Convex Analysis : : (PMS-28) / / Ralph Tyrell Rockafellar.
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 optimization problems. Rockafellar's theory differs from classical analysis in that differe...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1970 |
Year of Publication: | 2015 |
Language: | English |
Series: | Princeton Landmarks in Mathematics and Physics ;
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Physical Description: | 1 online resource (472 p.) |
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Rockafellar, Ralph Tyrell, author. aut http://id.loc.gov/vocabulary/relators/aut Convex Analysis : (PMS-28) / Ralph Tyrell Rockafellar. Princeton, NJ : Princeton University Press, [2015] ©1970 1 online resource (472 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Landmarks in Mathematics and Physics ; 36 Frontmatter -- Preface -- Contents -- Introductory Remarks: A Guide Jar the Reader -- Part I. Basic Concepts -- Part II. Topological Properties -- Part III. Duality Correspondences -- Part IV. Representation and Inequalities -- Part V. Differential Theory -- Part VI. Constrained Extremum Problems -- Part VII. Saddle-Functions and Minimax Theory -- Part VIII. Convex Algebra -- Comments and References -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 optimization 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Convex domains. Mathematical analysis. MATHEMATICS / Optimization. bisacsh Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691015866 https://doi.org/10.1515/9781400873173 https://www.degruyter.com/isbn/9781400873173 Cover https://www.degruyter.com/document/cover/isbn/9781400873173/original |
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English |
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Rockafellar, Ralph Tyrell, Rockafellar, Ralph Tyrell, |
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Rockafellar, Ralph Tyrell, Rockafellar, Ralph Tyrell, Convex Analysis : (PMS-28) / Princeton Landmarks in Mathematics and Physics ; Frontmatter -- Preface -- Contents -- Introductory Remarks: A Guide Jar the Reader -- Part I. Basic Concepts -- Part II. Topological Properties -- Part III. Duality Correspondences -- Part IV. Representation and Inequalities -- Part V. Differential Theory -- Part VI. Constrained Extremum Problems -- Part VII. Saddle-Functions and Minimax Theory -- Part VIII. Convex Algebra -- Comments and References -- Bibliography -- Index |
author_facet |
Rockafellar, Ralph Tyrell, Rockafellar, Ralph Tyrell, |
author_variant |
r t r rt rtr r t r rt rtr |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Rockafellar, Ralph Tyrell, |
title |
Convex Analysis : (PMS-28) / |
title_sub |
(PMS-28) / |
title_full |
Convex Analysis : (PMS-28) / Ralph Tyrell Rockafellar. |
title_fullStr |
Convex Analysis : (PMS-28) / Ralph Tyrell Rockafellar. |
title_full_unstemmed |
Convex Analysis : (PMS-28) / Ralph Tyrell Rockafellar. |
title_auth |
Convex Analysis : (PMS-28) / |
title_alt |
Frontmatter -- Preface -- Contents -- Introductory Remarks: A Guide Jar the Reader -- Part I. Basic Concepts -- Part II. Topological Properties -- Part III. Duality Correspondences -- Part IV. Representation and Inequalities -- Part V. Differential Theory -- Part VI. Constrained Extremum Problems -- Part VII. Saddle-Functions and Minimax Theory -- Part VIII. Convex Algebra -- Comments and References -- Bibliography -- Index |
title_new |
Convex Analysis : |
title_sort |
convex analysis : (pms-28) / |
series |
Princeton Landmarks in Mathematics and Physics ; |
series2 |
Princeton Landmarks in Mathematics and Physics ; |
publisher |
Princeton University Press, |
publishDate |
2015 |
physical |
1 online resource (472 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- Introductory Remarks: A Guide Jar the Reader -- Part I. Basic Concepts -- Part II. Topological Properties -- Part III. Duality Correspondences -- Part IV. Representation and Inequalities -- Part V. Differential Theory -- Part VI. Constrained Extremum Problems -- Part VII. Saddle-Functions and Minimax Theory -- Part VIII. Convex Algebra -- Comments and References -- Bibliography -- Index |
isbn |
9781400873173 9783110501063 9783110442496 9780691015866 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA300 ǂB R573 1970EB |
callnumber-sort |
QA 3300 _B R573 41970EB |
url |
https://doi.org/10.1515/9781400873173 https://www.degruyter.com/isbn/9781400873173 https://www.degruyter.com/document/cover/isbn/9781400873173/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
517 - [Unassigned] |
dewey-full |
517/.52 |
dewey-sort |
3517 252 |
dewey-raw |
517/.52 |
dewey-search |
517/.52 |
doi_str_mv |
10.1515/9781400873173 |
oclc_num |
908039440 |
work_keys_str_mv |
AT rockafellarralphtyrell convexanalysispms28 |
status_str |
n |
ids_txt_mv |
(DE-B1597)459759 (OCoLC)908039440 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Convex Analysis : (PMS-28) / |
container_title |
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
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1770176736491732992 |
fullrecord |
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