Sequences and Series

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


This chapter gives an introduction to the study of sequences and series, both of complex and real numbers. We note that the convergence of sequences and series of complex numbers can always be reduced to the convergence of sequences and series of real numbers. We also consider the uniform convergence of functions, and we show that in the presence of uniform convergence both limits and series commute with the integral.

Copyright information

© Springer-Verlag London 2012

Authors and Affiliations

  1. 1.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal

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