Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820
type: Item
instance of: scholarly article
title: Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820
zbMATH Open document ID: 0766.01011
DOI: 10.1007/BF00329867
author: Detlef Laugwitz
published in: Archive for History of Exact Sciences
publication date: 1993-02-09T00:00:00Z
review text: This article contains a collection of topics on the foundations of calculus as laid down by Euler in the eighteenth century and refined by the French mathematicians in the early nineteenth century. The topics are considered from a philosophical point of view, with emphasis on the issues involved in the use of infinitesimals and defining the concept of limit. Comparisons between Euler's treatment of a topic in the eighteenth century and Cauchy's treatment of those same topics 75 or 100 years later are particularly interesting and enlightening.
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 01A55
zbMATH DE Number: 110351
zbMATH Keywords: concept of limit
zbMATH Keywords: infinitesimals
zbMATH Keywords: Euler
zbMATH Keywords: Cauchy
reviewed by: Roger L. Cooke
MaRDI profile type: Publication
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Wikidata QID: Q55877842
description: scientific article; zbMATH DE number 110351