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Life of Srinivasa Ramanujan1
K. Srinivasa Rao
THE INSTITUTE OF MATHEMATICAL SCIENCES C I T CAMPUS, THARAMANI, MADRAS - 600 113, INDIA
Srinivasa Ramanujan, the brilliant twentieth century
Indian mathematician, has been compared with all-time greats like Euler,
Gauss and Jacobi, for his natural mathematical genius.
It may be impossible to define who a mathematical genius is,
or, genius for that matter. But that does not prevent us from recognizing
the work of a genius, the rarest of the rare - like the Himalayan peaks
or the Niagara falls - which stands out in any field of human activity.
Despite his short life span,Ramanujan left behind an incredibly vast
and formidable amount of original work, which has greatly influenced
the development and growth of some of the best research work in mathematics
of this century. In this chapter we give a brief account of his life.
Ramanujan was born on December 22, 1887, at Erode,
to Komalathammal and K. Srinivasa Iyengar, who was an accountant
to a cloth merchant in Kumbakonam on a modest salary. He was the first
of three sons. He was sent to Kangeyam Primary School in Kumbakonam
at the age of seven. He stood first in the Tanjore District Primary
Examinations held in November, and this entitled him to a half-fee concession
in the Town High School at Kumbakonam, where he studied from 1898 to
1903. He passed the Matriculation Examination of the University of Madras
(1904). During his school days, he impressed his classmates,
senior students and teachers with his extraordinary intuition and astounding
proficiency in several branches of mathematics -- viz. arithmetic, algebra,
geometry, number theory and trigonometry. In later years a friend of
his recounted the following incident [1]: In an arithmetic class on
division, the teacher said that if three bananas were given to three
boys, each boy would get a banana. The teacher generalized this idea.
Ramanujan is said to have asked:
Sir, if no banana is distributed to no student,
Another friend who took private tuition from Ramanujan also recalled
[2] that Ramanujan used to ask about the value of zero divided by
zero and then answer that it can be anything since the zero of the
denominator may be several times the zero of the numerator and vice
versa and that the value cannot be determined. Once a senior school
student [1], posed the problem:
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