So im in PDE's and we are deriving certain fourier series for periodic functions. I have notice that the solution manual to the book(adsbygoogle = window.adsbygoogle || []).push({}); Partial Differential Equations with Fourier Series and Boundary Value Problemsby Asmar tends to emphasize infinite sums frequently with "n" equal to 2k for even and 2k+1 for odd. What does it matter if you sum over the odd or even values of a series when you are summing from 1 to infinity anyway? I just want to get my answers to match the solutions and I don't see why its necessary to have this extra step involved.

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# Fourier Series question

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