ramanujan

Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package.

Plenty of mathematicians, Hardy knew, could follow a step-by-step discursus unflaggingly__et counted for nothing beside Ramanujan. Years later, he would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.

For self-educated scientists and thinkers such as Charles Darwin, Srinivasa Ramanujan, Leonardo-da-Vinci, Michael Faraday, myself and many others, education is a relentless voyage of discovery. To us education is an everlasting quest for knowledge and wisdom.

No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man's game. _ Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-three, Riemann at forty. There have been men who have done great work later; _ [but] I do not know of a single instance of a major mathematical advance initiated by a man past fifty. _ A mathematician may still be competent enough at sixty, but it is useless to expect him to have original ideas.