A short biography of famous mathematician srinivasa. India is a country blessed with great mathematicians and scientists. Indian mathematician srinivasa ramanujan is an indian math genius. Here was a man who could work out modular equations and theoremsto orders unheard o. Since he has showed his supernatural talent by himself,again people around him tried to connect him with big english matematicians. Ramanujan eventually came to england and studied with hardy, who graciously observed that while ramanujan was unschooled in many things every modern mathematics student in the west would know, e. 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.
Mathematicians centuryold secrets unlocked live science. Ramanujans contribution remembered on national day of. Srinivasa ramanujan was an indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. Srinivasa ramanujan was a famous indian mathematician. Ramanujan, one of the elegant mathematician of india was born in erode on 22nd. Recently, ramanujans formulae have found applications in the field of crystallography and in string theory.
Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to. He was born on december 22, 1887 at kumbakonam in the city of chennai, erstwhile madras. Relevance of srinivasa ramanujan at the dawn of the new millennium. The family name ramanujan means person who contains a particle of the god rama. Page from ramanujans notebook stating his master theorem. What made his achievements really extraordinary was the fact that he received almost no formal training in pure mathematics and started working on his own mathematical research in isolation.
Every time some matter was mentioned, littlewood remarked once, ramanujans response was an avalanche of original. Srinivasa ramanujan was a mathematician so great that his name transcends. Srinivasa ramanujan frs fellow of royal society22 december 1887 26 april 1920 was an indian mathematician, with almost no formal training in pure mathematics, made extraordinary. Ramanujan he was born on 22na of december 1887 in a small village of tanjore district, madras. Attempted coaching by littlewood littlewood found ramanujan a sometimes exasperating student. It was said that the three best english mathematicians were hardy, littlewood and hardylittlewood since you. In a small village which is very nearer to 400 km of madras. Hardy arranged for ramanujan to come to england, and the rest is history. Contributions of greatcontributions of great mathematicianmathematician s. He has also made some extraordinary contributions to the fields like hypergeometric series, elliptic functions, prime numbers, bernoullis numbers, divergent series, continued fractions, elliptic modular equations, highly composite numbers, riemann zeta functions, partition of. He sent a set of 120 theorems to professor hardy of cambridge.
Goldbachs conjecture is one of the important illustrations of ramanujan contribution towards the proof of the conjecture. Hardy, compared his mathematical prowess to that of euler and jacobi, two of the greatest mathematicians of all time. You should attend if you are a student or faculty from academic institution interested to learn the influence of ramanujan in number theory. What is the contribution of srinivasa ramanujan in.
These are the contribution of srinivasa ramanujan, he is one of the great mathematicians of india. He has been responsible for solving many seemingly impossible equations. Srinivasa ramanujan frs 22 december 1887 26 april 1920 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. Ramanujans family sometimes took in student boarders and it was through these that ramanujan was first introduced to formal mathematics. The mathematics genealogy project is in need of funds to help pay for student help and other associated costs. 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 hole physics. What is the contribution of srinivas ramanujan to mathematics. Name will be encountered in the history of mathematics as long as humanity will study. Ramanujachari, allowed ramanujan to go to the board to show the solutions to the di. The personal name srinivasa roughly means prosperous, more literally one who abides in wealth. A celebration of mathematics 2015 ramanujan prize award ceremony ictp 3 september 2015 ramanujan prize sculpture the ramanujan prize sculpture is an exact miniature replica of the statue of srinivasa ramanujan that is kept in the ictp.
The next article is on the use of po w er series tec hniques b y mediev al kerala sc ho ol of mathematics. What are the mathematical contributions of ramanujan. Srinivasa ramanujans contributions in mathematics dharminder singh1. 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. His father worked in kumbakonam as a clerk in a cloth merchants shop. Pdf a note on mathematics genius srinivasa ramanujan, frs. Srinivasa ramanujans contributions in mathematics iosr journal. Srinivasa ramanujan made substantial contributions to the analytical theory of numbers. If you would like to contribute, please donate online using credit card or bank transfer or mail your taxdeductible contribution to. Three puzzles inspired by ramanujan quanta magazine. Ramanujan devoted all of his efforts to mathematics and continued to record his. In the rich heritage that india has, one such great mathematician is srinivasa ramanujan. He had very little formal training in mathematics, largely teaching himself after taking an interest at the age of 10.
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. Deep meaning in ramanujans simple pattern new scientist. Supports undergraduate mathematics majors or other students taking primarily upper division mathematics courses, who show significant. In mathematics, ramanujans master theorem named after srinivasa ramanujan is a technique that provides an analytic expression for the mellin transform of an analytic function. Ho 28 mar 2000 life and work of the mathemagician srinivasa ramanujan k. Ramanujan in cambridge work with hardy i have never met his equal, and can compare him only with euler or jacobi. 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. College, chandigarh srinivasa ramanujan made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Ramanujan and his associates had shown that every large integer could be written as the sum of at most four example.
