On History of Epsilontics

Galina Iwanowna Sinkiewicz. "On History of Epsilontics." Antiquitates Mathematicae 10 (2016): null. <http://eudml.org/doc/293231>.

@article{GalinaIwanownaSinkiewicz2016,
abstract = {This is a review of genesis of „ε-δ" language in works of mathematicians of the 19th century. It shows that although the symbols ε and δ were initially introduced in 1823 by Cauchy, no functional relationship for δ as a function of ε was ever ever specified by Cauchy. It was only in 1861 that the epsilon-delta method manifested itself to the full in Weierstrass de\_nition of a limit. The article gives various interpretations of these issues later provided by mathematicians. This article presents the text [Sinkevich, 2012d] of the same author which is slightly redone and translated into English.},
author = {Galina Iwanowna Sinkiewicz},
journal = {Antiquitates Mathematicae},
keywords = {History of mathematics, analysis, continuity, Lagrange, Ampére, Cauchy, Bolzano, Heine, Cantor, Weierstrass, Lebesgue, Dini},
language = {eng},
pages = {null},
title = {On History of Epsilontics},
url = {http://eudml.org/doc/293231},
volume = {10},
year = {2016},
}

TY - JOUR
AU - Galina Iwanowna Sinkiewicz
TI - On History of Epsilontics
JO - Antiquitates Mathematicae
PY - 2016
VL - 10
SP - null
AB - This is a review of genesis of „ε-δ" language in works of mathematicians of the 19th century. It shows that although the symbols ε and δ were initially introduced in 1823 by Cauchy, no functional relationship for δ as a function of ε was ever ever specified by Cauchy. It was only in 1861 that the epsilon-delta method manifested itself to the full in Weierstrass de_nition of a limit. The article gives various interpretations of these issues later provided by mathematicians. This article presents the text [Sinkevich, 2012d] of the same author which is slightly redone and translated into English.
LA - eng
KW - History of mathematics, analysis, continuity, Lagrange, Ampére, Cauchy, Bolzano, Heine, Cantor, Weierstrass, Lebesgue, Dini
UR - http://eudml.org/doc/293231
ER -