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Fourier and Laplace Transforms - R. J. Beerends

Hardcover Published: 18th August 2003
ISBN: 9780521806893
Number Of Pages: 458

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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.

'... excellent textbook ...' Zentralblatt MATH
"...[this] book is complete, systematic, and attractive. Much of its effectiveness stems from the thoughtful structure, both in the organization and development of topics and in the clear and clean layout. ...recommended." Choice

Preface
Introduction
Signals and systems
Mathematical prerequisites
Fourier series: definition and properties
The fundamental theorem of Fourier series
Applications of Fourier series
Fourier integrals: definition and properties
The fundamental theorem of the Fourier integral
Distributions
The Fourier transform of distributions
Applications of the Fourier integral
Complex functions
The Laplace transform: definition and properties
Further properties, distributions, and the fundamental theorem
Applications of the Laplace transform
Sampling of continuous-time signals
The discrete Fourier transform
The fast Fourier transform
The z-transform
Applications of discrete transforms
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521806893
ISBN-10: 0521806895
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 458
Published: 18th August 2003
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 25.4 x 17.78  x 2.54
Weight (kg): 1.07