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Catalogue Information
Field name	Details
Dewey Class	515.72
Title	An Introduction to Laplace Transforms and Fourier Series ([Ebook]) / by Phil Dyke.
Author	Dyke, Philip P. G.
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2014.
Publication	London : Springer , 2014.
Physical Details	XV, 318 pages: 66 illus., 10 illus. in color. : online resource.
ISBN	9781447163954
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4471-6395-4
Links to Related Works	Subject References: Appl.Mathematics/Computational Methods of Engineering . Fourier Analysis . Functions of a Complex Variable . Functions of complex variables . Integral transforms . Integral Transforms, Operational Calculus . Mathematical Methods in Physics . Mathematical Physics . Authors: Dyke, Philip P. G. . Corporate Authors: SpringerLink (Online service) . Series: Springer undergraduate mathematics series . Classification: 515.72 .

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An Introduction to Laplace Transforms and Fourier Series

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