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An Introduction to Laplace Transforms and Fourier Series: Springer Undergraduate Mathematics Series

Autor Phil Dyke
en Limba Engleză Paperback – 7 apr 2014
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.
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Specificații

ISBN-13: 9781447163947
ISBN-10: 144716394X
Pagini: 336
Ilustrații: XV, 318 p. 66 illus., 10 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.45 kg
Ediția:2nd ed. 2014
Editura: SPRINGER LONDON
Colecția Springer
Seria Springer Undergraduate Mathematics Series

Locul publicării:London, United Kingdom

Public țintă

Upper undergraduate

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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 disciplinesuch as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Caracteristici

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