It is one of the most romantic stories in the history of mathematics: in 1913, the English mathematician G. H. Hardy received a strange letter from an unknown clerk in Madras, India. The ten-page letter contained about 120 statements of theorems on infinite series, improper integrals, continued fractions, and number theory (Here is a .dvi file with a sample of these results). Every prominent mathematician gets letters from cranks, and at first glance Hardy no doubt put this letter in that class. But something about the formulas made him take a second look, and show it to his collaborator J. E. Littlewood. After a few hours, they concluded that the results "must be true because, if they were not true, no one would have had the imagination to invent them".

Thus was Srinivasa Ramanujan (1887-1920) introduced to the mathematical world. Born in South India, Ramanujan was a promising student, winning academic prizes in high school. But at age 16 his life took a decisive turn after he obtained a book titled A Synopsis of Elementary Results in Pure and Applied Mathematics. The book was simply a compilation of thousands of mathematical results, most set down with little or no indication of proof. It was in no sense a mathematical classic; rather, it was written as an aid to coaching English mathematics students facing the notoriously difficult Tripos examination, which involved a great deal of wholesale memorization. But in Ramanujan it inspired a burst of feverish mathematical activity, as he worked through the book's results and beyond. Unfortunately, his total immersion in mathematics was disastrous for Ramanujan's academic career: ignoring all his other subjects, he repeatedly failed his college exams.

As a college dropout from a poor family, Ramanujan's position was precarious. He lived off the charity of friends, filling notebooks with mathematical discoveries and seeking patrons to support his work. Finally he met with modest success when the Indian...

...SrinivasaRamanujan Biography
Born: December 22, 1887 Died: April 26, 1920 Achievements: Ramanujan independently discovered results of Gauss, Kummer and others on hypergeometric series. Ramanujan's own work on partial sums and products of hypergeometric series have led to major development in the topic. His most famous work was on the number p(n) of partitions of an integer n into summands. SrinivasaRamanujan was a mathematician par excellence. He is widely believed to be the greatest mathematician of the 20th Century. SrinivasaRamanujan made significant contribution to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Srinivasa Aiyangar Ramanujan was born on December 22, 1887 in Erode, Tamil Nadu. His father worked in Kumbakonam as a clerk in a cloth merchant's shop. At the of five Ramanujan went to primary school in Kumbakonam. In 1898 at age 10, he entered the Town High School in Kumbakonam. At the age of eleven he was lent books on advanced trigonometry written by S. L. Loney by two lodgers at his home who studied at the Government college. He mastered them by the age of thirteen. Ramanujan was a bright student, winning academic prizes in high school. At age of 16 his life took a decisive turn after he obtained a book titled" A Synopsis of Elementary...

...SrinivasaRamanujan
Biography and Contribution of SRINIVASARAMANUJAN
Born Died
22 December 1887, Erode, Madras Presidency 26 April 1920 (aged 32), Chetput, Madras, Madras Presidency
Residence Kumbakonam Nationality Indian Fields Alma mater Mathematics Government Arts College Pachaiyappa's College University of Cambridge
Academic G. H. Hardy advisors J. E. Littlewood Landau–Ramanujan constant Mock theta functions Ramanujan conjecture Ramanujan prime Known for Ramanujan–Soldner constant Ramanujan theta function Ramanujan's sum Rogers–Ramanujan identities Ramanujan's master theorem Influences G. H. Hardy Signature
Compiled from: en.wikipedia.org/wiki/Srinivasa_Ramanujan 1
SrinivasaRamanujanSrinivasaRamanujan 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. Ramanujan was said to be a natural genius by the English mathematician G.H. Hardy, in the same league as mathematicians like Euler and Gauss. Born in a poor Brahmin family, Ramanujan's introduction to formal mathematics began at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry written by...

...SrinivasaRamanujanRamanujan was born in India to a poor family in Erode, a city in Madras state. His father was a clerk and his mother a deeply religious housewife. None of these facts reflect who Ramanujan really was. He was a brilliant, self-taught mathematician whose ideas caught the attention of some of the prolific mathematicians of his time to include G.H. Hardy. In this short biography we will cover both his life and his contributions to mathematics.
As stated earlier, he was born in south India to a poor family but they were still respectable in the community. This gave Ramanujan the opportunity to attend school and begin learning elementary Mathematics. He was quickly realized as a truly brilliant student with most of his talent directed towards mathematics. Interestingly, his family would sometimes take in student boarders and one of them gave him a trigonometry text when he was twelve and he mastered it within a year. In 1903 he was awarded a scholarship to attend the Government College at Kumbakonam. He spent all of his time studying mathematics and ended up failing his other subjects and lost his scholarship and dropped out. He married Janaki in 1909 and acquired a job as a clerk. While the position did not pay much it allowed him much time to concentrate on his research.
Ramanujan went to Cambridge in 1914, despite the great strides he made in his work in...

