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- W1554936342 abstract "My decision to first read and study The Construction of the Wonderful Canon of Logarithms was not motivated by an interest in logarithms. I was trying to learn more about the origin of the natural exponential function. I had known Leonhard Euler (1707 − 1783) probably did the most to engender wide spread understanding and acceptance of modern exponential functions (including the natural exponential function), but John Napier had over one hundred years earlier written a couple of papers creating something he called logarithms, which through hindsight, we have learned have a very intimate relationship with the natural exponential function. I wanted to understand this relationship with the hope that it would help me understand the context in which the natural exponential function was born. I also discovered something unexpected. Napier’s Canon is a marvelous example of how engineering problems are solved in practice. Often times engineers are prohibited from directly applying textbook solutions because of the complexity of the problem. They, instead, make simplifying assumptions and estimate quantities of interest. Napier faced a similar situation. He defined logarithms, yet he could not directly compute them. So, he computed their estimates. His ability to do so, I believe, shows the real ingenuity and inspiration of John Napier. Throughout this paper, I have tried to preserve most of Napier’s original proofs and arguments, updating the language and mathematics where necessary. At the end, I added a section hopefully answering some nagging questions a modern reader might have about a 400 year old paper. Such as, why did Napier choose the word logarithm and how do Napierian logarithms relate to ordinary modern logarithms? I enjoy placing mathematics into historical context and I hope the reader gains a new understanding and appreciation of logarithms which goes beyond what is usually gleamed from modern texts." @default.
- W1554936342 created "2016-06-24" @default.
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- W1554936342 date "2002-05-20" @default.
- W1554936342 modified "2023-09-26" @default.
- W1554936342 title "Remembering John Napier and His Logarithms" @default.
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