Ramanujan devoted all of his efforts to mathematics and continued to record his. The collaboration that took place in the years 19141919 between the indian mathematician srinivasa ramanujan and the english mathematician g. His mathematician approaches have been proved to be highly intellectual and innovative. More recently his discoveries have been applied to physics, where his theta function lies at the heart of string theory. Pdf a note on mathematics genius srinivasa ramanujan, frs. Srinivasa ramanujan mentioned the sums in a 1918 paper. Carr, in three notebooks, between the years 1903 1914, before he left for england. The man who knew infinity ramanujan college of management. Ramanujan hailed as an alltime great mathematician, like euler, gauss or jacobi, for his natural genius, has left behind 4000 original theorems, despite his lack of formal education and a short lifespan. On the occasion of the 125th birth anniversary of the famous indian mathematician srinivasa ramanujan, the tata institute. Ramanujan had noted down the results of his researches, without proofs, as in a synopsis of elementary results, a book on pure mathematics, by g. India is a country blessed with great mathematicians and scientists. Ramanujan, s the lost notebook and other unpublished papers.
Journal of number theory 25, 119 1987 a formula of s. Srinivasa ramanujan died april 26, 1920 of tuberculosis. Roughly speaking, for these things,ramanujans name is seen everywhere around the world, even if some might disagree. In this book, we examine chapters 1015 in ramanujans second note book. 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.
Srinivasa ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. In number theory, a branch of mathematics, ramanujans sum, usually denoted c q n, is a function of two positive integer variables q and n defined by the formula. Ramanujan generated formulas which he felt to be true on the basis of intuition and the checking of some special cases. Srinivasa ramanujan was a great mathematician, who became world famous at the age of twenty six. Biography of srinivasa ramanujan srinivasa ramanujan. Hardy, compared his mathematical prowess to that of euler and jacobi, two of the greatest mathematicians of all time. Ramanujans formula for the riemann zeta function extended to lfunctions by kakherine j. Srinivasa ramanujan, sometimes described as the worlds greatest mathematician was born into a poor indian village, erode, on the 22nd of december, 1887.
An alternative formulation of ramanujans master theorem is as follows. Srinivasa ramanujan was an indian mathematician who made significant contributions to mathematical. He was so interested in mathematics that he learned on his own. Probably ramanujans life has no parallel in the history of human thought. December 22 marks the 125th anniversary of the birth of srinivasa ramanujan, an indian mathematician renowned for somehow intuiting extraordinary numerical patterns and connections. Srinivasa ramanujan made great contributions to the field of mathematics, including a collaboration with wellknown mathematician h. To submit students of this mathematician, please use the new data form, noting this mathematicians mgp id of 91561 for the advisor id. Srinivasa ramanujan was a largely selftaught pure mathematician. Srinivasa ramanujan was one of the indias greatest mathematical geniuses. College, chandigarh srinivasa ramanujan made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Ramanujan from 2012 to till date so that students and teachers of india know about the legacy of such great mathematician of india. Nobel laureate this is the best biography of a mathematician, in fact of any scientist, that i have ever read. 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.
A short biography of famous mathematician srinivasa ramanujan part 1. Srinivasa rao the institute of mathematical sciences, chennai 600 1. Srinivasa ramanujan was a great mathematician, who became world famous at the age of twentysix. Introduction srinivasa ramanujan, hailed as one of the greatest mathematicians of this century, left behind an incredibly vast and formidable amount of original work, which.
Srinivasa ramanujan simple english wikipedia, the free. Srinivasa ramanujan, a mathematician brilliant beyond. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Ramanujan looked for such formulas as he saw in carrs volume. Ramanujan was shown how to solve cubic equations in 1902.
His priceless contribution to mathematics has been appraised all. Life and work of the mathemagician srinivasa ramanujan k. Srinivasa ramanujan was born on december 22, 1887 in the. Commenting on the formulae in the letters sent by ramanujan from india, prior to going to england. On 1st october 1892 ramanujan was enrolled at local school. He was born on december 22, 1887 at kumbakonam in the city of chennai, erstwhile madras. Mathematical findings given by goddess 3 fig 1 srinivasa ramanujan 2. Ramanujan could not complete his college education because of illness. Mathematical legacy of srinivasa ramanujan, ram murty.