...SrinivasaRamanujan was one of India's greatest mathematical geniuses. He made contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
Ramanujan was born in his grandmother's house in Erode on December 22, 1887. When Ramanujan was a year old his mother took him to the town of Kumbakonam, near Madras. His father worked in Kumbakonam as a clerk in a cloth merchant's shop.
When he was five years old, Ramanujan went to the primary school in Kumbakonam although he would attend several different primary schools before entering the Town High School in Kumbakonam in January 1898. At the Town High School, Ramanujan did well in all his school subjects and showed himself as a talented student. 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 and he went on to find his own method to solve the quartic.
It was in the Town High School that Ramanujan came across a mathematics book by G. S. Carr called Synopsis of Elementary Results in Pure Mathematics. Ramanujan used this to teach himself mathematics. The book contained theorems, formulas and short proofs. It also contained an index to papers on pure mathematics.
By 1904 Ramanujan had begun to undertake deep research....

...SrinivasaRamanujan
* SrinivasaRamanujan was born 22 of December 1887 and died 26 of April 1920.he was a well know man for what he accomplish, in life as a mathematician and many more things like, analysis, number theory, infinite series, and continued fractions. he’s nationality was from Indian , he’s residence was Kumbakonam, Tamil have the access to the larger mathematical community ,it was located in Europe at the time, there for he had to work on he’s own. Ramanujan began he’s mathematical research in isolation. In results he began to sometimes rediscovered known theorems in addition to producing new work. Ramanujan was a natural genius by the English mathematician G.H. Hardy he unforchantly died.
* Ramanujan was born in erode in a very poor family from Hindu Brahmin, he’s mathematics began at the age of 10. He’s natural ability stared to show so there for they was giving him books on advanced trigonometry written by S.L., he achieve by the age of 12 he also discovered theorems of his own as well he re-discovered Euler’s identity independently. He was also showing unusual mathematical skills at school. Ramanujan was winning accolades and awards in school at the age of 17 he had conducted his own mathematical research on Bernoulli and the Euler-Mascheroni constants.
* In ramanujan short life he received a scholarship to...

...sreenivasa ramanujan
The life of SrinivasaRamanujan is a story of pure inspiration. From a humble family background, his was a life of struggle, sacrifice, determination and raw talent. His rise from the status of a clerk to a mathematical genius is an example of the heights man is capable of reaching despite all odds.
At a very early age, Ramanujan demonstrated a natural ability for the subject, and by 13 the young genius had mastered advanced trigonometry, in the process discovering some theorems of his own. By 17, he conducted his own mathematical research on Bernoulli numbers and the Euler-Mascheroni constant.
In 1913, Ramanujan wrote to Prof. G. H. Hardy, seeking the eminent English mathematician’s opinion on several ideas he had about numbers. Realizing the letter was the work of a genius, from someone who had no formal education in pure mathematics, Hardy arranged for him to come to England to work with him at Cambridge.
Right from the start Ramanujan's collaboration with Hardy led to important results. He made substantial contributions to mathematical analysis, number theory, infinite series and continued fractions. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function. His formulae have found applications in crystallography and string theory to name a few. As a result of his...

...SrinivasaRamanujan Iyengar
Loftus – 3A
SrinivasaRamanujan Iyengar was one of the greatest mathematicians in history. He was born in Erode, Tamil Nadu state, India and went to college, but dropped out because he was not focused on anything academic besides mathematics. On the bright side, a clerk in Madras, India sent a letter to an English mathematician named G. H. Hardy in England showing 120 statements of theorems on infinite series, improper integrals, continued fractions, and number theory that Srinivasa had come up with. Hardy said that they "must be true because, if they were not true, no one would’ve had the imagination to invent them". Hardy knew then that Srinivasa would be more beneficial to the mathematical world if he went to England with him.
One of his major contributions to mathematics was the formula for the number p(n) of partitions of a number n. Srinivas’s formula means that a partition of a positive integer n is just an expression for n as a sum of positive integers, no matter what their order is. This means that p(4) = 5 because 4 can be written as 1+1+1+1, 1+1+2, 2+2, 1+3, or 4.We use this formula very much today not realizing it. He and Hardy worked on this formula together.
Another major contribution to the mathematics world is that he created an odd looking formula that is used to faster calculate the formula of pie. This formula using pie was only...

...colleagues.
I feel the privilege to speak few words on the legend of Mathematics, Mr. srinivasaramanujan, as today it being a Mathematics day dedicated to him only.
SrinivasaRamanujan, an incredible mathematician was born in Erode, Tamil Nadu on 22nd December 1887. He had no formal training in mathematics yet “he was a natural mathematical genius. By age 11, he had exhausted the mathematical knowledge of two college students who were lodgers at his home. He was later lent a book on advanced trigonometry written by S. L. Loney. He completely mastered this book by the age of 13 and discovered sophisticated theorems on his own.
He worked out the elliptical integrals, hyper geometric series and his own theory of divergent series.
His Achievements
1. In England Ramanujam made further advances, especially in the partition of numbers. His papers were published in English and European journals, and in 1918 he became the first Indian to be elected to the Royal Society of London. He is recognized by mathematicians as a phenomenal genius without peers.
Great people always give their anecdote about the great. So was done for Ramanujam. Following is an anecdote of Hardy:
2 Hardy–Ramanujan number 1729
A common anecdote about Ramanujan relates to the number 1729. Hardy arrived at Ramanujan's residence in a cab numbered 1729. Hardy commented that the number 1729 seemed to be...