In his senior seminar last Tuesday, Charles Michel showed that several of the key properties of continued fraction expansion and Diophantine approximations can be proven using Ford Circles and rewritten in terms of relationships between tangential Ford Circles. His presentation focused on the material presented by Ian Short in his article "Ford Circles, Continued Fractions, and Rational Approximations," which was published in The American Mathematical Monthly in February 2011. READ MORE...
Monday, March 16, 2015
Math Senior Seminar Presented "Ford Circles, Continued Fractions, and Rational Approximation"
In his senior seminar last Tuesday, Charles Michel showed that several of the key properties of continued fraction expansion and Diophantine approximations can be proven using Ford Circles and rewritten in terms of relationships between tangential Ford Circles. His presentation focused on the material presented by Ian Short in his article "Ford Circles, Continued Fractions, and Rational Approximations," which was published in The American Mathematical Monthly in February 2011. READ MORE...
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