Monthly Archives: September 2024

Rational Numbers

Posted on September 30, 2024 by Persiflage

In class we gave the “classic” proof that \(\sqrt{2}\) is irrational, but we also gave a different proof using analysis. For each pair of positive integers \([a,b]\) with \(a/b \in [0,1]\) with \(b > 1\), we considered the interval \[ … Continue reading →

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Hello World!

Posted on September 25, 2024 by Persiflage

This will be the class blog for 16100 in Autumn 2024, and will be an occasional supplement to the regular course lectures. (I started blogging about courses during the pandemic, but students find the blog useful so have continued to … Continue reading →

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