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The derivative of a number (2014)


Are you kidding? Edward Barbeau is now a professor emeritus of mathematics at the University of Toronto. Over the years he has been working to increase the interest in mathematics in general, and e…

He has published several books that are targeted to help both students and teachers see the joys of mathematics: one is called Power Play; another Fallacies, Flaws and Flimflam; and another After Math. Investigations on the properties of the arithmetic derivative, which is a paper by Niklas Dahl, Jonas Olsson, and Alexander Loiko. I believe we can extend it to prove the same result in any ring where can be defined, possibly modulo issues about lack of unique factorization.

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