An introduction to Laplace transforms and Fourier series [electronic resource] / Phil Dyke.
Dyke, P. P. G., author.
2014
QA432
Available Online

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Title An introduction to Laplace transforms and Fourier series [electronic resource] / Phil Dyke.
Author Dyke, P. P. G., author.
Edition Second edition.
ISBN 9781447163954 electronic book
1447163958 electronic book
9781447163947
DOI https://doi.org/10.1007/978-1-4471-6395-4
Published London : Springer, 2014.
Language English
Description 1 online resource (xv, 318 pages) : illustrations (some color).
Item Number 10.1007/978-1-4471-6395-4 doi
Call Number QA432
Dewey Decimal Classification 515/.723
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed March 31, 2014).
Series Springer undergraduate mathematics series, 1615-2085
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Record Appears in Online Resources > Ebooks
All Resources
The Laplace Transform
Further Properties of the Laplace Transform
Convolution and the Solution of Ordinary Differential Equations
Fourier Series
Partial Differential Equations
Fourier Transforms
Wavelets and Signal Processing
Complex Variables and Laplace Transforms.

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