Measure and Integration

  • Ward Cheney
Part of the Graduate Texts in Mathematics book series (GTM, volume 208)


This chapter gives, in as brief a form as possible, the main features of measure theory and integration. The presentation is sufficiently general to cover Lebesgue measures and measures that arise in studying the continuous linear functionals on Banach spaces.


Measurable Function Measure Space Simple Function Outer Measure Monotone Convergence Theorem 


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Ward Cheney
    • 1
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

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