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Power Series

  • Rinaldo B. Schinazi
Chapter
  • 829 Downloads

Abstract

In this chapter we apply the results on uniform convergence to power series. In particular, we will justify some very useful calculus techniques such as term by term integration and term by term differentiation.

References

  1. B.R. Choe, An elementary proof of \(\sum _{n=1}^{\infty } 1/n^2 = \pi ^2/6\). Am. Math. Monthly 94, 662–663 (1987)Google Scholar
  2. R.B. Schinazi, From Calculus to Analysis (Birkhauser, Boston, 2011)zbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoColorado SpringsUSA

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