Fourier and Laplace Transforms (Digital Edition) - Beerends, ter torrent

Fourier and Laplace Transforms PDF (Digital Edition)
Authors: R.J.Beerends, H.G.ter Morsche, J.C.van den Berg, E.M.van de Vrie

ISBN-13 978-0-511-67312-2 eBook (EBL)


Fourier and Laplace Transforms
This book 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.
Each part closes with a separate chapter on the applications of the specific transform
to signals, systems, and differential equations. The book includes a preliminary part
which develops the relevant concepts in signal and systems theory and also contains
a review of mathematical prerequisites.
This textbook is designed for self-study. It includes many worked examples, together
with more than 450 exercises, and will be of great value to undergraduates
and graduate students in applied mathematics, electrical engineering, physics and
computer science.