Srinivasa ramanujans contributions in mathematics dharminder singh 1, arun kumar chopra 2, sukhdeep singh bal 3 1,2 asst. Trouble years it was in 1910, after a meeting between the 23yearold ramanujan and the founder of the indian mathematical society, ramaswamy aiyer, also known as professor ramaswami, that ramanujan started to get. Hardy thought at first it could be fraud because most of ramanujans works were impossible to believe. College, chandigarh srinivasa ramanujan made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. As an example of his creativity in mathematics, some of his work on the theory of. Srinivasa ramanujan was a largely selftaught pure mathematician. Following are the srinivas ramanujan contributions to mathematics. Ramanujans thriving legacy srinivasa ramanujan is one of the greatest mathematicians in history and one of the most romantic. Srinivasa ramanujan, one of indias greatest mathematical geniuses, was born in his grandmothers house in erode, a small village about 400 km southwest of madras, on 22 nd december 1887.
Ramanujan devoted all of his efforts to mathematics and continued to record his. But he is perhaps even better known for his adoption and mentoring of the selftaught indian mathematical genius, srinivasa ramanujan. His fathers name was kuppuswami and mothers name was komalatammal. He is considered to be one of the most talented mathematicians in recent history.
Srinivasa ramanujan was born on december 22, 1887 in erode, a city in the tamil nadu state of india. Hardy, compared his mathematical prowess to that of euler and jacobi, two of the greatest. His father worked in kumbakonam as a clerk in a cloth merchants shop. Ramanujan was produced by the independent indian production house camphor cinema. A lot of his work was stored in the form of written discourse centuries after he lived. Srinivasa ramanujan was one of indias greatest mathematical geniuses. Srinivasa ramanujan, born december 22, 1887, erode, indiadied april 26, 1920, kumbakonam, indian mathematician whose contributions to the theory of numbers include pioneering discoveries of the properties of the partition function. The work that ramanujan did in his brief professional life a century ago has spawned whole new areas of mathematical investigation, kept top mathematicians busy for their whole professional lives, and is finding applications in computer science, string theory, and the mathematical basis of black. Ramanujans coming to england, and subsequently to his great fame. It is a sensitive and intimate portrait of ramanujan, the human being, who lived for mathematics you do not need to have any sympathy at all with mathematics to read the man who 120107 4. Ramanujans contribution to continued fractions in letters from an unknown hindu clerk, g. In this article author has written the significant indian mathematicians brief history and their contributions. His discoveries also led to the infinite series for infinity formulation.
Srinivasa ramanujan was born on december 22, 1887 in the. Ramanujan was born in his grandmothers house in erode, a small village about 400 km southwest of madras. Srinivasa ramanujans contributions in mathematics iosr journal. Sep 10, 2019 srinivasa ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. Ramanujans thoughts from god frank aiello abstract. Srinivasa ramanujan made great contributions to the field of mathematics, including a collaboration with wellknown mathematician h. Ramanujans results, and of setting them in context. Indian mathematician srinivasa ramanujan, the tata institute. This site is like a library, use search box in the widget to get ebook that you want. House of ramanujan mathematics, a museum of ramanujan s life and work, is also on this campus. Born on december 22, 1887, to a poor hindu brahmin family in erode in the state of tamil nadu in south india, ramanujan was a selftaught genius. Hardy on january 16 and february 27, 19, are two of the most famous letters in the history of mathematics. Contributions of srinivasa ramanujan to number theory.
Hardy, at that time 19 cayley lecturer in mathematics and fellow of the royal society, received the. Srinivasa ramanujan was born december 22, 1887 in the city of erode, in his grandmothers house. More recently his discoveries have been applied to physics, where his theta function lies at the heart of string theory. In reality, apart from a few elementary ones, most of the contributions of s. Sep 28, 2012 since he has showed his supernatural talent by himself,again people around him tried to connect him with big english matematicians. Born in south india, ramanujan was a promising student, winning academic prizes in high school. The collaboration that took place in the years 19141919 between the indian mathematician srinivasa ramanujan and the english mathematician g. They believe indians borrowed the knowledge of mathematics from greeks. Ramajuna father occupation is a clerk in a cloths showroom. Outside of his life in mathematics, ramanujan was a very religious person. In a small village which is very nearer to 400 km of madras. Ramanujam was shown how to solve cubic equations in 1902 and he went on to find his own method to solve the quadratic.
