From Wikipedia: "[Proofs] were mostly written up without any derivations. ... Since paper was very expensive, Ramanujan would do most of his work ... on slate, and then transfer just the results to paper." A tragedy on multiple levels we're still paying for a hundred years later.
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When I first read this I missed the bit about Ramanujan, and my initial thought was "is this a crackpot or is he for real?", which I imagine was probably Hardy's first impression. While Ramanujan’s brilliance was enough to shine through, I suspect many others were not so lucky.
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It was, but the claimed results were so wild that Hardy concluded that the writer was either a mathematical genius or a fraud of genius. Math geniuses are much more common, so Hardy decided to write back. Others earlier had not.
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Both Hardy & Littlewood surmised that the results “must be correct, no one would have the imagination to make them up”. He was a brilliant & intuitive mathematician. A Genius
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I wish this kind of humbleness was appreciated today.
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makes you think of all the talent that must've been wasted (or, in fact, is being wasted right this moment) around the world...
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I think even more impressive about his work, is how he combated the geographic inequality. Somebody being an independent researcher in US or UK at that time though difficult is not entirely impossible. Somebody like Ramanujam with his background in india, is unheard of even now.
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"The man who knew infinity" - one of my most favorite books.
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Overall, his perfectness/intelligence in Mathematics was not just by being a born genius, but also due to his enormous amounts of hard work and complete devotion to this subject.. What I understand from the book on him, is that he loved Mathematics and kept his curiosity alive.
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