The history and development of logarithms
This paper outlines the evolution of the logarithm from the days of Archimedes to the logarithm now used in modern mathematics. Each type of logarithm developed had its particular usefulness. The Archimedean logarithm helped astronomers by drastically shortening the time it took to multiply large nu...
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| Format: | Others |
| Language: | English |
| Published: |
2010
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| Online Access: | http://hdl.handle.net/2152/ETD-UT-2009-08-195 |
| Summary: | This paper outlines the evolution of the logarithm from the days of Archimedes to
the logarithm now used in modern mathematics. Each type of logarithm developed had
its particular usefulness. The Archimedean logarithm helped astronomers by drastically
shortening the time it took to multiply large numbers, while Napier’s logarithm could be
used as a tool to solve velocity problems. With the discovery of the number e, the natural
logarithm was developed. Due to the frequent use of e, many of the properties of
logarithms were defined to work nicely for the natural logarithm to make calculations
easier. This paper will explain the proofs and connections of such properties in a way
that could be presented in a calculus class. === text |
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