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MF54: The Binomial theorem

The Binomial theorem is a key result in elementary algebra, arising naturally from the Distributive law. We connect Pascal's triangle to the difference table of triangular numbers. The entries are related to paths in a two dimensional array using only two types of steps.This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is at http://www.youtube.com/playlist?list=PL5A714C94D40392AB&feature=view_all
Length: 09:58

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