Integrals of Scalar Functions

  • Alberto Guzman


Having defined integrability and integrals, we turn next to their properties and to extensions. Some of the properties are general, and reflect the way we expect integrals to behave. Two are specific, and address a need: we defined integrals, but did not say how a typical integral might be evaluated. We will show that two methods familiar from elementary calculus apply to the objects we have defined. More important, we extend the notion of integral to a whole new variety of functions and domains.


Scalar Function Surface Integral Line Integral Uniform Continuity Inverse Function Theorem 
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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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