 自動書庫 068172181011191 413.58/R 57/1 1970

中央図 自動書庫 068172187016768 417/R 57/2 1970

理系図3F 数理独自 068222480011151 ROCK/10/1 1970

理系図 自動書庫 022232000014442 413.5/R 57 1970

理系図 自動書庫 027232003193918 104/ROC 1970

芸工2階 072032177007727 413/R57/a 1972

芸工保存書庫 072032170011258 413/R57 1970

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

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