- Provides an easy-to-read account of fourier series, wavelets and laplace transforms
- Contains many examples
- Provides solutions to all exercises
Buy this book
- About this Textbook
-
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.
- About the authors
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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.
- Table of contents (8 chapters)
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The Laplace Transform
Pages 1-12
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Further Properties of the Laplace Transform
Pages 13-38
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Convolution and the Solution of Ordinary Differential Equations
Pages 39-82
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Fourier Series
Pages 83-122
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Partial Differential Equations
Pages 123-143
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Table of contents (8 chapters)
- Download Preface 1 PDF (93.6 KB)
- Download Sample pages 2 PDF (321.4 KB)
- Download Table of contents PDF (108.8 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- An Introduction to Laplace Transforms and Fourier Series
- Authors
-
- Phil Dyke
- Series Title
- Springer Undergraduate Mathematics Series
- Copyright
- 2014
- Publisher
- Springer-Verlag London
- Copyright Holder
- Springer-Verlag London Ltd., part of Springer Nature
- eBook ISBN
- 978-1-4471-6395-4
- DOI
- 10.1007/978-1-4471-6395-4
- Softcover ISBN
- 978-1-4471-6394-7
- Series ISSN
- 1615-2085
- Edition Number
- 2
- Number of Pages
- XV, 318
- Number of Illustrations
- 56 b/w illustrations, 10 illustrations in colour
- Topics
