Convex Analysis and Nonlinear Optimization: Theory and Examples
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schriftenreihe: | CMS Books in Mathematics / Ouvrages de mathématiques de la SMC
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica |
| Beschreibung: | 1 Online-Ressource (X, 273 p) |
| ISBN: | 9781475798593 9781475798616 |
| ISSN: | 1613-5237 |
| DOI: | 10.1007/978-1-4757-9859-3 |
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| 500 | |a Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica | ||
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Datensatz im Suchindex
| _version_ | 1804153095117078528 |
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| any_adam_object | |
| author | Borwein, Jonathan M. |
| author_facet | Borwein, Jonathan M. |
| author_role | aut |
| author_sort | Borwein, Jonathan M. |
| author_variant | j m b jm jmb |
| building | Verbundindex |
| bvnumber | BV042421730 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)864074162 (DE-599)BVBBV042421730 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-9859-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475798593 9781475798616 |
| issn | 1613-5237 |
| language | English |
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| spelling | Borwein, Jonathan M. Verfasser aut Convex Analysis and Nonlinear Optimization Theory and Examples by Jonathan M. Borwein, Adrian S. Lewis New York, NY Springer New York 2000 1 Online-Ressource (X, 273 p) txt rdacontent c rdamedia cr rdacarrier CMS Books in Mathematics / Ouvrages de mathématiques de la SMC 1613-5237 A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica Mathematics Global analysis (Mathematics) Analysis Mathematik Konvexe Funktion (DE-588)4139679-0 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 s Konvexe Funktion (DE-588)4139679-0 s 1\p DE-604 Konvexe Analysis (DE-588)4138566-4 s 2\p DE-604 Lewis, Adrian S. Sonstige oth https://doi.org/10.1007/978-1-4757-9859-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Borwein, Jonathan M. Convex Analysis and Nonlinear Optimization Theory and Examples Mathematics Global analysis (Mathematics) Analysis Mathematik Konvexe Funktion (DE-588)4139679-0 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Konvexe Analysis (DE-588)4138566-4 gnd |
| subject_GND | (DE-588)4139679-0 (DE-588)4128192-5 (DE-588)4138566-4 |
| title | Convex Analysis and Nonlinear Optimization Theory and Examples |
| title_auth | Convex Analysis and Nonlinear Optimization Theory and Examples |
| title_exact_search | Convex Analysis and Nonlinear Optimization Theory and Examples |
| title_full | Convex Analysis and Nonlinear Optimization Theory and Examples by Jonathan M. Borwein, Adrian S. Lewis |
| title_fullStr | Convex Analysis and Nonlinear Optimization Theory and Examples by Jonathan M. Borwein, Adrian S. Lewis |
| title_full_unstemmed | Convex Analysis and Nonlinear Optimization Theory and Examples by Jonathan M. Borwein, Adrian S. Lewis |
| title_short | Convex Analysis and Nonlinear Optimization |
| title_sort | convex analysis and nonlinear optimization theory and examples |
| title_sub | Theory and Examples |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Konvexe Funktion (DE-588)4139679-0 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Konvexe Analysis (DE-588)4138566-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Konvexe Funktion Nichtlineare Optimierung Konvexe Analysis |
| url | https://doi.org/10.1007/978-1-4757-9859-3 |
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