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Published in:
2014 | OriginalPaper | Chapter
4. Fourier Series
Author : Phil Dyke
Published in: An Introduction to Laplace Transforms and Fourier Series
Publisher: Springer London
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Abstract
Before getting to Fourier series proper, we need to discuss the context. To understand why Fourier series are so useful, one uses the properties of an inner product space and that trigonometric functions are an example of one. It is the properties of the inner product space, coupled with the analytically familiar properties of the sine and cosine functions that give Fourier series their usefulness and power.