R. J. BeerendsCambridge University PressEdition: New Ed, 8/7/2003EAN 9780521534413, ISBN10: 0521534410Paperback, 458 pages, 25.4 x 17.8 x 2.6 cmLanguage: EnglishThis 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.PrefaceIntroduction1. Signals and systems2. Mathematical prerequisites3. Fourier seriesdefinition and properties4. The fundamental theorem of Fourier series5. Applications of Fourier series6. Fourier integralsdefinition and properties7. The fundamental theorem of the Fourier integral8. Distributions9. The Fourier transform of distributions10. Applications of the Fourier integral11. Complex functions12. The Laplace transformdefinition and properties13. Further properties, distributions, and the fundamental theorem14. Applications of the Laplace transform15. Sampling of continuous-time signals16. The discrete Fourier transform17. The fast Fourier transform18. The z-transform19. Applications of discrete transforms.'... excellent textbook ...' Zentralblatt MATH