Hence, not much reliable information had been gathered on that front. He told his wife, janaki ammal, his work would bring laurel. Relevance of srinivasa ramanujan the man who knew infinity. In 2011, on the 125th anniversary of his birth, the indian government declared that 22 december will be celebrated every year as national mathematics day. What are the mathematical contributions of ramanujan. Here was a man who could work out modular equations and theoremsto orders unheard o. Ramanujan wrote many letters to mathematician around the world including one to g. He did most of his mathematical exploration by his ownin particular he discovered much trigonometry by himself as a.
Indian mathematical genius srinivasa ramanujan 18871920 made remarkable contributions in several areas of mathematics, including number theory. On 1st october 1892 ramanujan was enrolled at local school. He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Ramanujans life and passion born on december 22, 1887 in pallipalayam, erode and grew up in kumbakonam, tamil nadu. Ramanujan was born in his grandmothers house in erode, a small village about 400 km southwest of madras now chennai. Sastra purchased and renovated the house where ramanujan lived at kumabakonam. Jul 27, 2014 contributions of greatcontributions of great mathematicianmathematician s. He was born on 22na of december 1887 in a small village of tanjore district, madras. Ramanujan reportedly studied the contents of the book in detail. Pythagoras was a classical greek mathematician and philosopher. Srinivasa iyengar was a clerk while his mother, komalatammal performed as a singer, in a temple. Ramanujan was someone whose mathematical insights were inspired by intuition. Hardy, in full godfrey harold hardy, born february 7, 1877, cranleigh, surrey, englanddied december 1, 1947, cambridge, cambridgeshire, leading english pure mathematician whose work was mainly in analysis and number theory hardy graduated from trinity college, cambridge, in 1899, became a fellow at trinity in 1900, and lectured there in mathematics from 1906 to 1919.
Even though they belonged to the brahmins who are known to be the highest caste of hinduism, ramanujans family was very poor. When he graduated from town higher secondary school in 1904, ramanujan was awarded the k. He was considered to be the founder of the movement called pythagoreanism. In this book, we examine chapters 1015 in ramanujans second note book. S ramanujan made brilliant contributions to the elliptic functions and analytical theory of the numbers, fractions etc and in the year 1900 s ramanujan commenced his work on arithmetic series and summing geometric.
Ramanujan is a 2014 biographical film based on the life of renowned indian mathematician srinivasa ramanujan. Srinivasa ramanujan 1887 mactutor history of mathematics. Srinivasa ramanujan simple english wikipedia, the free. Ramanujan himself hints at this in his second letter to hardy, when he says con. Even though they belonged to the brahmins who are known to be the highest caste of hinduism. H hardy summed up his contibution in following words, the limitations of his knowledge were as startling as its profundity. Contributions of mathematics genius srinivasa ramanujan in mathematics bhushan kumar assistant professor, deptt. Ramanujan studies and works with godfrey hardy 1916. Life and work of the mathemagician srinivasa ramanujan. Thetoptenmost fascinatingformulasin ramanujanslostnotebook george e. In 1917 he was hospitalized, his doctors fearing for his life. Early life and mathematics ramanujan was born in 1887 in southern india.
Srinivasa ramanujan mathematician biography, contributions. Srinivasa ramanujan iyengar december 22, 1887 april 26, 1920 was an indian mathematician. But he is perhaps even better known for his adoption and mentoring of the selftaught indian mathematical genius, srinivasa ramanujan hardy himself was a prodigy from a young age, and stories are told about how he. Contributions of greatcontributions of great mathematicianmathematician s. A note on mathematics genius srinivasa ramanujan, frs article pdf available in international journal of information technology and decision making january 2014 with 42,753 reads.
