An Introduction to Laplace Transforms and Fourier Series

  • Phil¬†Dyke

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

Table of contents

  1. Front Matter
    Pages i-xv
  2. Phil Dyke
    Pages 1-12
  3. Phil Dyke
    Pages 83-122
  4. Phil Dyke
    Pages 123-143
  5. Phil Dyke
    Pages 145-173
  6. Phil Dyke
    Pages 175-208
  7. Back Matter
    Pages 239-318

About this book

Introduction

Laplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative. Any problem that has underlying linearity and with solution based on initial values can be expressed as an appropriate differential equation and hence be solved using Laplace transforms.

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets.

Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Keywords

Fourier Series Laplace Transforms Wavelets

Authors and affiliations

  • Phil¬†Dyke
    • 1
  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-6395-4
  • Copyright Information Springer-Verlag London 2014
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4471-6394-7
  • Online ISBN 978-1-4471-6395-4
  • Series Print ISSN 1615-2085
  • Series Online ISSN 2197-4144
  • About this book