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Integral Transforms and Their Applications

  • Brian Davies

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
  19. Back Matter
    Pages 357-369

About this book

Introduction

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.

Keywords

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

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9283-5
  • Copyright Information Springer-Verlag New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2950-1
  • Online ISBN 978-1-4684-9283-5
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site