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

Authors :
Bråting, Kajsa
Source :
Archive for History of Exact Sciences; Sep2007, Vol. 61 Issue 5, p519-535, 17p, 2 Diagrams
Publication Year :
2007

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00039519
Volume :
61
Issue :
5
Database :
Complementary Index
Journal :
Archive for History of Exact Sciences
Publication Type :
Academic Journal
Accession number :
26034929
Full Text :
https://doi.org/10.1007/s00407-007-0005-7