Fourier and Laplace Transforms

R.J. Beerends, H.G. ter Morsche, J.C. van den Berg

Research output: Book/ReportBookPopular

Abstract

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science
Original languageEnglish
Place of PublicationCambridge
PublisherCambridge University Press
Number of pages458
ISBN (Print)9780521534413
DOIs
Publication statusPublished - 2003

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Laplace transform
Fourier transform
Transform
z transform
Electrical Engineering
Fourier Integral
Discrete Fourier transform
Periodic Functions
Applied mathematics
Fourier series
Exercise
Computer Science
Ordinary differential equation
Partial differential equation
Physics

Cite this

Beerends, R. J., ter Morsche, H. G., & van den Berg, J. C. (2003). Fourier and Laplace Transforms. Cambridge: Cambridge University Press. https://doi.org/10.2277/0521534410
Beerends, R.J. ; ter Morsche, H.G. ; van den Berg, J.C. / Fourier and Laplace Transforms. Cambridge : Cambridge University Press, 2003. 458 p.
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Beerends, RJ, ter Morsche, HG & van den Berg, JC 2003, Fourier and Laplace Transforms. Cambridge University Press, Cambridge. https://doi.org/10.2277/0521534410

Fourier and Laplace Transforms. / Beerends, R.J.; ter Morsche, H.G.; van den Berg, J.C.

Cambridge : Cambridge University Press, 2003. 458 p.

Research output: Book/ReportBookPopular

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Beerends RJ, ter Morsche HG, van den Berg JC. Fourier and Laplace Transforms. Cambridge: Cambridge University Press, 2003. 458 p. https://doi.org/10.2277/0521534410