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I would amend as follows: Skip abstract algebra, topology and analysis. If you find yourself in the same room as a number theory book, walk away slowly without
by alexbeloi 9y ago
I would amend as follows:
Skip abstract algebra, topology and analysis. If you find yourself in the same room as a number theory book, walk away slowly without making eye contact lest it cast a spell on you.
- dsacco 9y agoIf you skip analysis and at least elementary topology your understanding will be limited to discrete probability, at best. If you skip abstract algebra, you’ll miss out on a lot of buildup to advanced linear transformations and operations in vector spaces. Sure, skip number theory. Like I said, you could swap that out.
- alexbeloi 9y agoYou could also spend months of your life learning the intricacies of measure theory, but then every measure in probability is a positive sigma-additive unit measure. One can learn the necessary topology, analysis (etc.) in the relevant places (and the relevant depths) that they come up.