32 inner products

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Unformatted text preview: . . . . . . . . . . . . . . . . . . . . 29 29 36 44 49 53 59 3 Fourier Series 3.1 Fourier series . . . . . . . . . . . . 3.2 Inner products . . . . . . . . . . . 3.3 Fourier sine and cosine series . . . 3.4 Complex version of Fourier series* 3.5 Fourier transforms* . . . . . . . . . . . . . . 62 62 69 72 77 79 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Partial Differential Equations 4.1 Overview . . . . . . . . . . . . . . . . . . . . . . 4.2 The initial value problem for the heat equation . 4.3 Numerical solutions to the heat equation . . . . . 4.4 The vibrating string . . . . . . . . . . . . . . . . 4.5 The initial value problem for the vibrating string 4.6 Heat flow in a circular wire . . . . . . . . . . . . 4.7 Sturm-Liouville Theory* . . . . . . . . . . . . . . 4.8 Numerical solutions to the eigenvalue problem* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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This document was uploaded on 01/12/2014.

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