Let's begin by evaluating the Fourier series for the functions:į(x) = 1 for 0 x < L/2, but 0 for L/2 x L Since performing integrals is not much more interesting in the modern age than long division, our goals in this section will be to get a visual and analytic impression of what to expect from Fourier series, and to understand the rôle of symmetry in the calculations.Many of the calculations in this chapter are available in a Mathematica notebook or Maple worksheet. As we know, to find a Fourier series simply means calculating various integrals, which can often be done with software or with integral tables.
In this section we calculate several Fourier series. If you wish to print a nicely formatted version of this chapter, you may downloadthe rtf file, which will be interpreted and opened by Microsoft Word or the pdf file, which will be interpreted and opened byAdobe Acrobat Reader.
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