Preprint Open Access
John Napier and Henry Briggs at the Threshold of Analysis
Michael Raugh
The logarithms of John Napier (1614) and Henry Briggs (1617) were landmarks in the history of mathematics, and their work is well known to math historians, but not so much to mathematicians who learn calculus from modern texts. This is odd because so many of the basic ideas of analysis are directly related to arithmetic techniques and concepts they employed or anticipated without calculus, and they can all be explained in algebraic terms with limiting values that are evident from calculus.
This study explores the underlying mathematics of Napier and Briggs in a manner that underscores some of the modern concepts inherent in their work. Codes written in a Basic-like language are provided to demonstrate the calculations using Casio's online Keisan Calculator.
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20220331-NapierBriggs-Threshold-OpPrPr-v3.pdf
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| Data volume | 252.2 MB | 124.6 MB |
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- Publication date:
- March 31, 2022
- DOI:
-
- Keyword(s):
- John Napier, Henry Briggs, natural logarithms, base-10 logarithms, Bernoulli numbers, early analysis
- License (for files):
- Creative Commons Attribution Non Commercial No Derivatives 4.0 International