Convex Functional Analysis

Inbunden, Engelska, 2005

Del i serien Systems & Control: Foundations & Applications

532 kr

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Beskrivning

The book is dedicated to functional and convex analysis techniques for the study of recent problems in optimal control and mechanics. It provides a rigorous foundation for the application of variational principles. Through the unifying approach of convex analysis, the text discusses four general types of applications: contact problems in mechanics, control of distributed parameter systems, control of incompressible flow, and identification problems in mechanics. It also considers extensions of convex analysis with application to the homogenization of steady state heat conduction equations, approximation theory in identification problems, and nonconvex variational problems in mechanics. Special emphasis is given to techniques for solving convex optimization problems subject to constraints.

Produktinformation

Utgivningsdatum:2005-05-23
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Systems & Control: Foundations & Applications
Antal sidor:228
Förlag:Birkhauser Verlag AG
ISBN:9783764321987

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Recensioner i media

"The book provides not only the bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis, but also a concise summary of definitions and theorems so that the text is self-contained." -Zentralblatt MATH "This book...is intended as a textbook for classes in variational calculus and applied functional analysis for graduate students in engineering and applied mathematics... The book is the result of the courses taught by the authors through the years and tries to address the different backgrounds [that] different types of students come in with when taking these courses. The topics covered provide both a treatment of the theoretical aspects of functional analysis, as well as their applications to variational calculus, mechanics and control theory... I am sure that many instructors seeking a textbook for a course on the applications of functional analysis for engineering or applied mathematics students will find this text very useful." -MAA Reviews

Innehållsförteckning

Classical Abstract Spaces in Functional Analysis.- Linear Functionals and Linear Operators.- Common Function Spaces in Applications.- Differential Calculus in Normed Vector Spaces.- Minimization of Functionals.- Convex Functionals.- Lower Semicontinuous Functionals.