The article on Riemann derivatives by P. L. Butzer and W. Kozakiewicz of 1954 was the basis to generalizations of the classical scalar-valued derivatives to Taylor, Peano, and Riemann derivatives in the setting of semigroup theory. The present paper gives an overview of the 1954 article, describes its influence, and integrates it into the literature on related problems. It also describes the state of the mathematics department at McGill University where the article was written.

中文翻译：

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1954 年 Butzer-Kozakiewicz 关于黎曼导数的文章及其影响

P. L. Butzer 和 W. Kozakiewicz 于 1954 年发表的关于黎曼导数的文章是在半群理论的背景下将经典标量值导数推广到泰勒、皮亚诺和黎曼导数的基础。本文对 1954 年的文章进行了概述，描述了其影响，并将其整合到相关问题的文献中。它还描述了撰写本文的麦吉尔大学数学系的状况。