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Fourier Series

  • Phil DykeEmail author
Chapter
  • 8.8k Downloads
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

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.

Keywords

Generalized Fourier Series Linear Space Theory Piecewise Differentiability Piecewise Continuous Function Riemann-Lebesgue Lemma 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUK

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