How to generate ALL the Pythagorean Triples, namely a^2+b^2=c^2 where a, b, c, are whole numbers? Here we will find all the solutions to a^2+b^2=c^2. This is a very classic number theory question and it is very suitable for high school algebra and geometry…

A 6 digit number abcdef has the following property. Make a table with 6 rows, where column i = 1, 2, 3, 4, 5, 6 is the number abcdef multiplied by i. (If the first row was 123456, the second row would be 123456 x 2 = 246912). The result is a Latin square:…

In this video, I use Cauchy’s integral formula to calculate a pretty crazy integral, without using residues! It’s pretty fascinating, enjoy!

This is another video of mine that was featured on blackpenredpen’s channel. In this video I calculate the derivative of 1/x but in many languages, enjoy!

A simple trick with some neat math behind it. More on Numberphile cards at: http://www.bradyharanblog.com/numberphile-playing-cards
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More cards video: http://bit.ly/Cards_Shuffling

This video features Anastasia…

Some of my favorite proofs of Pythagorean theorem. Enjoy:)

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Today’s video was motivated by an amazing animation of a picture of Homer…

In this video, I calculate an integral by converting it into a double integral and using Fubini’s theorem. Behold the power of multivariable calculus. Enjoy!

A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 20 m above ground? (b) 10 m above ground?

Chatterjee, Neil…

In this video (another Peyam Classic), I calculate the integral of 1/(x^4 + 1) using complex analysis, enjoy!

nth derivative of x*e^x. Proving this formula by induction, https://youtu.be/gpjcCPEN-tc

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