Even though ramanujans life was short, his contributions to mathematics were extensive. Srinivasa ramanujan was an indian mathematician during the colonial era. Jul 14, 2016 hardy arranged for ramanujan to come to england, and the rest is history. Hardy arranged for ramanujan to come to england, and the rest is history. Aug 08, 2016 our july insights column was inspired by the mathematics of the phenomenal 20thcentury number theorist srinivasa ramanujan, whose romantic and tragic life story was the subject of the recent film the man who knew infinity.
Hardy, compared his mathematical prowess to that of euler and jacobi, two of the greatest mathematicians of. But the most significant contributions are ramanujan prime, ramanujan theta function, ramanujansoldner constant, ramanujans sum etc. At age 15 srinivasa ramanujan obtained a mathematics book containing. Srinivasa ramanujan made substantial contributions to the analytical theory of numbers.
He revolutionalized the study of some areas of number theory by making great contributions. Srinivasa ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. Dec 23, 2016 srinivasa ramanujan was an indian mathematician during the colonial era. Thus was srinivasa ramanujan 18871920 introduced to the mathematical world. An introduction to ramanujans magic squares georgep. 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. Hardy in developing the formula for the number, pn, of partitions of a number n.
He also recalls that a junior mathematics teacher of the f. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. But eventually,they were convinced and interested in his talent. Hindered by poverty and illhealth, his highly original work has considerably enriched number theory. In 1903, when he was 16, ramanujan obtained from a friend a library copy of a synopsis of elementary results in pure and applied mathematics, g. Pythagoras mathematician biography, contributions and facts. Srinivas ramanujan iyengar is one of the famous and great indian mathematician, who is very geniuses and born in his grand mothers house on 22nd december 1887. Ramanujan is elected fellow of the royal society f. Pdf a note on mathematics genius srinivasa ramanujan, frs. At the age of 12, he was declared child mathematician by his teachers.
During his visit, ramanujan wrote 30 papers some on his own, some joint with hardy ramanujan had to overcome many difficulties like world war i, inability to eat english food. His priceless contribution to mathematics has been appraised all over the world. Click download or read online button to get ramanujan book now. Narashima is the fourth reincarnation of lord vishnu, the main god of the hindu. Even though ramanujan s life was short, his contributions to mathematics were extensive.
Srinivasa ramanujan born december 22, 1887 in erode, india was an indian mathematician who made substantial contributions to mathematicsincluding results in number theory, analysis, and infinite seriesdespite having little formal training in math. Our july insights column was inspired by the mathematics of the phenomenal 20thcentury number theorist srinivasa ramanujan, whose romantic and tragic life story was the subject of the recent film the man who knew infinity. Since he has showed his supernatural talent by himself,again people around him tried to connect him with big english matematicians. The film, written and directed by gnana rajasekaran, was shot back to back in the tamil and english languages. The importance of his research continues to be studied and inspires. In a village in madras state, at erode, in tanjore district. The purpose of this paper is to introduce some of the contributions of srinivasa ramanujan to number theory. Ramanujachari, allowed ramanujan to go to the board to show the solutions to the di. Ramanujan belong to a higher realm of mathematics that is often referred to as higher mathematics. A life of the genius ramanujan robert kanigel page 2 of 4.
Hardy perhaps the most famous collaboration in the history of mathematics is the subject of the 1991 book the man who knew infinity by robert kanigel. Hardy is known for his achievements in number theory and mathematical analysis. Pdf contributions of srinivasa ramanujan to number theory. Three puzzles inspired by ramanujan quanta magazine. Biography of srinivasa ramanujan, mathematical genius. Srinivasa ramanujan s contributions in mathematics dharminder singh 1, arun kumar chopra 2, sukhdeep singh bal 3 1,2 asst.