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|DOI (Digital Object Identifier) Link:||http://doi.org/10.4169/amer.math.monthly.118.02.130|
|Google Scholar:||Look up in Google Scholar|
We give an elementary geometric proof using Ford circles of a well-known theorem of Lagrange, which says that the convergents of the continued fraction expansion of a real number α coincide with the rationals that are best approximations of α.
|Item Type:||Journal Article|
|Copyright Holders:||2011 The Mathematical Association of America|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Ian Short|
|Date Deposited:||16 Feb 2011 12:00|
|Last Modified:||06 Oct 2016 04:42|
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