Linear Algebraic Approach to Formulate A New Recurrence Relation for Bernoulli
Numbers from the Power-Sum of Natural Numbers with Experiments on Pedagogy
{"title":"Linear Algebraic Approach to Formulate A New Recurrence Relation for Bernoulli\nNumbers from the Power-Sum of Natural Numbers with Experiments on Pedagogy","authors":"Md. Shafiqul Islam, S. Bhowmick","doi":"10.52280/pujm.2021.530802","DOIUrl":null,"url":null,"abstract":"In this article, a new recurrence relation formula for Bernoulli\nnumbers have been derived, and sum of integer exponents of natural numbers has been revisited from this novel perspective. Some interesting pedagogical experiments on wording and presentation of mathematical derivation have been attempted, and development from first principle have been\nundertaken in line with this experimental approach.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2021.530802","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, a new recurrence relation formula for Bernoulli
numbers have been derived, and sum of integer exponents of natural numbers has been revisited from this novel perspective. Some interesting pedagogical experiments on wording and presentation of mathematical derivation have been attempted, and development from first principle have been
undertaken in line with this experimental approach.