7. Integrals Relative to Lebesgue Measure

  1. Eric M. Vestrup

Published Online: 27 MAY 2008

DOI: 10.1002/9780470317112.ch7

The Theory of Measures and Integration

The Theory of Measures and Integration

How to Cite

Vestrup, E. M. (2003) Integrals Relative to Lebesgue Measure, in The Theory of Measures and Integration, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470317112.ch7

Publication History

  1. Published Online: 27 MAY 2008
  2. Published Print: 4 SEP 2003

ISBN Information

Print ISBN: 9780471249771

Online ISBN: 9780470317112

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Keywords:

  • riemann integral;
  • lebesgue integral;
  • lebesgue measure;
  • rudimentary section;
  • principles of semicontinuous functions

Summary

The prelims comprise:

  • Step Functions in Euclidean Space

  • The Riemann Integral, Part One

  • The Riemann Integral, Part Two

  • Change of Variables in the Linear Case

  • Semicontinuity