Techniques of Variational Analysis

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ISBN-13:
9780387242989
Erscheinungsdatum:
01.06.2005
Seiten:
362
Autor:
Jonathan Borwein
Gewicht:
658 g
Format:
243x156x22 mm
Serie:
CMS Books in Mathematics
Sprache:
Englisch
Beschreibung:

Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis
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.
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.

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