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"Réduites à des théories générales, les mathématiques seraient une belle forme sans contenu." ("Reduced to general theories, mathematics would be a beautiful form without content.")

-- Lebesgue

"I am convinced that the unwritten knowledge scattered among men of different callings surpasses in quantity and in importance anything we find in books, and that the greater part of our wealth has yet to be recorded."

-- Leibniz

$\bullet$ Do many calculations.

$\bullet \bullet$ Ask yourself concrete questions whose answer is a number.

$\bullet \bullet \bullet$ Learn a reasonable number of formulas by heart.

$\bullet \bullet \bullet \bullet$ Beware the illusion that nice general theorems are the ultimate goal in your subject.

Shut up and calculate! (Taken from here.)


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