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Techniques of Variational Analysis (CMS Books in Mathematics)



Rok: 2005
ISBN: 9780387242989
OKCZID: 110139603

Citace (dle ČSN ISO 690):
BORWEIN, Jonathan M. Techniques of variational analysis. New York: Springer, [2005]. vi, 362 stran. CMS book in mathematics.


Anotace

 

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.


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