The original version of this story appeared in Quanta Magazine. Mathematics started with numbers—clear, concrete, intuitive. Over the last two centuries, however, it has become a far more abstract ...
I don’t typically write responses to other opinion pieces, but there was one two weeks ago about new techniques in elementary math education that has inspired me. The main complaint was that there are ...
What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...
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