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-xii
  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

    1. B. Davies
      Pages 288-312
    2. B. Davies
      Pages 313-341

About this book

Introduction

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im­ mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi­ cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.

Keywords

Applications Integral Integraltransformation Transforms integral transform

Authors and affiliations

  • B. Davies
    • 1
  1. 1.The Australian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-5512-1
  • Copyright Information Springer Science+Business Media New York 1978
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90313-2
  • Online ISBN 978-1-4757-5512-1
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • About this book