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A new look at E.G. Björling and the Cauchy sum theorem
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. (Matematikens historia och didaktik)
2007 (English)In: Archive for History of Exact Sciences, ISSN 0003-9519, E-ISSN 1432-0657, Vol. 61, no 5, 519-535 p.Article in journal (Refereed) Published
Abstract [en]

We give a new account of Björling’s contribution to uniform convergence in connection with Cauchy’s theorem on the continuity of an infinite series. Moreover, we give a complete translation from Swedish into English of Björling’s 1846 proof of the theorem. Our intention is also to discuss Björling’s convergence conditions in view of Grattan-Guinness’ distinction between history and heritage. In connection to Björling’s convergence theory we discuss the interpretation of Cauchy’s infinitesimals.

Place, publisher, year, edition, pages
Springer , 2007. Vol. 61, no 5, 519-535 p.
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URN: urn:nbn:se:uu:diva-23472DOI: 10.1007/s00407-007-0005-7ISI: 000248912800003OAI: oai:DiVA.org:uu-23472DiVA: diva2:51246
Available from: 2007-01-29 Created: 2007-01-29 Last updated: 2011-11-19

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