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Integral Transforms and their Applications

  • B. Davies

Part of the Applied Mathematical Sciences book series (AMS, volume 25)

Table of contents

  1. Front Matter
    Pages N2-xv
  2. The Laplace Transform

    1. B. Davies
      Pages 15-25
    2. B. Davies
      Pages 26-46
    3. B. Davies
      Pages 47-58
    4. B. Davies
      Pages 59-75
    5. B. Davies
      Pages 76-88
  3. The Fourier Transform

    1. B. Davies
      Pages 89-109
    2. B. Davies
      Pages 130-154
    3. B. Davies
      Pages 155-177
  4. Other Important Transforms

    1. B. Davies
      Pages 195-213
    2. B. Davies
      Pages 214-224
    3. B. Davies
      Pages 225-236
    4. B. Davies
      Pages 237-253
    5. B. Davies
      Pages 254-266
  5. Special Techniques

  6. Back Matter
    Pages 396-416

About this book

Introduction

In preparing this second edition I have restricted myself to making small corrections and changes to the first edition. Two chapters have had extensive changes made. First, the material of Sections 14.1 and 14.2 has been rewritten to make explicit reference to the book of Bleistein and Handelsman, which appeared after the original Chapter 14 had been written. Second, Chapter 21, on numerical methods, has been rewritten to take account of comparative work which was done by the author and Brian Martin, and published as a review paper. The material for all of these chapters was in fact, prepared for a transla­ tion of the book. Considerable thought has been given to a much more com­ prehensive revision and expansion of the book. In particular, there have been spectacular advances in the solution of some non-linear problems using isospectra1 methods, which may be re­ garded as a generalization of the Fourier transform. However, the subject is a large one, and even a modest introduction would have added substantially to the book. Moreover, the recent book by Dodd et al. is at a similar level to the present volume. Similarly, I have refrained from expanding the chapter on num­ erical methods into a complete new part of the book, since a specialized monograph on numerical methods is in preparation in collaboration with a colleague.

Keywords

Applications Integral Integraltransformation Transforms integral transform

Authors and affiliations

  • B. Davies
    • 1
  1. 1.Department of MathematicsThe Australian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-2691-3
  • Copyright Information Springer-Verlag New York 1985
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96080-7
  • Online ISBN 978-1-4899-2691-3
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site