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I believe in applications and theory going hand in hand together and benefiting each other. The computer is an incredibly powerful tool perfectly suited for thi
by auggierose 6y ago
I believe in applications and theory going hand in hand together and benefiting each other. The computer is an incredibly powerful tool perfectly suited for this purpose. If we resist the urge to just see it as a push-button technology. Viewing matrices as a box of numbers instead of as a representation of a linear transformation leans too much in the direction of push-button for my taste.
- jacobolus 6y agoGil Strang does not view matrices as “just boxes of numbers”, nor does he teach that view. YMMV, but I find pure mathematicians treat computers as “push-button technology” much more than applied mathematicians.
- auggierose 6y agoI am not disagreeing with you there when it comes to pure mathematicians :-D Edit: But there are of course big exceptions there as well, for example Thomas Hales.