3. A Brief Introduction to Lebesgue Theory

  1. William C. Bauldry

Published Online: 7 SEP 2011

DOI: 10.1002/9781118164419.ch3

Introduction to Real Analysis: An Educational Approach

Introduction to Real Analysis: An Educational Approach

How to Cite

Bauldry, W. C. (2009) A Brief Introduction to Lebesgue Theory, in Introduction to Real Analysis: An Educational Approach, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118164419.ch3

Publication History

  1. Published Online: 7 SEP 2011
  2. Published Print: 25 JUN 2009

ISBN Information

Print ISBN: 9780470371367

Online ISBN: 9781118164419

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Keywords:

  • Lebesgue theory;
  • integral;
  • length;
  • area;
  • Riemann integral

Summary

This chapter contains sections titled:

  • Lebesgue Measure and Measurable Sets

  • The Lebesgue Integral

  • Measure, Integral, and Convergence

  • Littlewood's Three Principles