© 2002

Integral Transforms and Their Applications


Part of the Texts in Applied Mathematics book series (TAM, volume 41)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Brian Davies
    Pages 1-26
  3. Brian Davies
    Pages 27-38
  4. Brian Davies
    Pages 39-56
  5. Brian Davies
    Pages 57-84
  6. Brian Davies
    Pages 85-96
  7. Brian Davies
    Pages 97-109
  8. Brian Davies
    Pages 111-128
  9. Brian Davies
    Pages 129-142
  10. Brian Davies
    Pages 143-162
  11. Brian Davies
    Pages 163-179
  12. Brian Davies
    Pages 181-194
  13. Brian Davies
    Pages 195-210
  14. Brian Davies
    Pages 211-226
  15. Brian Davies
    Pages 227-248
  16. Brian Davies
    Pages 265-281
  17. Brian Davies
    Pages 283-302
  18. Brian Davies
    Pages 327-355

About this book


Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re­ search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numeri­ cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich Houston, Texas M. Golubitsky College Park, Maryland S.S. Antman Preface to the Third Edition It is more than 25 years since I finished the manuscript of the first edition of this volume, and it is indeed gratifying that the book has been in use over such a long period and that the publishers have requested a third edition.


Fourier series Fourier transform Integral equation Laplace transform Potential Taylor series algorithm calculus convolution differential equation electromagnetism integral transform operator partial differential equation transformation

Authors and affiliations

  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

Bibliographic information

  • Book Title Integral Transforms and Their Applications
  • Authors Brian Davies
  • Series Title Texts in Applied Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-95314-4
  • Softcover ISBN 978-1-4419-2950-1
  • eBook ISBN 978-1-4684-9283-5
  • Series ISSN 0939-2475
  • Edition Number 3
  • Number of Pages XVIII, 370
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 25 in the series: Applied Mathematical Sciences
  • Topics Analysis
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site
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From the reviews of the third edition:

B. Davies

Integral Transforms and their Applications

"Extremely well-written and a joy to read . . . Whether the reader is seeking a useful text for a graduate course or a valuable reference on integral transforms, I would highly recommend Brian Davies' book."


"A testament to the quality and usefulness of this monograph is that a third edition has now appeared. … In addition to the material previously included, there have been significant extensions in some of the topics … . The writing style and the overall structure of the presentation have been modified … and, as a consequence, the current edition is extremely well-written and a joy to read. … I would highly recommend Brian Davies’ book." (W.P. Wood, The Australian Mathematical Society Gazette, Vol. 30 (1), 2003)

"In its present third edition this well known work has undergone considerable reconstruction or augmentation … . Due to the general character of this volume, the many examples worked out or provided, this volume will be of use to readers intending to make actual use of integral transforms." (H. Muthsam, Monatshefte für Mathematik, Vol. 139 (2), 2003)

"Nevertheless that the new edition has less pages, it is now … about 20% longer which can find a seemingly explanation by its more compact and now modern photocomposed copy preparation on the basis of a LaTeX file. … As conclusion … the new edition gained considerably … it can be highly recommended to a broad readership." (J. Synnatzschke, ZAA, Vol. 21 (3), 2002)