MAA Writing Awards
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.