Ramanujan life history and achievements. Srinivasa Ramanujan 2022-11-16

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Srinivasa Ramanujan was a self-taught Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. He was born on December 22, 1887, in Erode, a small village in Tamil Nadu, India. Despite having little access to formal education, Ramanujan displayed an early aptitude for mathematics and excelled in his studies.

Ramanujan's contributions to mathematics were largely made during his brief lifetime of just 32 years. He developed his own mathematical research independently, and his work was characterized by its originality and depth. Ramanujan's most significant contributions were in the areas of infinite series, modular forms, and number theory.

One of Ramanujan's most famous contributions was his work on the theory of partitions, which is a mathematical way of counting the number of ways that a number can be expressed as the sum of other integers. His work in this area led to the development of the Hardy-Ramanujan formula, which gives a rough estimate of the number of ways a number can be expressed as the sum of smaller integers.

Ramanujan also made significant contributions to the theory of continued fractions, which are infinite series of fractions that can be used to represent irrational numbers. His work in this area led to the development of the Ramanujan Conjecture, which states that every positive integer is the sum of at most five triangular numbers (numbers of the form n(n+1)/2).

Despite his many contributions to mathematics, Ramanujan received little recognition during his lifetime. He was largely unknown outside of India, and his work was not widely appreciated until after his death. In recognition of his contributions to mathematics, Ramanujan was posthumously awarded the prestigious Royal Society's Royal Medal in 1918.

Today, Ramanujan is widely regarded as one of the greatest mathematicians in history and is remembered for his exceptional talent and innovative thinking. His work has had a significant impact on the field of mathematics and continues to inspire and influence researchers around the world.

Srinivasa Ramanujan

Ramanujan fought against the odds because of his poverty, location, and lack of formal education. Teacher India 11A 1975 , 119- 122, and 12 1976 , 138- 139. For example, 5 can be written as 1 + 4, 2 + 3, or other combinations. He gained recognition and fame. Also, he completed an exam in mathematics in half of the allotted time and showed familiarity with geometry and infinite series. Under the guidance of Hardy and Littlewood, Ramanujan produced remarkable results.

Srinivasa Ramanujan: Major Works He worked in several areas including the Riemann series, the elliptic integrals, hypergeometric series, the functional equations of the zeta function, and his own theory of divergent series, in which he discovered a value for the sum of such series using a technique he invented and came to be known as Ramanujan summation. He received a Subramaniam scholarship for good grades in math and English after passing the high school examination, and he was also recognized for further college education. He also worked out the elliptic integrals, hypergeometric series, and functional equations of the zeta function with ease. Ramanujan wrote to E W 1913 Ramanujan wrote to 1910 book Orders of infinity. Ramanujan fell seriously ill in 1917 and his doctors feared that he would die.

Remembering S Ramanujanâ€™s life achievements and significant contributions to mathematics

It is said that he independently developed and investigated the Bernoulli numbers and calculated the Euler-Mascheroni constant up to 15 decimal places. Legacy and Impact Ramanujan proposed many formulas and theorems during his lifetime. This book acts as a key element in awakening his genius. This congruence and others like it that Ramanujan proved inspired Î” z is the first example of a modular form to be studied in this way. However, they will struggle with other topics. Then after a few days of hard struggle and challenges, he met the Deputy Collector Shri V.

Biography of the great Indian Mathematician Srinivasa Ramanujan

He was very interested in geometry and infinite series. In 1909, Srinivasa Ramanujan married a girl his mother had selected for him, but they did not live together for the first three years of their marriage until the girl was 12 years old. Though brilliant, great mathematician G. By the age of 17, he was conducting his own research in fields such as Bernoulli numbers and the Euler-Mascheroni constant. What he actually did is wonderful enoughâ€¦ when the researches which his work has suggested have been completed, it will probably seem a good deal more wonderful than it does to-day.

Srinivasa Aiyangar, was an accountant, and his mother Komalatammal was the daughter of a city official. In the following years he worked on mathematics developing his own ideas without any help and without any real idea of the then current research topics other than that provided by Carr's book. After marriage, forgetting everything and drowning in mathematics was impossible for him. After his successful surgery, he searched for a job. He came up with the Ramanujan theta function, which generalizes the form of Jacobi theta functions while also capturing their general properties. Deligne in his Fields Medal-winning work proved Serre's conjecture. In 1910, after a meeting between the 23-year-old Ramanujan and the founder of the Adulthood in India On 14 July 1909, Ramanujan married Janaki Janakiammal; 21 March 1899 â€” 13 April 1994 , After the marriage, Ramanujan developed a After his successful surgery, Ramanujan searched for a job.

It wasn't until Ramanujan started corresponding with Godfrey H. These were the first ever examples of mock modular forms. Continuing his mathematical work Ramanujan studied continued fractions and divergent series in 1908. He died the following year. He tutored some college students while desperately searching for a clerical position in Madras.

Awards Fellow of the Royal Society Srinivasa Ramanujan: Childhood, and Early Life He was born on 22 December 1887 into a Tamil Brahmin Iyengar family in Erode, Madras Presidency now Tamil Nadu, India at his maternal grandparent's residence. It was published in 1991 and later was turned into a movie starring Dev Patel as Srinivasa Ramanujan and Jeremy Irons as G. He became a research scholar at the University of Madras earning almost double what his job as a clerk was paying him. On 18 February 1918 Ramanujan was elected a fellow of the Cambridge Philosophical Society and then three days later, the greatest honour that he would receive, his name appeared on the list for election as a fellow of the 2 May 1918, then on 10 October 1918 he was elected a Fellow of Trinity College Cambridge, the fellowship to run for six years. Srinivasa Ramanujan 2 The fastest algorithms for calculation of pi are based on his series Finding an accurate approximation of Ď€ pi has been one of the most important challenges in the history of mathematics.

The limitations of his knowledge were as startling as its profundity. He studied the contents of the book in detail and went beyond and developed his own theorems and ideas. Today is the 134th birth anniversary of Srinivasa Ramanujan. Ramanujan's teacher would solve the problem in 12 stages, but he would do it in three. Proceedings of the London Mathematical Society. He was constantly encouraged to follow the road of duty by his religion and respect. House of Ramanujan Mathematics, a museum of Ramanujan's life and work, is also on this campus.

Biography of Srinivasa Ramanujan, Mathematical Genius

Journal of the Indian Mathematical Society. Ramaswamy Aiyer who was the founder of Indian Mathematical Society. Ramanujan went to England in 1914 despite his religious objections, where Hardy tutored him and collaborated with him. The second has 256 pages in 21 chapters and 100 unorganised pages, and the third 33 unorganised pages. He got perhaps the most youthful individual of the Royal Society and just the second Indian part, and the primary Indian to be chosen a Fellow of Trinity College, Cambridge.

In 1918, he was a Fellow of the Royal Society of London. Ramanujan theta function 10 His mock modular forms may unlock the secret of black holes In a 1920 letter to Hardy, Ramanujan described several new functions that behaved differently from known theta functions, or modular forms, and yet closely mimicked them. . As a result, his parents wondered if he was mentally ill. Shrinivas Ramanujan's contribution to mathematics He first arrived in Madras in search of work. When he was 16 years old, he got a book entitled A Synopsis of Elementary Results in Pure and Applied Mathematics, which turned his life around.