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Ramanujan

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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.

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Ramanujan
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.
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.
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.
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.
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 Hardys work in this area gave rise to a powerful new method for finding asymptotic formulae,called the circle method.
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.
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.
Ramanujans 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 Ramanujans birth) commemorating his achievements in the field of number theory, and a new design was issued on December 26, 2011 by the India Post. Ramanujans work and life are celebrated on 22 December at the Indian Institute of Technology(IIT), Madras in Chennai.
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 Ramanujans birthday(22 December) should be celebrated every year as National Mathematics Day and also declared 2012 the National Mathematics Year.
Ramanujan

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Ramanujan

  • 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 Hardys 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. Ramanujans 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 Ramanujans birth) commemorating his achievements in the field of number theory, and a new design was issued on December 26, 2011 by the India Post. Ramanujans 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 Ramanujans birthday(22 December) should be celebrated every year as National Mathematics Day and also declared 2012 the National Mathematics Year.