Finding Resources for Calculus: Examples & Explanations

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does anyone know of any websites that can help to explain how to do these and some possible examples? i can't find anything on this in that stewart calculus book. any help would be appreciated.
 
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Stewart's book doesn't go into Fourier Series; from what I've seen they usually aren't mentioned in math until courses on "real analysis", "partial differential equations" and the like.

By "how to do these" I suppose you mean how to find the coefficients of the terms in the series analytically? It's not that hard for trigonometric systems-- for simple periodic functions it usually just involves a couple of by parts integrations.

A quick search on google ("calculating Fourier series") gives some decent webpages, such as

http://Newton.ex.ac.uk/teaching/resources/au/phy1116/LecturesFourierSeries.pdf
 
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do anybody know what is the use of forier transformation?
 
Fourier transforms have many scientific applications — in physics, number theory, combinatorics, signal processing, probability theory, statistics, cryptography, acoustics, oceanography, optics, geometry, and other areas. (In signal processing and related fields, the Fourier transform is typically thought of as decomposing a signal into its component frequencies and their amplitudes.)

link:http://en.wikipedia.org/wiki/Fourier_transform#Applications"
 
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