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Integrals

  • Gerald A. Edgar
Chapter

Abstract

We will discuss the modern (twentieth-century) theory of integration. Just as the Lebesgue measure generalizes the classical ideas on areas and volumes, the Lebesgue integral generalizes and clarifies the classical ideas on the integral.

Keywords

Measure Space Borel Function Outer Measure Monotone Convergence Theorem Borel Space 
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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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Gerald A. Edgar
    • 1
  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

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