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Albert Einstein is said to have stated: “If you can’t explain it simply, you don’t understand it well enough.” i say : pedagogy is as important as mathematics.
That’s when you ask for their proof.
the fun thing about this is that the textbooks get more judgy the more advanced the material gets. heres an example from a graduate level algebra textbook by lang.
I just absolutely love the transition from the bottom left bit to the next one. Diffemples.
Maths*