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
| Identifer | oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/ETD-UT-2009-08-195 |
| Date | 2009 August 1900 |
| Creators | Bennett, Meaghan Whitley |
| Source Sets | University of Texas |
| Language | English |
| Detected Language | English |
| Type | thesis |
| Format | application/pdf |
| Rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. |
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