About ten years ago I gave a course of lectures on Trigonometric Series, following closely the treatment of that subject in Riemann's \Partielle Differentialgleichungen,"to accompany a short course on The Potential Function, givenby Professor B. O. Peirce.My course has been gradually modified and extended until it has become anintroduction to Spherical Harmonics and Bessel's and Lame's Functions
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