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Chapter 12 Fourier Series 12.1 Motivation Many problems in physics involve vibrations and oscillations. Often the os- cillatory motion is simple (e.g. weights on springs,…

Documents 12.1 The Dirichlet conditions:

12.1 The Dirichlet conditions: Chapter 12 Fourier series Advantages: describes functions that are not everywhere continuous and/or differentiable. represent the response…

Documents 12.2 Fourier Series Trigonometric Series is orthogonal on the interval [ -p, p]. In applications, we...

12.2 Fourier Series Trigonometric Series is orthogonal on the interval [ -p, p]. In applications, we are interested to expand a function f(x) defined on [-p, p] as a linear…