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Measurable Sets and Measurable Functions

  • Rinaldo B. Schinazi
Chapter
  • 837 Downloads

Abstract

The Riemann integral has multiple issues. In particular, too many functions are not Riemann integrable, interchange of limit and integral requires stringent hypotheses, and the Riemann integral does not provide a complete metric for continuous functions.

References

  1. G.B. Folland, Real Analysis, 2nd edn. (Wiley-Interscience, Hoboken, 1999)zbMATHGoogle Scholar
  2. S. Krantz, Real Analysis and Foundations (CRC Press, Boca Raton, 1991)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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