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MAA Writing AwardsPage 1 of 1 An Axiomatic Approach to the IntegralYear 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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