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Fourier and Laplace Transforms
Taschenbuch von H. G. Ter Morsche
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521534413
ISBN-10: 0521534410
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ter Morsche, H. G.
Hersteller: Cambridge University Press
Maße: 254 x 178 x 25 mm
Von/Mit: H. G. Ter Morsche
Erscheinungsdatum: 26.01.2011
Gewicht: 0,855 kg
Artikel-ID: 107891098
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521534413
ISBN-10: 0521534410
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ter Morsche, H. G.
Hersteller: Cambridge University Press
Maße: 254 x 178 x 25 mm
Von/Mit: H. G. Ter Morsche
Erscheinungsdatum: 26.01.2011
Gewicht: 0,855 kg
Artikel-ID: 107891098
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