Earlier quoted context omitted.
I'm wondering how useful deriving functions yourself is in the age of computers. I feel like knowing axioms about the mathematical structure you're dealing with and how to do proofs is very important, but it always struck me as odd that were still stepping through complex applied maths functions manually in pen and paper. Programmers don't bother say, writing our own hashtable implementation more than a handful of ti…
>stepping through complex applied maths functions manually in pen and paper. We do that because: A it helps us understand them better B it teaches us how to think, the way Feynman said "Know how to solve every problem that has been solved". Granted, it seems pointless to work through what is easily accessible through machine BUT it teaches how to solve new problems. I wouldn't consider using NumPy or Matlab as the fi…
edit-This is of course completely anecdotal experience.