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Fourier Series

  • Luis BarreiraEmail author
  • Claudia Valls
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this chapter we introduce the notion of Fourier series of a given function. In particular, we study the convergence as well as the uniform convergence of Fourier series. We also show how to expand a sufficiently regular function as a series of cosines and as a series of sines. As a by-product of the theory, we obtain several identities expressing π and other numbers as series of real numbers.

Keywords

Real Number Partial Differential Equation Ordinary Differential Equation Fourier Analysis Fourier Series 
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 2012

Authors and Affiliations

  1. 1.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal

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