On History of Epsilontics
Antiquitates Mathematicae, Tome 10 (2016).
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.
Source: 
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     author = {Galina Iwanowna Sinkiewicz},
     title = {On {History} of {Epsilontics}},
     journal = {Antiquitates Mathematicae},
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     year = {2016},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/ANME_2016__10_293231/}
}
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Galina Iwanowna Sinkiewicz. On History of Epsilontics. Antiquitates Mathematicae, Tome 10 (2016). https://geodesic-test.mathdoc.fr/item/ANME_2016__10_293231/