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If 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
by dsacco 9y ago
If 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.