标题： 微积分与测度积分，由Ralph Henstock 显示英文标题

标题： The Calculus and Gauge Integrals, by Ralph Henstock

摘要： 拉尔夫·亨斯托克（1923 - 2007），与雅罗斯拉夫·库尔茨韦尔独立地，是黎曼完备或广义黎曼积分的创始人。 这部分内容包括一本向剑桥大学出版社提出的书籍的四章，该书在阿尔斯特大学的亨斯托克档案中未被发表。 第5节提出了一种在积分号下取极限的新方法，并继续将勒贝格的传统单调收敛定理和控制收敛定理置于这一新背景下。 显示英文摘要

摘要： 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 This material consists of four chapters of a book proposal to Cambridge University Press, which remained unpublished in the Henstock Archive at the University of Ulster.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.