# An Axiomatic Approach to the Integral

Year of Award: 1994

Publication Information: The American Mathematical Monthly, vol. 100, 1993, pp. 16-25

Summary: This paper presents the integral as a result of a theorem following from simple axioms.  The approach is shown to be robust by further proving all of the usual theorems (and more) from these first principles.

About the Author: Leonard Gillman was at the University of Texas at the time of publication.

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Author (old format):
Leonard Gillman
Author(s):
Leonard Gillman
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Publication Date:
Tuesday, September 23, 2008
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Summary:
This paper presents the integral as a result of a theorem following from simple axioms. The approach is shown to be robust by further proving all of the usual theorems (and more) from these first principles.