Overview

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.

Full Product Details

Author:   R. J. Beerends ,  H. G. ter Morsche (Technische Universiteit Eindhoven, The Netherlands) ,  J. C. van den Berg (Agricultural University, Wageningen, The Netherlands) ,  E. M. van de Vrie (Open Universiteit)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9780511806834

ISBN 10:   0511806833
Publication Date:   05 June 2012
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order  
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Language:   English

Table of Contents

Preface; Introduction; 1. Signals and systems; 2. Mathematical prerequisites; 3. Fourier series: definition and properties; 4. The fundamental theorem of Fourier series; 5. Applications of Fourier series; 6. Fourier integrals: definition and properties; 7. The fundamental theorem of the Fourier integral; 8. Distributions; 9. The Fourier transform of distributions; 10. Applications of the Fourier integral; 11. Complex functions; 12. The Laplace transform: definition and properties; 13. Further properties, distributions, and the fundamental theorem; 14. Applications of the Laplace transform; 15. Sampling of continuous-time signals; 16. The discrete Fourier transform; 17. The fast Fourier transform; 18. The z-transform; 19. Applications of discrete transforms.

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'... excellent textbook ...' Zentralblatt MATH

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