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Познакомился с одним интересным человеком - профессором в местном университете. Долго говорили с ним о проблемах преподавания математики в школах, а под конец он признался, что написал книгу по истории этого вопроса. Очень информативно, a must read.

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Date: 2009-02-06 08:14 pm (UTC)
From: [identity profile] posic.livejournal.com
It likely is, particularly when one needs great precision. But it is not for the sake of efficiency that I am interested in such algorithms. I am satisfied with just having an algorithm for the square root resembling the division algorithm that I know. The most efficient algorithms are rarely the most interesting ones from a mathematician's point of view. E.g., there are beautiful algorithms for computing quantities like \pi and e based on the Euler-MacLaurin formula. They are fast enough to be used for demonstrative purposes in a classroom, but I've never heard about them being used for actual computations by the contemporary programmers or numerical analysts.

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