Integrals of Scalar Functions

Alberto Guzman
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Alberto Guzman: The City College of New York, CUNY, Department of Mathematics

Chapter 5 in Derivatives and Integrals of Multivariable Functions, 2003, pp 135-200 from Springer

Abstract: 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.

Keywords: Scalar Function; Surface Integral; Line Integral; Uniform Continuity; Inverse Function Theorem (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-1-4612-0035-2_5

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