Continued Fractions, Their Properties and Applications -- Mohammad Moinul Haque, August 2, 2004

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In this talk, I will be discussing continued fractions, a topic in 
elementary number theory, and some of their interesting properties and 
applications.  In particular, continued fractions provide us with a 
different way of expressing real numbers that is revealing in many ways.  
For example, just a few applications of continued fractions include the 
infinitude of rational triangles with consecutive integer sides and the 
uncountability of the reals.