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Functional Analysis

Applications in Mechanics and Inverse Problems

  • Book
  • © 1996

Overview

Authors:
  1. L. P. Lebedev

    1. Department of Mathematics and Mechanics, Rostov State University, Russia

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  2. I. I. Vorovich

    1. Department of Mathematics and Mechanics, Rostov State University, Russia

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  3. G. M. L. Gladwell

    1. Department of Civil Engineering, University of Waterloo, Canada

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Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 41)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 1-18

  3. Introduction to Metric Spaces

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 19-62

  4. Energy Spaces and Generalized Solutions

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 63-96

  5. Approximation in a Normed Linear Space

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 97-136

  6. Elements of the Theory of Linear Operators

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 137-162

  7. Compactness and Its Consequences

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 163-188

  8. Spectral Theory of Linear Operators

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 189-212

  9. Applications to Inverse Problems

    • L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell
    Pages 213-232

  10. Back Matter

    Pages 233-248
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Keywords

About this book

This book started its life as a series of lectures given by the second author from the 1970's onwards to students in their third and fourth years in the Department of Mathematics at the Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis used in contemporary research in their fields. These people were not so much interested in functional analysis itself as in its applications; they did not want to be told about functional analysis in its most abstract form, but wanted a guided tour through those parts of the analysis needed for their applications. The lecture notes evolved over the years as the first author started to make more formal typewritten versions incorporating new material. About 1990 the first author prepared an English version and submitted it to Kluwer Academic Publishers for inclusion in the series Solid Mechanics and its Applications. At that stage the notes were divided into three long chapters covering linear and nonlinear analysis. As Series Editor, the third author started to edit them.

Authors and Affiliations

  • Department of Mathematics and Mechanics, Rostov State University, Russia

    L. P. Lebedev, I. I. Vorovich

  • Department of Civil Engineering, University of Waterloo, Canada

    G. M. L. Gladwell

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