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Changes of Variable

  • Daniel W. Stroock

Abstract

We have now developed the basic theory of Lebesgue integration. However, thus far we have nearly no tools with which to compute the integrals which we have shown to exist. The purpose of the present chapter is to introduce a technique which often makes evaluation, or at least estimation, possible. The technique is that of changing variables. In this introduction, we describe the technique in complete generality. In ensuing sections we will give some examples of its applications.

Keywords

Compact Subset Surface Measure Divergence Theorem Smooth Region Finite Measure 
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

© Daniel W. Stroock 1994

Authors and Affiliations

  • Daniel W. Stroock
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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