Techniques of Variational Analysis (CMS Books in Mathematics)

By Jonathan M. Borwein, Qiji J. Zhu,

Publisher: Springer
Number Of Pages: 366
Publication Date: 2005-06-14
Sales Rank: 384245
ISBN / ASIN: 0387242988
EAN: 9780387242989
Binding: Hardcover
Manufacturer: Springer
Studio: Springer

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.