Sinusoids theory and technological applications

The book begins by describing sinusoids, which are periodic sine or cosine functions, using well-known examples from wave theory, including traveling and standing waves, continuous musical rhythms, and the human liver. It next discusses the Fourier series and transform in both continuous and discret...

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Bibliographic Details
Main Author: Kythe, Prem K. (Author)
Format: Book
Language:English
Published: Boca Raton, FL CRC Press [2015]
Series:Monographs and studies in mathematics
Subjects:
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MARC

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020 |a 9781482221060 (Hardback) 
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090 |a QC 454.F7  |b K98 2015 
100 1 |a Kythe, Prem K.  |e author 
245 1 0 |a Sinusoids  |b theory and technological applications  |c Prem K. Kythe 
264 1 |a Boca Raton, FL  |b CRC Press  |c [2015] 
264 4 |c ©2015 
300 |a xxiii, 487 pages  |b illustrations  |c 24 cm. 
336 |a text  |2 rdacontent 
337 |a unmediated  |2 rdamedia 
338 |a volume  |2 rdacarrier 
490 1 |a Monographs and Research Notes in Mathematics 
504 |a Includes bibliographical references 
505 0 |a 1. Introduction -- 2. Fourier series -- 3. Fourier transforms -- 4. Signals and filters -- 5. Communication systems -- 6. Global positioning system -- 7. Fourier optics -- 8. X-ray crystallography -- 9. Radioastronomy -- 10. Acoustics, poetry, and music -- 11. Computerized axial tomography 
520 |a The book begins by describing sinusoids, which are periodic sine or cosine functions, using well-known examples from wave theory, including traveling and standing waves, continuous musical rhythms, and the human liver. It next discusses the Fourier series and transform in both continuous and discrete cases and analyzes the Dirichlet kernel and Gibbs phenomenon. The author shows how invertibility and periodicity of Fourier transforms are used in the development of signals and filters, addresses the general concept of communication systems, and explains the functioning of a GPS receiver. The author then covers the theory of Fourier optics, synchrotron light and x-ray diffraction, the mathematics of radioastronomy, and mathematical structures in poetry and music. The book concludes with a focus on tomography, exploring different types of procedures and modern advances. The appendices make the book as self-contained as possible 
592 |a 32586  |b 8/12/2016  |c RM 533.01  |h Bookline 
650 0 |a Fourier transform optics 
650 0 |a Fourier transformations 
650 0 |a Signal processing 
830 0 |a Monographs and studies in mathematics 
999 |a vtls000057294  |c 102092  |d 102092