Definitely Infinitesimal: Foundations of the Calculus in The Netherlands, 1840-1870

Annals of Science 58 (1):1-15 (2001)
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Abstract

The foundations of analysis offered by Cauchy and Riemann were not immediately welcomed by the mathematical community. Before 1870 the foundations of mathematics were considered more or less a national affair. In this paper, Dutch ideas of rigour in analysis between 1840 and 1870 will be discussed. These ideas show that Dutch mathematicians were aware of developments abroad but preferred the concept of infinitesimals as a foundation of mathematics

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10.1080/000337901457678

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