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Volume 26 (2024)
Volume 26, Issue 2 (In Progress)
Pg 71 - 124 (December 2024)
Volume 26, Issue 1
Pg 1 - 70 (June 2024)
Volume 25 (2023)
Volume 25,
Pg 1 - 72 (December 2023)
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Volume 24,
Pg 1 - 50 (June 2023)
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Far East Journal of Mathematical Education
Far East Journal of Mathematical Education
Volume 4, Issue 2, Pages 151 - 156 (May 2010)
CONTINUED FRACTIONS AND SQUARE ROOT APPROXIMATIONS
Blayne Carroll and Eric L. Mcdowell
Abstract:
This article demonstrates how continued fraction representations of solutions to quadratic equations arise naturally from “errors” commonly made by beginning algebra students. With a bit more work, these students can be directed toward “discovering” continued fraction representations of square roots. A proof is provided which demonstrates that these resulting continued fractions always converge.
Keywords and phrases:
continued fractions, square roots, approximation, equation solving.
Number of Downloads:
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P-ISSN: 0973-5631
E-ISSN: 2583-343X
Journal Stats
Publication count:
326
Citation count (Google Scholar):
419
h10-index (Google Scholar):
11
h-index (Google Scholar):
10
Downloads :
93311
Views:
269926
Downloads/publish articles:
286.23
Citations (Google Scholar)/publish articles:
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