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Techniques of Variational Analysis

Techniques of Variational Analysis Hard cover - 2005

by Jonathan M. Borwein

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  • Hardcover

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Details

  • Title Techniques of Variational Analysis
  • Author Jonathan M. Borwein
  • Binding Hard Cover
  • Edition U. S. EDITION
  • Condition New
  • Pages 362
  • Volumes 1
  • Language ENG
  • Publisher Springer, New York, NY
  • Date 2005-06-14
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Maps, Table of Contents
  • Bookseller's Inventory # ria9780387242989_pod
  • ISBN 9780387242989 / 0387242988
  • Weight 1.45 lbs (0.66 kg)
  • Dimensions 9.58 x 6.16 x 0.85 in (24.33 x 15.65 x 2.16 cm)
  • Library of Congress subjects Calculus of variations
  • Dewey Decimal Code 515.64

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From the publisher

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. These tools are illustrated by applications in many different parts of analysis, optimization and approximation, dynamical systems, mathematical economics and elsewhere. Much of the material in the book grows out of talks and short lecture series given by the authors in the past several years. Thus, chapters in this book can easily be arranged to form material for a graduate level topics course. A sizeable collection of suitable exercises is provided for this purpose. In addition, this book is also a useful reference for researchers who use variational techniques---or just think they might like to.

From the rear cover

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.

About the author

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.