Functional Analysis

Applications in Mechanics and Inverse Problems

Leonid P. Lebedev, I.I. Vorovich, G.M.L. Gladwell - Collection Solid Mechanics and Its Applications,

260 pages, parution le 30/06/2002 (2^eme édition)

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Résumé

This is a book for people who want to use functional analysis to justify approximate methods in Mechanics and Inverse Problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need. For the applied mathematician, the essential difficulty attending the study of functional analysis is that the pure mathematicians who have developed the field have carried the process of abstraction, which is the essence of functional analysis, to increasingly higher levels. In this book, the authors have kept the level of abstraction high enough for the majority of applications, and have resisted the temptation to abstract to the limit.

The book can be used for a lecture course or for self study; there are exercises throughout, and references for further study.

This new edition corrects a number of typographical and logical errors in the first edition.

Written for: Researchers and mathematicians

L'auteur - Leonid P. Lebedev

Leonid P. Lebedev is Professor of Mathematics at the National University of Colombia and Professor of Mechanics and Mathematics at Rostov State University in Russia. He is the author of Functional Analysis in Mechanics and Functional Analysis: Applications in Mechanics and Inverse Problems.

Sommaire

Introduction
Introduction to Metric Spaces
Energy Spaces and Generalized Solutions
Approximation in a Normed Linear Space
Elements of the Theory of Linear Operators
Compactness and Its Consequences
Spectral Theory of Linear Operators
Applications to Inverse Problems

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Kluwer Academic Publishers
Auteur(s)	Leonid P. Lebedev, I.I. Vorovich, G.M.L. Gladwell
Collection	Solid Mechanics and Its Applications,
Parution	30/06/2002
Édition	2^eme édition
Nb. de pages	260
Format	16 x 24
Couverture	Broché
Poids	420g
Intérieur	Noir et Blanc
EAN13	9781402007569
ISBN13	978-1-4020-0756-9