Imagine that you are on a street with houses marked 1 through n. There is a house in between (x) such that the sum of the house numbers to the left of it equals the sum of the house numbers to its right. If n is between 50 and 500, what are n and x?' This is a bivariate problem with multiple solutions. Ramanujan thought about it and gave the answer with a twist: He gave a continued fraction. The unusual part was that it was the solution to the whole class of problems. Mahalanobis was astounded and asked how he did it. 'It is simple. The minute I heard the problem, I knew that the answer was a continued fraction. Which continued fraction, I asked myself. Then the answer came to my mind', Ramanujan replied."[110][111]
A biography of the brilliant, self-taught Indian mathematician Iyengar Srinivasa Ramanujan (1887-1920), who moved from the world of South India to the world of Cambridge U., where he formed a famous friendship with the legendary G.H. Hardy, and produced some of the most beautiful work in the history of mathematics. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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