When Descartes Challenged Fermat (and Lost)

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This video is long, forty-seven minutes, but totally worth it. There is some history. The historical mathematics is given in full, and you can see how Fermat kinda, nearly, maybe invented calculus before Newton and Leibniz. What adds to the fun is that the video fully describes Descartes approach first. It is ingenious and pretty cool, which sets the stage for the final showdown...