Pub Date : 2023-11-27DOI: 10.1080/07468342.2023.2282928
Sarmad Abbasi
{"title":"An Explicit Version of Saidak’s Argument for the Infinitude of Primes","authors":"Sarmad Abbasi","doi":"10.1080/07468342.2023.2282928","DOIUrl":"https://doi.org/10.1080/07468342.2023.2282928","url":null,"abstract":"","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"60 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139229644","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}
Pub Date : 2023-11-27DOI: 10.1080/07468342.2023.2282345
Ricardo E. Rojas
{"title":"A Two-for-One Deal on Rational Triangles","authors":"Ricardo E. Rojas","doi":"10.1080/07468342.2023.2282345","DOIUrl":"https://doi.org/10.1080/07468342.2023.2282345","url":null,"abstract":"","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"176 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139232869","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}
Pub Date : 2023-11-21DOI: 10.1080/07468342.2023.2271827
Cooper Young
{"title":"Cutting the Möbius Strip","authors":"Cooper Young","doi":"10.1080/07468342.2023.2271827","DOIUrl":"https://doi.org/10.1080/07468342.2023.2271827","url":null,"abstract":"","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139252677","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}
Pub Date : 2023-11-20DOI: 10.1080/07468342.2023.2278998
Jason Snyder
{"title":"A Modern Spin on Archimedes’ Quadrature of the Parabola","authors":"Jason Snyder","doi":"10.1080/07468342.2023.2278998","DOIUrl":"https://doi.org/10.1080/07468342.2023.2278998","url":null,"abstract":"","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"17 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139259463","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}
Pub Date : 2023-11-15DOI: 10.1080/07468342.2023.2279459
Todd G. Will
{"title":"Pentagons with Permutable Angles","authors":"Todd G. Will","doi":"10.1080/07468342.2023.2279459","DOIUrl":"https://doi.org/10.1080/07468342.2023.2279459","url":null,"abstract":"","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139273497","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}
Pub Date : 2023-10-20DOI: 10.1080/07468342.2023.2264744
{"title":"REFEREES IN 2023","authors":"","doi":"10.1080/07468342.2023.2264744","DOIUrl":"https://doi.org/10.1080/07468342.2023.2264744","url":null,"abstract":"","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"33 1","pages":"508 - 509"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139316288","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}
Pub Date : 2019-01-01DOI: 10.1080/07468342.2019.1535208
César A. Hernández Melo, Fernanda D. de Melo Hernández
Let f be a continuous function defined on an interval J . We say that a function δ from J × R+ to R+ is a delta-epsilon function for f on J , if for all p ∈ J and > 0, the number δ(p, ) satisfies the epsilon-delta definition of continuity of f at p for that . More precisely, δ(p, ) is such that for all x ∈ J with |x − p| < δ(p, ), then |f (x) − f (p)| < . Next, we provide necessary and sufficient conditions to analyze the uniform continuity of the function f based on the behavior of the function η : R+ → [0, ∞) given by
{"title":"Uniform Continuity: Another Way to Approach This Concept in the Classroom","authors":"César A. Hernández Melo, Fernanda D. de Melo Hernández","doi":"10.1080/07468342.2019.1535208","DOIUrl":"https://doi.org/10.1080/07468342.2019.1535208","url":null,"abstract":"Let f be a continuous function defined on an interval J . We say that a function δ from J × R+ to R+ is a delta-epsilon function for f on J , if for all p ∈ J and > 0, the number δ(p, ) satisfies the epsilon-delta definition of continuity of f at p for that . More precisely, δ(p, ) is such that for all x ∈ J with |x − p| < δ(p, ), then |f (x) − f (p)| < . Next, we provide necessary and sufficient conditions to analyze the uniform continuity of the function f based on the behavior of the function η : R+ → [0, ∞) given by","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124907331","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}
Pub Date : 2002-01-01DOI: 10.1080/07468342.2002.11921911
D. Bressoud
(2002). Was Calculus Invented In India? The College Mathematics Journal: Vol. 33, No. 1, pp. 2-13.
(2002)。微积分是在印度发明的吗?《大学数学学报》，第33卷第1期，第2-13页。
{"title":"Was Calculus Invented In India?","authors":"D. Bressoud","doi":"10.1080/07468342.2002.11921911","DOIUrl":"https://doi.org/10.1080/07468342.2002.11921911","url":null,"abstract":"(2002). Was Calculus Invented In India? The College Mathematics Journal: Vol. 33, No. 1, pp. 2-13.","PeriodicalId":121916,"journal":{"name":"The College Mathematics Journal","volume":"416 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123575451","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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