A new look at E.G. Björling and the Cauchy sum theorem
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
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.
IdentifiersURN: urn:nbn:se:uu:diva-23472DOI: 10.1007/s00407-007-0005-7ISI: 000248912800003OAI: oai:DiVA.org:uu-23472DiVA: diva2:51246