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The Historical Development of the Secant Method in 1-D

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Abstract:

Many people believe that the Secant Method arose out of the use of a finite difference approximation of the derivative in Newton's Method. However, historical evidence reveals that the Secant Method predated Newton's Method by over 3000 years. It was used to solve problems that could be represented as linear equations and was most commonly referred to as the Rule of Double False Position. In this paper, I trace the development of the Secant Method in 1-D and discuss how it evolved through many centuries and civilizations.
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Name: Mathematical Association of America
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http://www.maa.org


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URL: http://citation.allacademic.com/meta/p200044_index.html
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MLA Citation:

Papakonstantinou, Joanna. "The Historical Development of the Secant Method in 1-D" Paper presented at the annual meeting of the Mathematical Association of America, The Fairmont Hotel, San Jose, CA, Aug 03, 2007 <Not Available>. 2013-12-15 <http://citation.allacademic.com/meta/p200044_index.html>

APA Citation:

Papakonstantinou, J. , 2007-08-03 "The Historical Development of the Secant Method in 1-D" Paper presented at the annual meeting of the Mathematical Association of America, The Fairmont Hotel, San Jose, CA <Not Available>. 2013-12-15 from http://citation.allacademic.com/meta/p200044_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Abstract: Many people believe that the Secant Method arose out of the use of a finite difference approximation of the derivative in Newton's Method. However, historical evidence reveals that the Secant Method predated Newton's Method by over 3000 years. It was used to solve problems that could be represented as linear equations and was most commonly referred to as the Rule of Double False Position. In this paper, I trace the development of the Secant Method in 1-D and discuss how it evolved through many centuries and civilizations.

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