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dc.contributor.authorNorthshield, Sam
dc.date.accessioned2018-04-09T18:09:41Z
dc.date.accessioned2020-06-22T14:35:30Z
dc.date.available2018-04-09T18:09:41Z
dc.date.available2020-06-22T14:35:30Z
dc.date.issued2002
dc.identifier.citationNorthshield, S. (2002). Associativity of the Secant Method. American Mathematical Monthly, 109. https://doi.org/10.1080/00029890.2002.11919859en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12648/1118
dc.descriptionThis article has been published in the March 2002 issue of American Mathematical Monthly.en_US
dc.description.abstractIterating a function like 1+1/x gives a sequence which converges to the Golden Mean but does so at a much slower rate than those sequences derived from Newton's method or the secant method. There is, however, a surprising relation between all these sequences. This relation, easily explained by the use of good notation, is generalized by means of Pascal's "Mysterium Hexagrammicum". Throughout, we make contact with many areas of mathematics and physics including abstract groups, calculus, continued fractions, differential equations, elliptic curves, Fibonacci numbers, functional equations, fundamental groups, Lie groups, matrices, Moebius transformations, pi, polynomial approximation, relativity, and resistors.en_US
dc.languageen_USen_US
dc.language.isoen_USen_US
dc.publisherAmerican Mathematical Monthlyen_US
dc.titleAssociativity of the Secant Methoden_US
dc.typeArticleen_US
refterms.dateFOA2020-06-22T14:35:30Z
dc.description.institutionSUNY Plattsburgh


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