Integrability of Multivariable Functions

  • Alberto Guzman


It is time to turn our attention to integrals. As is our habit, we will define them by analogy to the single-variable case. Also, we will organize the material as we did with derivatives. In the earlier chapters, we separated the definitions of differentiability and derivatives from discussion of their properties. We will do similarly with integrals, covering integrability in this chapter and properties of integrals in the next.


Interior Point Zero Measure Nonempty Interior Empty Interior Smooth Hypersurface 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Alberto Guzman
    • 1
  1. 1.Department of MathematicsThe City College of New York, CUNYNew YorkUSA

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