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Measure

  • A. Mukherjea
  • K. Pothoven
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG)

Abstract

The concept of measure is an extension of the concept of length: The measure of an interval in R is usually its length; the measure of a polygon in R 2 is usually its area; and so on. The problem of extending the classes of sets for which the notions of length, area, etc. are defined to larger classes of sets for which these notions are still defined gave rise to the general theory of measure.

Keywords

Lebesgue Measure Finite Measure Outer Measure Lebesgue Measure Zero Pairwise Disjoint Interval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. H. Lebesgue, Intégrale, longueur, aire, Ann. Mat. Pura Appl. 7 (3), 231–359 (1902).CrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • A. Mukherjea
    • 1
  • K. Pothoven
    • 1
  1. 1.University of South FloridaTampaUSA

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