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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ndltd-UTEXAS-oai-repositories.lib.utexas.edu-2152-ETD-UT-2009-08-1952015-09-20T16:53:58ZThe history and development of logarithmsBennett, Meaghan Whitleynatural logarithmlogarithmThis 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.text2010-06-04T14:46:24Z2010-06-04T14:46:24Z2009-082010-06-04T14:46:24ZAugust 2009thesisapplication/pdfhttp://hdl.handle.net/2152/ETD-UT-2009-08-195engCopyright 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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language |
English |
format |
Others
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natural logarithm logarithm |
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natural logarithm logarithm Bennett, Meaghan Whitley The history and development of logarithms |
description |
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 |
author |
Bennett, Meaghan Whitley |
author_facet |
Bennett, Meaghan Whitley |
author_sort |
Bennett, Meaghan Whitley |
title |
The history and development of logarithms |
title_short |
The history and development of logarithms |
title_full |
The history and development of logarithms |
title_fullStr |
The history and development of logarithms |
title_full_unstemmed |
The history and development of logarithms |
title_sort |
history and development of logarithms |
publishDate |
2010 |
url |
http://hdl.handle.net/2152/ETD-UT-2009-08-195 |
work_keys_str_mv |
AT bennettmeaghanwhitley thehistoryanddevelopmentoflogarithms AT bennettmeaghanwhitley historyanddevelopmentoflogarithms |
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1716820827673985024 |