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Fourier and Laplace Transforms

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Fourier and Laplace Transforms

Fourier and Laplace Transforms

R. J. Beerends, Ministry of Defence, The Hague
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
February 2010
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    Description

    This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics, the natural sciences and engineering. These transforms decompose complicated signals into elementary signals, and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks, heat conduction and filters. In contrast with other books, continuous and discrete transforms are given equal coverage.

    • Textbook written for self-study, complete with illustrated definitions, theorems and concepts
    • Includes a rigorous treatment of distribution theory
    • Solutions available to lecturers from [email protected]

    Reviews & endorsements

    "...[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

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    Product details

    February 2010
    Adobe eBook Reader
    9780511669002
    0 pages
    0kg
    50 tables 125 exercises
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    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.
      • Show more
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    Additional Information
    About the authors
      Authors
    • R. J. Beerends , Ministry of Defence, The Hague
    • 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

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