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Invention And Relevant History Analysis Of The Logarithm

Posted on:2013-12-18Degree:MasterType:Thesis
Country:ChinaCandidate:S L ChenFull Text:PDF
GTID:2230330371970300Subject:Basic mathematics
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Logarithm is one of the most important part of elementary math-ematics, which has a certain status and research value in the history ofmathematics. Based on the previous work and existing literature, thispaper conducts a more detailed discussion and research on the history oflogarithm. The main work is as follows:Fristly, through the analysis of relevant work conducted by Archimedesand Stifel etc, we find that their thoughts have provided some enlighten-ment for the final invention of logarithm.Secondly, this paper studies the work of Napier and Burgi and pointsout that logarithm was invented by Napier throgh geometric methods,while Burgi employed algebra way. Meanwhile, A comparative analysis ismade about their relevant work.Thirdly, this paper elaborates Briggs’s invention process of commonlogarithm, discusses its development and impact in Europe, and reveal thatit is more pravtical than Napier’s logarithm.Fourthly, this paper studies the birth of natural logarithm and ana-lyzes its geometric model as well as Bernoulli model at the bottom of e,in order to help peple have a deeper understanding of them. At the same time the importance of constant e in the history of mathematics is alsodisplayed.Lastly, this paper briefly explores the logarithmic theory of plural andclarifies the debates about plural logarithmic among leibniz, bernoulli andeuler. So that peple can further understand logarithm.
Keywords/Search Tags:logarithm, common logarithm, natural logarithm, plural
PDF Full Text Request
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