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Techniques of Variational Analysis / by Jonathan Borwein, Qiji Zhu
(CMS Books in Mathematics, Ouvrages de mathématiques de la SMC. ISSN:21974152)

1st ed. 2005.
出版者 (New York, NY : Springer New York : Imprint: Springer)
出版年 2005
本文言語 英語
大きさ VI, 362 p : online resource
著者標目 *Borwein, Jonathan author
Zhu, Qiji author
SpringerLink (Online service)
件 名 LCSH:Mathematical optimization
LCSH:Calculus of variations
LCSH:Functional analysis
FREE:Optimization
FREE:Calculus of Variations and Optimization
FREE:Functional Analysis
一般注記 and Notation -- Variational Principles -- Variational Techniques in Subdifferential Theory -- Variational Techniques in Convex Analysis -- Variational Techniques and Multifunctions -- Variational Principles in Nonlinear Functional Analysis -- Variational Techniques In the Presence of Symmetry
Variational arguments are classical techniques whose use can be traced back to the early development of the calculus of variations and further. Rooted in the physical principle of least action they have wide applications in diverse fields. This book provides a concise account of the essential tools of infinite-dimensional first-order variational analysis illustrated by applications in many areas of analysis, optimization and approximation, dynamical systems, mathematical economics and elsewhere. The book is aimed at both graduate students in the field of variational analysis and researchers who use variational techniques, or think they might like to. Large numbers of (guided) exercises are provided that either give useful generalizations of the main text or illustrate significant relationships with other results. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. He received his Doctorate from Oxford in 1974 and has been on faculty at Waterloo, Carnegie Mellon and Simon Fraser Universities. He has published extensively in optimization, analysis and computational mathematics and has received various prizes both for research and for exposition. Qiji J. Zhu is a Professor in the Department of Mathematics at Western Michigan University. He received his doctorate at Northeastern University in 1992. He has been a Research Associate at University of Montreal, Simon Fraser University and University of Victoria, Canada
HTTP:URL=https://doi.org/10.1007/0-387-28271-8
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Springer eBooks 9780387282718
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EB00226705

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分 類 LCC:QA402.5-402.6
DC23:519.6
書誌ID 4000134212
ISBN 9780387282718

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