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＜Book＞
Convex analysis
| Responsibility | by R. Tyrrell Rockafellar |
|---|---|
| Series | Princeton mathematical series ; 28 |
| Material Type | Book |
| Publisher | Princeton : Princeton University Press |
| Year | 1970 |
| Language | English |
| Size | xviii, 451 p. ; 24 cm |
| Abstract | 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 show more |
| Electronic Version | https://hdl.handle.net/2324/6988813 |
Holdings
| Status | Volume | Location | Call No. | Printed | Collection Name | Barcode No. | Comments | Reserve | Copy | Automatic archive |
|---|---|---|---|---|---|---|---|---|---|---|
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Central Library ASRS | 413.58/R 57/1 | 1970 |
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068172181011191 |
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Central Library ASRS | 417/R 57/2 | 1970 |
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068172187016768 |
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SciTech 3F Mathematical Books | ROCK/10/1 | 1970 |
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068222480011151 |
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【Out of order】SciTech Library ASRS | 413.5/R 57 | 1970 |
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022232000014442 |
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【Out of order】SciTech Library ASRS | 104/ROC | 1970 |
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027232003193918 |
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DESIGN LIB., 2F | 413/R57/a | 1972 |
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072032177007727 |
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Bibliographic details
| Notes | Bibliography: p. 433-446 Includes index |
|---|---|
| Authors | *Rockafellar, R. Tyrrell, 1935- |
| Subjects | LCSH:Mathematical analysis LCSH:Convex domains NDLSH:凸関数 |
| Classification | LCC:QA300 DC:517/.52 NDC8:413.5 |
| ID | 1000506143 |
| ISBN | 0691080690 |
| NCID | BA00315730 |
| Vol | ISBN:0691080690 |
| Created Date | 2009.09.14 |
| Modified Date | 2009.09.16 |