Uniform Convergence and the Basic Operations of Analysis on Series and Families of Functions

  • Vladimir A. Zorich
Part of the Universitext book series (UTX)


This chapter is much simpler than the previous one. It can be studied independently and even much earlier. The chapter is devoted to the machinery of series, one of the most important technical tools of analysis. We consider different types of convergence of sequences and series of functions, and discuss conditions under which certain useful properties of functions persist after passing to a limit.

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Vladimir A. Zorich
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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