To those of you who have learned from math textbooks: If you could go back in time, what do you wish you could tell your younger self about how to read them more effectively?
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Replying to @3blue1brown
"I was never a great reader; even now I have difficulty reading mathematics." ~ Peter Lax
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Replying to @MathPrinceps @3blue1brown
"It is always the case, with mathematics, that a little direct experience of thinking things over on your own can provide a much deeper understanding than merely reading about them." ~ Roger Penrose
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Replying to @MathPrinceps @3blue1brown
"I have never read much mathematical literature. I operated mostly by looking at certain papers to see what various people were up to, and to see what I could understand, and then to build on this in my way." ~ Atle Selberg
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Replying to @MathPrinceps @3blue1brown
"At least in my own case, understanding mathematics doesn't come from reading or even listening. It comes from rethinking what I see or hear. I must redo the mathematics in the context of my particular background." ~ Stephen Smale
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Replying to @MathPrinceps @3blue1brown
"I don’t really learn anything properly unless I’ve gone through a sort of personal process of rediscovery." ~ Timothy Gowers
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Replying to @MathPrinceps @3blue1brown
"It seems to me then, in repeating a reasoning learned, that I could have invented it. This is often only an illusion; but even then, even if I am not so gifted as to create it by myself, I myself reinvent it in so far as I repeat it." ~ Henri Poincaré
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Replying to @MathPrinceps @3blue1brown
"In mathematics, in my view, the first thing to know is that one doesn’t become a mathematician by learning; one becomes a mathematician by doing mathematics." ~ Alain Connes
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Replying to @MathPrinceps @3blue1brown
"The mathematical literature is useful in that it provides clues, and one can often use these clues to put together a cogent picture. When I have reorganized the mathematics in my own terms, then I feel an understanding, not before." ~ Stephen Smale
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Replying to @MathPrinceps @3blue1brown
"It appears to me that if one wants to make progress in mathematics one should study the masters and not the pupils." ~ Niels Henrik Abel
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"Nothing is more important than to see the sources of invention, which, in my opinion, are more interesting than the inventions themselves." ~ Gottfried Wilhelm von Leibniz
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