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 138x       Filetype PDF       File size 0.56 MB       Source: feng.stafpu.bu.edu.eg


File: Fourier Series
Fourier series 174 Introduction In mathematics, a Fourier series decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines ...

icon picture PDF Filetype PDF | Posted on 28 Jan 2023 | 2 years ago
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...Fourier series introduction in mathematics a decomposes any periodic function or signal into the sum of possibly infinite set simple oscillating functions namely sines and cosines complex exponentials study is branch analysis were introduced by joseph for purpose solving heat equation metal plate partial differential prior to s work there was no known solution general situation although particular solutions if source behaved way sine cosine wave these are now sometimes called eigen idea model complicated as superposition linear combination waves write corresponding this original motivation solve it later became obvious that same techniques could be applied wide array mathematical physical problems has many applications electrical engineering vibration acoustics optics processing image quantum mechanics econometrics thin walled shell theory etc named honour who made important contributions trigonometric after preliminary investigations leonhard euler jean le rond d alembert daniel berno...
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