A new look at E.G. Björling and the Cauchy sum theorem

Details A new look at E.G. Björling and the Cauchy sum theorem A new look at E.G. Björling and the Cauchy sum theorem

Sep 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ahes...61..519b&link_type=abstract

Archive for History of Exact Sciences (ISSN 0003-9519), Vol. 61, No. 5, p. 549 - 535 (2008)

Computer Science

History Of Science

Scientific paper

The author gives a new account of Björling's contribution to uniform convergence in connection with Cauchy's theorem on the continuity of an infinite series. Moreover, he gives a complete translation from Swedish into English of Björling's 1846 proof of the theorem. The 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 the interpretation of Cauchy's infinitesimals is discussed.

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