CMS Books in Mathematics

Techniques of Variational Analysis

Authors: Borwein, Jonathan, Zhu, Qiji

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About this Textbook

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 authors

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.

Reviews

From the reviews:

"This book maps the progress that has been made since the publication of the Ekeland variational principle in 1974 in the development and application of the variational approach in nonlinear analysis. The authors are well equipped for their task. … This monograph is distinctive for bringing out the unifying role of variational principles across nonlinear analysis, the numerous examples of their application, and for the insights communicated by the authors, drawing on their experience as key participants in their development." (Richard B. Vinter, Mathematical Reviews, Issue 2006 h)

"The book presents a nice treatment of known variational principles and their application in many fields of mathematics. … Many exercises are provided at the end of all sections where the reader can reflect the main text and can get further generalizations of the results." (Jörg Thierfelder, Zentralblatt MATH, Vol. 1076, 2006)

"The aim of the book is to emphasize the strength of the variational techniques in various domains … . The book contains a lot of exercises completing the main text … . the book is directed to graduate students in the field of variational analysis. … Researchers who use variational techniques or intend to do so, will find the book very useful too." (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. LI (2), June, 2006)


Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-387-28271-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-24298-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4419-2026-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Techniques of Variational Analysis
Authors
Series Title
CMS Books in Mathematics
Copyright
2005
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-28271-8
DOI
10.1007/0-387-28271-8
Hardcover ISBN
978-0-387-24298-9
Softcover ISBN
978-1-4419-2026-3
Series ISSN
1613-5237
Edition Number
1
Number of Pages
VI, 362
Topics