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An Introduction to Laplace Transforms and Fourier Series

  • Textbook
  • © 2014

Overview

  • 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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Table of contents (8 chapters)

Keywords

About this book

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.

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.

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