Re:Foundations of Data Science [pdf]
by davidivadavid on Tuesday October 11, 2016 @05:51AM
(#12682832)
I should probably not have been sarcastic, especially when I agree completely about the importance of looking at math with a more constructive/computational point of view.
Now, I'm not a mathematician or a scientist of any kind, merely a dilettante textbook reader, but I'm not sure that approach is sufficient, or even most efficient to teach all subjects.
I think it arises naturally when you approach subjects where it's directly relevant: engineering, complexity theory, type theory, etc. and people who will need those insights will get them in due time.
But yeah, broadening the audience could help people get a better appreciation of the connections between pure and applied math.
As an example of what I am talking about, the book "Structure and Interpretation of Classical Mechanics" (a cousin to SICP) tries to teach classical mechanics with the help of computer programs. But this approach remains unconventional.