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  • Textbook
  • © 2014

An Introduction to Laplace Transforms and Fourier Series

Authors:

  • Provides an easy-to-read account of fourier series, wavelets and laplace transforms

  • Contains many examples

  • Provides solutions to all exercises

  • Includes supplementary material: sn.pub/extras

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

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eBook USD 34.99
Price excludes VAT (USA)
  • ISBN: 978-1-4471-6395-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 44.99
Price excludes VAT (USA)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
  2. The Laplace Transform

    • Phil Dyke
    Pages 1-12
  3. Fourier Series

    • Phil Dyke
    Pages 83-122
  4. Partial Differential Equations

    • Phil Dyke
    Pages 123-143
  5. Fourier Transforms

    • Phil Dyke
    Pages 145-173
  6. Wavelets and Signal Processing

    • Phil Dyke
    Pages 175-208
  7. Back Matter

    Pages 239-318

About this book

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

  • School of Computing and Mathematics, Plymouth University, Plymouth, United Kingdom

    Phil Dyke

About the author

Phil Dyke has over 40 years experience teaching at UK Universities, and for the past 6 years has based a course on the subject of this book. He has also used Laplace transforms and Fourier methods in his research. He has been a professor of applied mathematics at Plymouth University for over 20 years.

Bibliographic Information

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • ISBN: 978-1-4471-6395-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 44.99
Price excludes VAT (USA)