{"title":"Sequences and Series of Functions","authors":"D. Cunningham","doi":"10.1201/9781003091363-8","DOIUrl":"https://doi.org/10.1201/9781003091363-8","url":null,"abstract":"","PeriodicalId":262028,"journal":{"name":"Real Analysis: With Proof Strategies","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134636597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Real Numbers","authors":"Daniel W. Cunningham","doi":"10.2307/j.ctv14163vk.6","DOIUrl":"https://doi.org/10.2307/j.ctv14163vk.6","url":null,"abstract":"0. In their constructions, the Egyptians use the rational approximation for the irrational π ≈ 22 7 number. π ≈ 3 141592. ...... a. What is the relative error of their approximation? 1. Consider the number. 3 a. Carefully explain the meaning of the number to an elementary school student: 3 is the number that 3 b. Using a compass and straightedge only, give a formal construction of (a segment with length) 3 c. Using pencil and paper only, approximate the decimal value of by bisection 3 (interval halving). Show all intermediate results.","PeriodicalId":262028,"journal":{"name":"Real Analysis: With Proof Strategies","volume":"105 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116414938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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