Convex Analysis And Nonlinear Optimization: Theory And Examples

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9780387295701: Convex Analysis And Nonlinear Optimization: Theory And Examples

Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.

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Book Description:

From the reviews:

MATHEMATICAL REVIEWS

"The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory…The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power of the abstract structural approach and fruitful interplay of geometrical and topological ideas. However, considerable ground is covered and, as a graduate text should, it develops the subject up to the frontiers of current research, giving an idea of areas for further exploration…This text will give impetus to the teaching of analysis because it makes evident its significant applications in optimization. But it will also bring added attraction to the study of optimization because it reveals so much of its abstract structural base."

"The book is divided into 11 chapters and provides a comprehensive presentation of the main features of convex analysis and nonlinear optimisation. Each result is sustained by a set of theorems, propositions and corollaries and includes rigorous proofs and clarifying discussions. They are complemented by a series of theoretical exercises. … This book is warmly recommended for an advanced course in analysis for mathematicians or as a first graduate course for students involved with optimization theory." (Carlos Narciso Bouza Herrera, Zentralblatt MATH, Vol. 1116 (18), 2007)

Dalla quarta di copertina:

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

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Borwein, Jonathan M.; Lewis, Adrian S.
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ISBN 10: 0387295704 ISBN 13: 9780387295701
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Descrizione libro Springer-Verlag New York Inc. 2005-11-30, New York, NY, 2005. hardback. Condizione libro: New. Codice libro della libreria 9780387295701

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Descrizione libro Springer-Verlag New York Inc., United States, 2005. Hardback. Condizione libro: New. 2nd ed. 2006. 236 x 160 mm. Language: English . Brand New Book. Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs. Codice libro della libreria AAZ9780387295701

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Borwein, Jonathan M.; Lewis, Adrian S.
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Descrizione libro Springer-Verlag New York Inc., United States, 2005. Hardback. Condizione libro: New. 2nd ed. 2006. 236 x 160 mm. Language: English . Brand New Book. Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs. Codice libro della libreria AAZ9780387295701

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Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, Convex Analysis and Nonlinear Optimization: Theory and Examples (2nd ed. 2006), Jonathan M. Borwein, Adrian S. Lewis, Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs. Codice libro della libreria B9780387295701

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Descrizione libro Springer-Verlag New York Inc., 2005. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780387295701

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Descrizione libro Springer, 2005. Condizione libro: New. Optimization is a mathematical discipline. This book provides an account of convex analysis and its applications and extensions. It features various sections that conclude with a set of optional exercises. It offers material on semismooth optimization, as well as several proofs. Series: CMS Books in Mathematics. Num Pages: 310 pages, biography. BIC Classification: PBKQ; PBU. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 243 x 158 x 23. Weight in Grams: 644. . 2005. 2nd. Hardcover. . . . . . Codice libro della libreria V9780387295701

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Descrizione libro Springer, 2006. Condizione libro: New. book. Codice libro della libreria ria9780387295701_rkm

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Descrizione libro Springer, 2005. Hardcover. Condizione libro: New. book. Codice libro della libreria 0387295704

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Descrizione libro Springer, 2006. Hardcover. Condizione libro: New. Brand New Book. Shipping: Once your order has been confirmed and payment received, your order will then be processed. The book will be located by our staff, packaged and despatched to you as quickly as possible. From time to time, items get mislaid en route. If your item fails to arrive, please contact us first. We will endeavour to trace the item for you and where necessary, replace or refund the item. Please do not leave negative feedback without contacting us first. All orders will be dispatched within two working days. If you have any quesions please contact us. Codice libro della libreria V9780387295701

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