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Integrals of Scalar Functions

In: Derivatives and Integrals of Multivariable Functions

Author

Listed:
  • Alberto Guzman

    (The City College of New York, CUNY, Department of Mathematics)

Abstract

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.

Suggested Citation

  • Alberto Guzman, 2003. "Integrals of Scalar Functions," Springer Books, in: Derivatives and Integrals of Multivariable Functions, chapter 5, pages 135-200, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0035-2_5
    DOI: 10.1007/978-1-4612-0035-2_5
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