{"title":"On History of Epsilontics","authors":"Galina Iwanowna Sinkiewicz","doi":"10.14708/AM.V10I0.805","DOIUrl":null,"url":null,"abstract":"This is a review of genesis of „e-δ\" language in works of mathematicians of the 19th century. It shows that although the symbols e and δ were initially introduced in 1823 by Cauchy, no functional relationship for δ as a function of e 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. Normal 0 21 false false false PL X-NONE X-NONE /* Style Definitions */ \n table.MsoNormalTable \n {mso-style-name:Standardowy; \n mso-tstyle-rowband-size:0; \n mso-tstyle-colband-size:0; \n mso-style-noshow:yes; \n mso-style-priority:99; \n mso-style-parent:\"\"; \n mso-padding-alt:0cm 5.4pt 0cm 5.4pt; \n mso-para-margin-top:0cm; \n mso-para-margin-right:0cm; \n mso-para-margin-bottom:10.0pt; \n mso-para-margin-left:0cm; \n line-height:115%; \n mso-pagination:widow-orphan; \n font-size:11.0pt; \n font-family:\"Calibri\",\"sans-serif\"; \n mso-ascii-font-family:Calibri; \n mso-ascii-theme-font:minor-latin; \n mso-hansi-font-family:Calibri; \n mso-hansi-theme-font:minor-latin; \n mso-bidi-font-family:\"Times New Roman\"; \n mso-bidi-theme-font:minor-bidi; \n mso-fareast-language:EN-US;}","PeriodicalId":429168,"journal":{"name":"arXiv: History and Overview","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14708/AM.V10I0.805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
This is a review of genesis of „e-δ" language in works of mathematicians of the 19th century. It shows that although the symbols e and δ were initially introduced in 1823 by Cauchy, no functional relationship for δ as a function of e 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. Normal 0 21 false false false PL X-NONE X-NONE /* Style Definitions */
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