Srinivasa Ramanujan
(22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who,
with almost no formal training in pure mathematics, made extraordinary
contributions to mathematical
analysis, number
theory, infinite
series, and continued
fractions. Living in India with no access to the larger mathematical community,
which was centred in Europe at the time, Ramanujan
developed his own mathematical research in isolation. As a result, he
rediscovered known theorems in addition to producing new work. Ramanujan was said to be a natural genius
by the English mathematician G. H. Hardy, in the same league as
mathematicians such as Euler and Gauss.
Ramanujan
was born at Erode, Madras
Presidency (now Tamil
Nadu) in a Tamil family.
His introduction to formal mathematics began
at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry written
by S.
L. Loney that
he mastered by the age of 12; he even discovered theorems of
his own, and re-discovered Euler's identity independently. He
demonstrated unusual mathematical skills at school, winning accolades and
awards. By 17, Ramanujan had conducted his own mathematical research on Bernoulli
numbers and
the Euler–Mascheroni
constant.
Ramanujan
received a scholarship to study at Government College in Kumbakonam,
which was later rescinded when he failed his non-mathematical coursework. He
joined another college to pursue independent mathematical research. During the
same time, Diwan
Bahadur R. Ramachandra Rao, ICS; who was a keen mathematician and served as
President of the Indian Mathematical Society himself; assisted Ramanujan in
getting a clerical job in the Accountant-General's office at the Madras Port
Trust Office to support himself. In 1912–1913, he sent samples of his
theorems to three academics at the University of Cambridge. G.
H. Hardy, recognising the brilliance of his work, invited Ramanujan to visit
and work with him at Cambridge.
He became a Fellow
of the Royal Society and
a Fellow of Trinity
College, Cambridge. Ramanujan died of tuberculosis caused
by illness and malnutrition in 1920 at the age of 32.
During
his short life, Ramanujan independently compiled nearly 3900 results (mostly identities and equatio ns). Nearly
all his claims have now been proven correct, although a small number of these
results were actually false and some were already known. He
stated results that were both original and highly unconventional, such as the Ramanujan
prime and
the Ramanujan
theta function, and these have inspired a vast amount of further research. The Ramanujan
Journal, an international publication, was launched to publish work in all
areas of mathematics influenced by his work.
In December 2011, in recognition of his contribution to
mathematics, the Government of India declared that Ramanujan's
birth date (22 December) would be celebrated every year as National Mathematics Day and
declared 2012 the National
Mathematics Year.
No comments:
Post a Comment