Pi's Irrationality from Basic Calculus
8:02
YouTubeRon & Math
Pi's Irrationality from Basic Calculus
Original proof by Ivan Niven: A Simple Proof that π is Irrational, Ivan Niven, Bulletin of the American Mathematical Society, 53 (1947), p. 509. --- 0:00 Introduction 0:29 Construct f(x) 3:28 Construct F(x) 6:12 Reflection of the Proof
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Proof that π is irrational Video
Π is an Irrational Number (True/False). - Mathematics | Shaalaa.com
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Tim Ricchuiti on Instagram: "Pi won’t start repeating after a trillion digits. And it’s not because we checked the digits. We know π is irrational from a proof going back to Lambert in the 1700s. His result shows that if tan(x) is rational (and x ≠ 0), then x must be irrational. But tan(π/4) = 1, and 1 is rational. So π/4 is irrational → π is irrational. #pi #irrationalnumbers #mathreels #mathproofs"
1:38
Tim Ricchuiti on Instagram: "Pi won’t start repeating after a trillion digits. And it’s not because we checked the digits. We know π is irrational from a proof going back to Lambert in the 1700s. His result shows that if tan(x) is rational (and x ≠ 0), then x must be irrational. But tan(π/4) = 1, and 1 is rational. So π/4 is irrational → π is irrational. #pi #irrationalnumbers #mathreels #mathproofs"
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