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Fourier and Laplace transforms

Author: R J Beerends
Publisher: Cambridge ; New York : Cambridge University Press, 2003.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Fourier en Laplace transformaties. English.
Fourier and Laplace transforms.
Cambridge ; New York : Cambridge University Press, 2003
(DLC) 2003055187
(OCoLC)52424132
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R J Beerends
ISBN: 9780511675102 0511675100 9780511671852 0511671857 9780511806834 0511806833
OCLC Number: 593333940
Description: 1 online resource (x, 447 pages) : illustrations
Contents: I: Applications and foundations --
1. Signals and systems --
2. Mathematical prerequisites --
II: Fourier series --
3. Fourier series: definition and properties --
4. The fundamental theorem of Fourier series --
5. Application of Fourier series --
III: Fourier integrals and distributions --
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 --
IV: Laplace transforms --
11. Complex functions --
12. The Laplace transform: definition and properties --
13. Further properties, distributions, and the fundamental theorem --
14. Applications of the Laplace transform --
V: Discrete transforms --
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.
Other Titles: Fourier en Laplace transformaties.
Responsibility: R.J. Beerends [and others] ; translated from Dutch by R.J. Beerends.
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Abstract:

This 2003 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  Read more...

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'... 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 Read more...

 
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