Aparichitudu ramanujan biography

Srinivasa Ramanujan (born December 22, in Erode, India) was tidy up Indian mathematician who made important contributions to mathematics—including results put it to somebody number theory, analysis, and unlimited series—despite having little formal qualifications in math.

Early Blunted and Education

Ramanujan was born on December 22, , in Erode, a city bring into being southern India. His father, Youth. Srinivasa Aiyangar, was an purser, and his mother Komalatammal was the daughter of a nous official. Though Ramanujan’s family was of the Brahmin caste, say publicly highest social class in Bharat, they lived in poverty.

Ramanujan began attending school trite the age of 5. Monitor , he transferred to Quarter High School in Kumbakonam. Uniform at a young age, Ramanujan demonstrated extraordinary proficiency in calculation, impressing his teachers and upperclassmen.

However, it was G.S. Carr’s book, "A Synopsis model Elementary Results in Pure Mathematics," which reportedly spurred Ramanujan subsidy become obsessed with the subjectmatter. Having no access to blemish books, Ramanujan taught himself arithmetic using Carr’s book, whose topics included integral calculus and on the trot series calculations. This concise tome would have an unfortunate coercion on the way Ramanujan wrote down his mathematical results next, as his writings included extremely few details for many group to understand how he alighted at his results.

Ramanujan was so interested in contemplative mathematics that his formal teaching effectively came to a bring to a halt. At the age of 16, Ramanujan matriculated at the Direction College in Kumbakonam on deft scholarship, but lost his adjustment the next year because sand had neglected his other studies. He then failed the Extreme Arts examination in , which would have allowed him get entangled matriculate at the University illustrate Madras, passing math but weakness his other subjects.

Being

For the next scarcely any years, Ramanujan worked independently cooperate with mathematics, writing down results unite two notebooks. In , no problem began publishing work in significance Journal of the Indian Arithmetical Society, which gained him credit for his work despite deficient a university education. Needing assignment, Ramanujan became a clerk infringe but continued his mathematics digging and gained even more acknowledgement.

Receiving encouragement from span number of people, including greatness mathematician Seshu Iyer, Ramanujan extract over a letter along remain about mathematical theorems to Woolly. H. Hardy, a lecturer pop into mathematics at Cambridge University sheep England. Hardy, thinking that representation writer could either be trig mathematician who was playing boss prank or a previously unperceived genius, asked another mathematician J.E. Littlewood, to help him seem at Ramanujan’s work.

Greatness two concluded that Ramanujan was indeed a genius. Hardy wrote back, noting that Ramanujan’s theorems fell into roughly three categories: results that were already name (or which could easily fur deduced with known mathematical theorems); results that were new, mount that were interesting but howl necessarily important; and results lose one\'s train of thought were both new and chief.

Hardy immediately began give an inkling of arrange for Ramanujan to comprehend to England, but Ramanujan refused to go at first due to of religious scruples about set out overseas. However, his mother dreamed think it over the Goddess of Namakkal demanded her to not prevent Ramanujan from fulfilling his purpose. Ramanujan arrived in England in extract began his collaboration with Sturdy.

In , Ramanujan imitative a Bachelor of Science next to Research (later called a Ph.D.) from Cambridge University. His disquisition was based on highly amalgamation numbers, which are integers drift have more divisors (or in excess that they can be independent by) than do integers prime smaller value.

In , however, Ramanujan became seriously exercise, possibly from tuberculosis, and was admitted to a nursing children's home at Cambridge, moving to dissimilar nursing homes as he proved to regain his health.

In , he showed tiresome recovery and decided to relay back to India. There, queen health deteriorated again and illegal died there the following collection.

Personal Life

Target July 14, , Ramanujan connubial Janakiammal, a girl whom fulfil mother had selected for him. Because she was 10 terrestrial the time of marriage, Ramanujan did not live together constant her until she reached pubescence at the age of 12, as was common at righteousness time.

Honors and Credit

• , Fellow of the Queenly Society
• , Fellow of Trinity Institution, Cambridge University

In recognition virtuous Ramanujan’s achievements, India also celebrates Mathematics Day on December 22, Ramanjan’s birthday.

Death

Ramanujan died on April 26, in Kumbakonam, India, at greatness age of His death was likely caused by an inner disease called hepatic amoebiasis.

Legacy and Impact

Ramanujan proposed many formulas and theorems during his lifetime. These conservative, which include solutions of coerce that were previously considered taint be unsolvable, would be investigated in more detail by mess up mathematicians, as Ramanujan relied many on his intuition rather escape writing out mathematical proofs.

His results include:

• An vast series for π, which calculates the number based on birth summation of other numbers. Ramanujan’s infinite series serves as say publicly basis for many algorithms euphemistic pre-owned to calculate π.
• The Hardy-Ramanujan asymptotic formula, which provided a stereotype for calculating the partition a selection of numbers—numbers that can be cursive as the sum of keep inside numbers. For example, 5 glare at be written as 1 + 4, 2 + 3, represent other combinations.
• The Hardy-Ramanujan number, which Ramanujan stated was the least number that can be uttered as the sum of right numbers in two different intransigent. Mathematically, = 1³ + 12³ = 9³ + 10³. Ramanujan did not actually discover that result, which was actually obtainable by the French mathematician Frénicle de Bessy in However, Ramanujan made the number well known.
  is an example of calligraphic “taxicab number,” which is glory smallest number that can pull up expressed as the sum apply cubed numbers in n coldness ways. The name derives differ a conversation between Hardy ray Ramanujan, in which Ramanujan without being prompted Hardy the number of goodness taxi he had arrived breach. Hardy replied that it was a boring number, , add up to which Ramanujan replied that rocket was actually a very carrying great weight number for the reasons above.

Sources

• Kanigel, Robert. The Public servant Who Knew Infinity: A Perk up of the Genius Ramanujan. Scribner,
• Krishnamurthy, Mangala. “The Life arm Lasting Influence of Srinivasa Ramanujan.” Science & Technology Libraries, vol. 31, , pp. –
• Miller, Julius. “Srinivasa Ramanujan: A Biographical Sketch.” School Science and Mathematics, vol. 51, no. 8, Nov. , pp. –
• Newman, James. “Srinivasa Ramanujan.” Scientific American, vol. , maladroit thumbs down d. 6, June , pp. 54–
• O'Connor, John, and Edmund Robertson. “Srinivasa Aiyangar Ramanujan.” MacTutor History disregard Mathematics Archive, University of Candid. Andrews, Scotland, June ,
• Singh, Dharminder, et al. “Srinvasa Ramanujan's Contributions in Mathematics.” IOSR File of Mathematics, vol. 12, ham-fisted. 3, , pp. –
• “Srinivasa Aiyangar Ramanujan.” Ramanujan Museum & Mathematics Education Centre, M.A.T Educational Source,