Srinivasa Ramanujan Aiyangar was an Indian mathematician born in 1887 in India. He showed great talent and self-taught himself advanced mathematics from a young age. In 1913, he sent letters containing his original mathematical research to professors in Cambridge University. This led to him receiving a scholarship to study at Trinity College, Cambridge where he collaborated with professor G.H. Hardy and made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. Despite dying young at the age of 32, Ramanujan made substantial contributions to mathematical research.

2. • Srinivasa Ramanujan Aiyangar was an Indian Mathematician who was born in
Erode, India in 1887 on December 22.
• He went to school at the nearby place, Kumbakonam.
• Ramanujan is very well known for his efforts on continued fractions and series
of hypergeometry.
• At the age of fourteen, he was able to acquire the theorems of cosine and sine
given by L. Euler.

3. • In 1904, he received a merit scholarship in a local college and became
more indulgent into mathematics.
• In 1900 he began to work on his own on mathematics summing geometric
and arithmetic series.
• Ramanujan was shown how to solve cubic equations in 1902 .
• In 1904, he received a merit scholarship in a local college and became
more indulgent into mathematics.

4. • In 1906 Ramanujan went to Madras where he entered Pachaiyappa's College. His
aim was to pass the First Arts examination which would allow him to be admitted to
the University of Madras.
• He passed in mathematics but failed all his other subjects and therefore failed the
examination. So he could not enter the University of Madras.
• Ramanujan studied continued fractions and divergent series in 1908.
• In 1909, he got married and continued his clerical work and, side by side, his
investigations of mathematics.

5. • He devoloped relations between elliptic modular equations in 1910.
• In 1911, he published some of his results.
• In January 1913 he sent his work to a Cambridge Professor named G. H.
Hardy.
• He was given a scholarship in May by the University of Madras.
• Ramanujan set sail for England at the age of 26 years in 1914.
• He departed from this world on April 26, 1920.

6. • Ramanujan was elected to a trinity college fellowship. He was the Ist
Indian to be elected a fellow of Trinity College,Cambridge.
• Ramanujan was awarded the B.A degree by research in March 1916 at the
age of 28 years for his work on Highly composite Numbers.
• In 1918, Hardy and Ramanujan studied the partition function P(n) and
gave a non-convergent asymptotic series.
• It permits exact computation of the number of partitions of an integer.
• Ramanujan and Hardy’s work in this area gave rise to a powerful new
method for finding asymptotic formulae,called the ‘circle method’.

7. • The number 1729 is known as the Hardy-Ramanujan number after a
famous anecdote of the British mathematician G.H. Hardy.
• It is a very interesting number; it is the smallest number expressible as the
sum of two cubes in two different ways.
• The two different ways are
1729= 1^3+12^3= 9^3+10^3
• Generalizations of this idea have created the notion of “taxicab numbers”.

8. • Ramanujan recorded the bulk of his results in four notebooks of loose leaf
paper. First 3 notebooks contained his work before leaving England.
• Those 3 notebooks were published as a two volume set in 1957 by Tata
Institute of Fundamental Research.
• The fourth notebook with 87 unorganized pages was called ‘Lost notebook’.
• The Lost notebook contains 600 theorems which Ramanujan called as ‘mock
theta functions’.

9. • Ramanujan’s home state of Tamil Nadu celebrates 22 December as ‘State IT
Day’.
• A stamp picturing Ramanujan was released by the Government of india in
1962(75th anniversary of Ramanujan’s birth) commemorating his achievements in
the field of number theory, and a new design was issued on December 26, 2011 by
the India Post.
• Ramanujan’s work and life are celebrated on 22 December at the Indian
Institute of Technology(IIT), Madras in Chennai.

10. • A prize for young mathematicians from developing countries has been created in
the Ramanujan by the International Centre for Theoretical Physics.
• In December 2011,in recognition of his contribution to mathematics, the
Government of India declared that Ramanujan’s birthday(22 December) should be
celebrated every year as National Mathematics Day and also declared 2012 the
National Mathematics Year.