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An Introduction to Laplace Transforms and Fourier Series

  • Philip P. G. Dyke

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Philip P. G. Dyke
    Pages 1-12
  3. Philip P. G. Dyke
    Pages 13-36
  4. Philip P. G. Dyke
    Pages 79-110
  5. Philip P. G. Dyke
    Pages 111-128
  6. Philip P. G. Dyke
    Pages 129-155
  7. Philip P. G. Dyke
    Pages 157-183
  8. Back Matter
    Pages 185-250

About this book

Introduction

This book has been primarily written for the student of mathematics who is in the second year or the early part of the third year of an undergraduate course. It will also be very useful for students of engineering and the physical sciences for whom Laplace Transforms continue to be an extremely useful tool. The book demands no more than an elementary knowledge of calculus and linear algebra of the type found in many first year mathematics modules for applied subjects. For mathematics majors and specialists, it is not the mathematics that will be challenging but the applications to the real world. The author is in the privileged position of having spent ten or so years outside mathematics in an engineering environment where the Laplace Transform is used in anger to solve real problems, as well as spending rather more years within mathematics where accuracy and logic are of primary importance. This book is written unashamedly from the point of view of the applied mathematician. The Laplace Transform has a rather strange place in mathematics. There is no doubt that it is a topic worthy of study by applied mathematicians who have one eye on the wealth of applications; indeed it is often called Operational Calculus.

Keywords

Derivative Fourier series Fourier transform calculus convolution differential equation step function

Authors and affiliations

  • Philip P. G. Dyke
    • 1
  1. 1.University of PlymouthPlymouth, DevonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0505-3
  • Copyright Information Springer-Verlag London Limited 2001
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-015-6
  • Online ISBN 978-1-4471-0505-3
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site
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