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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Main Author:	Bennett, Meaghan Whitley
Format:	Others
Language:	English
Published:	2010
Subjects:	natural logarithm logarithm
Online Access:	http://hdl.handle.net/2152/ETD-UT-2009-08-195

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spelling	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.
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	natural logarithm logarithm
spellingShingle	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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The history and development of logarithms

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