His formula computes a further eight decimal places of. Ramanujan works are many, works of ramanujan in mathematics are listed out on this page for all our viewers. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33, like riemann before him. He did not do well in college, however, because the only class that he passed was mathematics. Littlewood, two worldclass mathematicians at cambridge, and enjoyed an extremely fruitful period of collaboration with them. H hardy summed up his contibution in following words, the limitations of his knowledge were as startling as its profundity. Ramanujan was quite lucky to have a number of people working round him with a training in mathematics. In 1917 he was hospitalized, his doctors fearing for his life. 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. Srinivasa ramanujan was an indian mathematician during the colonial era.
Introduction srinivasa ramanujan, hailed as one of the greatest mathematicians of this cen. In a lifespan of 32 years, ramanujan contributed more to mathematics than many other accomplished mathematicians. The collaboration that took place in the years 19141919 between the indian mathematician srinivasa ramanujan and the english mathematician g. Srinivasa ramanujan the mathematics genealogy project. Indian mathematician srinivasa ramanujan, the tata institute. In 1915, the london mathematical society published in its proceedings a paper of ramanujan entitled. When ramanujan was a year old his mother took him to the town of kumbakonam, about 160 km nearer madras. Ramanujan, a selftaught mathematician born in a rural village in south india, spent so much time thinking about math that he flunked out of college in india twice, ono said.
Ramanujans approximate formula, developed in 1918, helped him spot that numbers ending in 4 or 9 have a partition number divisible by 5, and he found similar rules for partition numbers. Srinivasa ramanujan was the strangest man in all of mathematics, probably in the entire history of science. Hardy came to see ramanujan in taxi number 1729,ramanujan said that 1729 is the smallest number which can be written in the form of sum of cubes of two numbers in two ways,i. As an example of his creativity in mathematics, some of his work on the theory of. First hand testimony and insightful thoughts on ramanujans background and way of doing mathematics can be found in hardys lecture indian mathematician ramanujan.
He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33. Srinivasa ramanujan free download as powerpoint presentation. Srinivasa ramanujan, a mathematician brilliant beyond. Ramanujan was born in his grandmothers house in erode, a small village about 400 km southwest of madras. Ramajuna father occupation is a clerk in a cloths showroom. Srinivasa ramanujan s contributions in mathematics dharminder singh 1, arun kumar chopra 2, sukhdeep singh bal 3 1,2 asst. Contributions of mathematics genius srinivasa ramanujan in mathematics bhushan kumar assistant professor, deptt. He made extraordinary contributions to mathematical analysis, number theory. Scribd is the worlds largest social reading and publishing site. This file gives a brief idea about the life of great mathermatician srinivasa ramanujan. Highly composite numbers by srinivasa ramanujan universite.
National mathematics day is celebrated on srinivasa ramanujans birth anniversary, who, despite not have a proper training and education in mathematics, became one of the greatest mathematicians. The purpose of this paper is to introduce some of the contributions of srinivasa ramanujan to number theory. In this book, we examine chapters 1015 in ramanujans second note book. Srinivasa ramanujan 18871887192019201920 srinivasa ramanujan was one of the indias greatest mathematical geniuses. Hardy is the british mathematician who first appreciated the full extent of ramanujans talent, knew him well personally, and had a fruitful mathematical collaboration with him. Srinivasa ramanujan 18871920 was an indian mathematician who made great and original contributions to many mathematical fields, including complex analysis, number theory, infinite series, and continued fractions. But eventually,they were convinced and interested in his talent. Hardy, who worked with him for a number of years, described him as a natural mathematical genius. Duration july 25 august 6, 2016 number of participants for the course will be limited to fifty. His priceless contribution to mathematics has been appraised all over the world.
His contribution to the field, like the ramanujan prime, and ramanujan theta function has helped the field. The ramanujan journal, an international publication, was launched to publish work in all the areas of mathematics that were influenced by his work. Mathematics genealogy project department of mathematics north dakota state university p. In 1914, srinivasa ramanujan found a formula for computing pi that converges rapidly. Ramanujans mock theta functions and some recent developments. Hardy, highly composite numbers, partition function, ramanujan. He failed in english in intermediate, so his formal studies were stopped but his selfstudy of mathematics continued. Pdf contributions of srinivasa ramanujan to number theory. Srinivasa rao the institute of mathematical sciences, chennai 600 1. Life and work of the mathemagician srinivasa ramanujan. Srinivasa ramanujan was born in madras, tamil nadu, in 1887 and lived until 1920. Hardy thought at first it could be fraud because most of ramanujans works were impossible to believe. In fact the chief accountant for the madras port trust, s n aiyar, was trained as a mathematician and published a paper on the distribution of primes in 19 on ramanujans work.
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