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© 1998

Introductory Functional Analysis

With Applications to Boundary Value Problems and Finite Elements

  • Assumes only elementary knowledge of linear algebra, vector analysis, and differential equations

  • New concepts made more accessible by copious use of concrete worked examples

  • Descriptive approach favored over detailed mathematical argument

  • Chapter end with exercises to consolidate the material

  • Solutions included

Textbook

Part of the Texts in Applied Mathematics book series (TAM, volume 27)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Introduction

    1. B. Daya Reddy
      Pages 1-19
  3. Linear Functional Analysis

    1. Front Matter
      Pages 21-21
    2. B. Daya Reddy
      Pages 23-51
    3. B. Daya Reddy
      Pages 53-80
    4. B. Daya Reddy
      Pages 105-131
    5. B. Daya Reddy
      Pages 133-174
    6. B. Daya Reddy
      Pages 175-212
    7. B. Daya Reddy
      Pages 213-251
  4. Elliptic Boundary Value Problems

    1. Front Matter
      Pages 253-253
    2. B. Daya Reddy
      Pages 255-303
    3. B. Daya Reddy
      Pages 305-338
    4. B. Daya Reddy
      Pages 339-359
  5. The Finite Element Method

    1. Front Matter
      Pages 361-361
    2. B. Daya Reddy
      Pages 363-409
    3. B. Daya Reddy
      Pages 411-434
  6. Back Matter
    Pages 435-471

About this book

Introduction

THIS IS BOTH PROMO COPY AND BACK COVER COPY!!!!! This book provides an introduction to functional analysis and treats in detail its application to boundary-value problems and finite elements. The book is intended for use by senior undergraduate and graduate students in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis would also find the text useful. The text is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. Readers of this book can expect to obtain a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.

Keywords

Algebra calculus finite elements functional analysis linear optimization mathematics proving

Authors and affiliations

  1. 1.Department of Mathematics and Applied MathematicsUniversity of Cape TownRondeboschSouth Africa

Bibliographic information

  • Book Title Introductory Functional Analysis
  • Book Subtitle With Applications to Boundary Value Problems and Finite Elements
  • Authors B.D. Reddy
  • Series Title Texts in Applied Mathematics
  • DOI https://doi.org/10.1007/978-1-4612-0575-3
  • Copyright Information Springer-Verlag New York 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-98307-3
  • Softcover ISBN 978-1-4612-6824-6
  • eBook ISBN 978-1-4612-0575-3
  • Series ISSN 0939-2475
  • Series E-ISSN 2196-9949
  • Edition Number 1
  • Number of Pages XIV, 472
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Computational Intelligence
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site
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