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I know people speak warmly about "Partial Differential Equations for Scientists and Engineers" by Stanley J. Farlow (Dover), but it seems a little light on the Green's function side. Would it be better to learn this from an electrodynamics text? My ultimate interest in Green's functions is 1) to get a better understanding of mathematical modeling in general and 2) to better understand its application in QFT (in terms of propagators).

Anyone have some sound advice on where to look? Thanks!