Letters to a Young Mathematician (2011)

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as you put it, by your imminent move to university. Let me commend your good intuition on both counts. You’ll find the competition tougher, the pace faster, the work harder, and the content far more interesting. You’ll be thrilled by your teachers (some of them) and the ideas they lead you to discover, and daunted that so many of your classmates seem to get there ahead of you. For the first six months you’ll wonder why the school ever let you in. (After that you’ll wonder how some of the others ...were let in.) You asked me to tell you something inspirational. Nothing technical, just something to hold on to when the going gets tough.
Very well.
Like many mathematicians, I get my inspiration from nature. Nature may not look very mathematical; you don’t see sums written on the trees. But math is not about sums, not really. It’s about patterns and why they occur. Nature’s patterns are both beautiful and inexhaustible.
I’m in Houston, Texas, on a research visit, and I’m surrounded by math.


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