In school I have learned from early on that pi is irrational, but is there a simply proof which I could understand to show that this is the case. I am doing HL Maths (IB, with discrete as the option topic), so ideally kept it at the high school level if possible. Thanks.
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I don't know what "HL maths" is, but I'm guessing you know a bit of calculus: derivatives and integrals, right? – YoTengoUnLCD Mar 05 '16 at 15:30
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How is this one: https://projecteuclid.org/download/pdf_1/euclid.bams/1183510788 – Sarvesh Ravichandran Iyer Mar 05 '16 at 15:33
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The above is a proof by Ivan Niven. The first proof that $\pi$ is transcendental was given by Lindemann in 1882, and involved some quite complicated calculus. At least you should understand this. If not, read up what you don't understand, and see why the above proof is simply wonderful. – Sarvesh Ravichandran Iyer Mar 05 '16 at 15:35
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Wikipedia has a nice list of prooofs. – Steven Alexis Gregory Mar 05 '16 at 15:41