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This video continues on from part 1 and covers pure math concepts such as abstract algebra, real analysis, and topology. Those classes have less obvious real world applications than those discussed in the previous video and are much more proofs based.
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Applied Math Video: https://www.youtube.com/watch?v=mRxsfgilBKY
Square root of 2 Proof: https://www.youtube.com/watch?v=mX91_3GQqLY