An Introduction to Laplace Transforms and Fourier Series
Seiten
2014
|
2nd ed. 2014
Springer London Ltd (Verlag)
978-1-4471-6394-7 (ISBN)
Springer London Ltd (Verlag)
978-1-4471-6394-7 (ISBN)
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.
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.
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.
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.
| Reihe/Serie | Springer Undergraduate Mathematics Series | Springer Undergraduate Mathematics Series |
|---|---|
| Zusatzinfo | 10 Illustrations, color; 56 Illustrations, black and white; XV, 318 p. 66 illus., 10 illus. in color. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie | |
| Schlagworte | Fourierreihen • Fourier series • Laplace Transforms • Wavelets |
| ISBN-10 | 1-4471-6394-X / 144716394X |
| ISBN-13 | 978-1-4471-6394-7 / 9781447163947 |
| Zustand | Neuware |
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