Pi is less than 22/7: the backwards adventure.
A suitable definite integral can be found to prove that pi is less than 22/7. Who knows how this integral was originally cooked up but it was fun working on it in the reverse direction. It's amazing that we can prove this without knowing any value of pi at all. Watch part 2... • Ptolemy's value for Pi and Backhouse panca...
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Bertrand's paradox: one problem, three different answers!
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Euler's e-sequence is increasing: proof by Binomial Expansion!
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Another monster integral crushed with Feynman's trick!
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From Child Prodigy to Winning Fields Medal, Nobel of Math
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The Greatest Unsolved Problem In Mathematics
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Ptolemy's value for Pi and Backhouse pancake functions.
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Introduction to Infinite Series
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Walter B. Rudin: "Set Theory: An Offspring of Analysis"
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Why Do Determinants Count Trees?
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Introduction to the Gamma function & the Pi function (extending the factorial!)
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Only Video That Will Make You BETTER at MATH - 100%
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Complex Integration and Finding Zeros of the Zeta Function
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the famous goat problem
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Profound implications of Fermat's principle.
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The rational root theorem and its consequences.
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Why π is in the normal distribution (beyond integral tricks)
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What Lies Between a Function and Its Derivative? | Fractional Calculus
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Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations
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Differential Geometry is Impossible Without These 7 Things
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