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Books > Science & Mathematics > Mathematics > Applied mathematics
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Sinusoids - Theory and Technological Applications (Paperback)
Loot Price: R2,117
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Sinusoids - Theory and Technological Applications (Paperback)
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A Complete Treatment of Current Research Topics in Fourier
Transforms and Sinusoids Sinusoids: Theory and Technological
Applications explains how sinusoids and Fourier transforms are used
in a variety of application areas, including signal processing,
GPS, optics, x-ray crystallography, radioastronomy, poetry and
music as sound waves, and the medical sciences. With more than 200
illustrations, the book discusses electromagnetic force and
sychrotron radiation comprising all kinds of waves, including gamma
rays, x-rays, UV rays, visible light rays, infrared, microwaves,
and radio waves. It also covers topics of common interest, such as
quasars, pulsars, the Big Bang theory, Olbers' paradox, black
holes, Mars mission, and SETI. 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.
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