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arXiv · 1608.02616

The Calculus and Gauge Integrals, by Ralph Henstock

Ralph Henstock
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Abstract

Ralph Henstock (1923 - 2007), with (independently) Jaroslav Kurzweil, was the originator of the Riemann-complete or generalized Riemann integral. This material consists of four chapters of a book proposal to Cambridge University Press, which remained unpublished in the Henstock Archive at the University of Ulster. Section 5 presents a novel approach to taking limits under the integral sign, and goes on to place the traditional monotone and dominated convergence theorems of Lebesgue in this new context.

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Ralph Henstock. 2016-07-28. The Calculus and Gauge Integrals, by Ralph Henstock. https://arxiv.org/abs/1608.02616

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