Maths hacks
2016-08-18 — 2021-09-08
Wherein miscellaneous metamathematics is surveyed and practical problem-solving tricks are compiled, exemplified by matrix differentiation and the Cauchy residue trick for spectral analysis, with learning and pedagogy links.
faster pussycat
mathematics
Miscellaneous metamathematics.
How to solve mathematical problems, various sources.
- tricki, the mathematical trick wiki
- What would Terry do?
- How would John generalize what you are doing?
- What would Cosma be snarky about you not doing?
- Dan Rockmore advocates going for a jog/pumping iron.
Personal favourite tricks:
- Differentiate matrices.
- Use inequalities, especially probabilistic inequalities.
- Notebook of misc useful formulae.
- The Cauchy residue trick: spectral analysis made “easy”
See also various learning hacks, most saliently Edward Kmett, Learning to Learn.
1 Pedagogy
See teaching maths and statistics.
