As part of my fundraising efforts for the Great Shave, I promised to write 500 words in praise of mathematics in return for some generations donations. I thought this would be the easiest of my promises to fulfil, but it’s actually pretty hard to write in praise of something that is (to me) so obviously wonderful. Anyway, here goes.
The most striking single thing about mathematics is that a collective endeavour, pursued for thousands of years primarily because of its beauty and pure intellectual interest should turn out, in our time, to be so amazingly useful. To take perhaps the most striking example, the amazing fact that
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or better still, with five fundamental constants
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is, or ought to be, adequate reward for all the effort that went into the discovery of calculus, trigonometry and complex number theory, and the effort each new generation puts into learning these things. But, it gives us, free of charge, the amazingly useful Fourier transform, the basis of all kinds of modern communications, and much, much more.
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