Happy Pi Day (3/14)! Everyone knows that pi is an irrational number, but how do you prove it? This video presents one of the shortest proofs that pi is irrational, and the proof requires only high school calculus to understand.
Niven's proof
http://www.ams.org/journals/bull/1947-53-06/S0002-9904-1947-08821-2/S0002-9904-1947-08821-2.pdf
http://mathschallenge.net/full/irrationality_of_pi
https://wp.me/p6aMk-8jZ
Images
https://en.wikipedia.org/wiki/Archimedes#/media/File:Archimedes_Palimpsest.jpg
https://en.wikipedia.org/wiki/File:%E4%B9%9D%E7%AB%A0%E7%AE%97%E8%A1%93%E7%B4%B0%E8%8D%89%E5%9C%96%E8%AA%AA.jpg
https://en.wikipedia.org/wiki/William_Jones_(mathematician)#/media/File:Synopsis_Palmariorum_Matheseos_pi.jpg
https://commons.wikimedia.org/wiki/File:LambertContinuedFraction.JPG
References
https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational
https://en.wikipedia.org/wiki/Aryabhata#Approximation_of_%CF%80
http://www.sccfsac.org/science_math.html
https://wp.me/p6aMk-8jZ
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