Is numerical analysis pure math?
>>10718724Depends on the type of numerical analysis. There is pure numerical analysis if your concern is more for the analysis than the computation. Like ascertaining error bounds and such. Once you're talking about actually computing something it's no longer pure.
>>10718724There is a belief in the mathematical community that if you approximation given from analysis could be computed out by a computer, then for some reason you are an applied mathematician. It doesn't particularly make sense to think of it this way. Algorithmic approaches to analysis are can be highly theoretical. Even so, people who call themselves "purists" avoid computing whenever possible. I think it is mostly a fear that the theory will not be relevant to the greater mathematical community if it turns out computing is infeasible in a given theory. So instead of addressing it the they avoid it.
No. It is something you apply when you do grocery shopping.
>>10718724If dubs, maybe
>>10718735Is computing cohomology groups of actual, specific topological spaces not pure?