Every mathematician has only a few tricks (2020)
3 comments
·November 29, 2025tibbar
I think this is true for engineers as well! I enjoy getting to know the "theme" of my favorite coworkers over the years. There was:
* The fellow who always looked for the simplest hack possible. Give him the most annoying problem, he'd pause, go Wait a minute! and redefine it to have a very easy solution. He typed very slowly, but it didn't really matter.
* The one who truly loved code itself. He would climb mountains to find the most elegant, idiomatic way to express any program. Used the very best practices for testing, libraries, all that. He typed very fast.
* The former physicist who spent all his time reading obscure mailing lists on his favorite topics. His level of understanding of problems in his domains of interest was incredible.
I could go on and on! It's such a fun taxonomy to collect. All of these friends were marvelous at solving their particular flavor of problem.
As for myself, I like to think that my "trick" is to spend a long time poking at the structure of a problem. Eventually the solution I was looking for doesn't matter anymore, but the tools I developed along the way are pretty useful to everyone!
NedF
[dead]
One of the answers links https://www.tricki.org/, which describes itself as a 'Wiki-style site with a large store of useful mathematical problem-solving techniques.' no longer maintained, but looks neat.