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＜電子ブック＞
An Introduction to Laplace Transforms and Fourier Series / by Phil Dyke
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	2nd ed. 2014.
出版者	(London : Springer London : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XV, 318 p. 66 illus., 10 illus. in color : online resource
著者標目	*Dyke, Phil author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Fourier analysis LCSH:Functions of complex variables LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematical physics FREE:Integral Transforms and Operational Calculus FREE:Fourier Analysis FREE:Functions of a Complex Variable FREE:Mathematical and Computational Engineering Applications FREE:Mathematical Methods in Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4471-6395-4

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