GBA Part 4: Toward Demystifying Binomial Coefficients and Vandermonde's Convolution.

This is Part 4 of Geometric Binomial Algebra, a uniquely organic research program in mathematics, physics and beyond. This video briefly continues the discussion on Vandermondes's convolution, but then takes a step back to look at how our notation for binomial coefficients might limit our conception, setting the stage for an additional way to think about them in terms of being embedded components within singular contexts broadly applicable to multinomial coefficients as a whole. The second half of that sentence will be further unpacked in Part 5. In Part 6, everyone is invited to a party on the Pascal Estate to watch the dream-team of Shijie, Gregory, Newton, Vandermonde and Polya, play Mathsketball on a strange sports court while we all wait for Euler to show up to tell us what the heck is going on.

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