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438 pages, Paperback
First published January 1, 1991
How many Ramanujans, his life begs us to ask, dwell in India today, unknown and unrecognized? And how many in America and Britain, locked away in racial or economic ghettos, scarcely aware of worlds outside their own?
Ramanujan's work grants direct pleasure to only a few - a few hundred mathematicians and physicists around the world, perhaps a few thousand. The rest of us must either sit on the sidelines, and, on the authority of the cognoscenti, cheer - or else rely on vague, metaphoric, and necessarily imprecise glimpses of his work.
...mathematics is not best learned passively; you don’t sop it up like a romance novel. You’ve got to go out to it, aggressive, and alert, like a chess master pursuing checkmate.
Ramanujan's notebooks formed a distinctly idiosyncratic record. In them even widely standardized terms sometimes acquired new meaning. Thus, an "example" — normally, as in everyday usage, an illustration of a general principle — was for Ramanujan often a wholly new theorem. A "corollary" — a theorem flowing naturally from another theorem and so requiring no separate proof — was for him sometimes a generalization, which did require its own proof. As for his mathematical notation, it sometimes bore scant resemblance to anyone else's.
You cannot say much about Ramanujan without resorting to the word self. He was self-willed, self-directed, self-made. Some might conceivably label him selfish for his preoccupation with doing the mathematics he loved without any great concern for the better of his family or his country...
Hardy discovered Ramanujan? Not at all: a glance at the facts of 1912 shows that Ramanujan discovered Hardy.
it was the strangeness of Ramanujan’s theorems that struck him first, not their brilliance. The Indian, he supposed, was just another crank. He was forever getting bizarre manuscripts from strangers that...pretended to prove the prophetic wisdom of the Great Pyramid, the revelations of the Elders of Zion, or the cryptograms that Bacon had inserted in the plays of the so-called Shakespeare.The amazing thing about Srinivasa Ramanujan was that he was that rare self-taught, obsessive crank who was the real deal. Out of step with modern mathematics, basing himself on a mediocre textbook that was out of date when it was new, he produced a universe of theorems, some of which were wrong, some trivial, but many so brilliant and so original that a whole journal today is dedicated to puzzling them out. He was "another Euler, another Jacobi".