Fourier Series

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


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.


Real Number Partial Differential Equation Ordinary Differential Equation Fourier Analysis Fourier Series 
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Copyright information

© Springer-Verlag London 2012

Authors and Affiliations

  1. 1.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal

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