The purpose of this paper is to introduce some of the contributions of. Other formulas of this type, referring to the ninth and eleventh primitive roots of. Srinivasa iyengar ramanujan born 22 december 1887 kumbakonam, madras presidency british india died 26 april 1920 chetput, madras, british india college government arts college pachaiyappas college cambridge university academic advisors g. If you have additional information or corrections regarding this mathematician, please use the update form. Magic squares, theory of partitions, ramanujans contribution to the concept of highly composite numbers, expressions for. Pdf contributions of srinivasa ramanujan to number theory. An introduction to ramanujans magic squares georgep. Sitaramachandrarao department of mathematics, university of toledo, toledo, ohio 43606 communicated by n. Ramanujan s notebooks the history of the notebooks, in brief, is the following. The same notice was printed, with slight changes, in the proceedings of the royal society a 1921, 94, xiiixxix. A short biography of famous mathematician srinivasa.
There is no doubt that srinivas ramanujan was a magical genius, one of the greatest of all time. In trigonometry one can derive multitudes of formulas identities. In the rich heritage that india has, one such great mathematician is srinivasa ramanujan. Contributions of mathematics genius srinivasa ramanujan in mathematics bhushan kumar assistant professor, deptt. Life and work of the mathemagician srinivasa ramanujan. The representations of 1729 as the sum of two cubes appear in the bottom right corner.
Srinivasa ramanujan was an indian mathematician during the colonial era. Ramanujan,due to his extreme poverty,could not even complete his college education. Ramanujans formula department of mathematics university of. After ramanujan died, hardy strongly urged that ramanujans notebooks be. Hardy in developing the formula for the number, pn, of. 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. Hardyramanujan number once hardy visited to putney where ramanujan was hospitalized. 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. Ramanujans formula for the riemann zeta function extended.
Magic square brocard ramanujan diophatine equation dougall ramanujan id. Ramanujan hardy asymptotic formula ramanujan s one of the major work was in the partition of numbers. Hardy went to the hospital to visit him, he remarked that he had ridden in a taxicab with the number 1729, adding what a dull number to ride in to the hospital. Hardy in the proceedings of the london mathematical society 2 1921, 19, xllviii. Probably ramanujan s life has no parallel in the history of human thought. He is considered to be one of the most talented mathematicians in recent history. The mathematician mark kac divided all geniuses into two types. For people who work in this area of math, the problem has been open for 90 years, emory university mathematician ken ono said. Srinivasa ramanujan s contributions in mathematics dharminder singh1. The letters from and to ramanujan are also a source of both mathematical and personal.
Ramanujan then set out some of his remarkable results. 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. Pdf the purpose of this paper is to introduce some of the contributions of srinivasa ramanujan to number theory. An overview of ramanujans notebooks department of mathematics. His fathers name was kuppuswami and mothers name was komalatammal. Littlewood, two worldclass mathematicians at cambridge, and enjoyed an extremely fruitful period of collaboration with them. In addition to the expansions discussed in this article, ramanujans sums are used in the proof. In a lifespan of 32 years, ramanujan contributed more to mathematics than many other accomplished mathematicians. Town high school of kumbakonam got a copy of george schoobridge carrs \a synopsis of pure and applied mathematics 1904. Thetoptenmost fascinatingformulasin ramanujanslostnotebook george e. Srinivasa ramanujan iyengar december 22, 1887 april 26, 1920 was an indian mathematician. Ramanujan and mathematics in india texpoint fonts used in emf. Several of the theorems in the notebooks are rediscoveries by ramanujan of earlier theorems of.
Thus was srinivasa ramanujan 18871920 introduced to the mathematical world. 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. He lived in erode for only a year and then moved with his mother to kumbakonam, the town where kuppuswamy srinivasa aiyangar ramanujans father worked as a clerk in a cloth. The more interesting question is ramanujans motivation for such a formula. Mathematicians centuryold secrets unlocked live science. Hindered by poverty and illhealth, his highly original work has considerably enriched number theory. He was born at erode in tamil nadu on 22 december 1887. Three puzzles inspired by ramanujan quanta magazine. Indian mathematician srinivasa ramanujan, the tata institute.
Srinivasa ramanujan was a famous indian mathematician. Ramanujans notebooks pdf ramanujan no longer concentrated on logging entries in his notebooks is. Srinivasa ramanujan was an indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. Ramanujans notebooks the institute of mathematical sciences. Srinivasa aiyangar ramanujan,popularly known as srinivasa ramanujan or s. Ramanujan in this paper, we discuss various equivalent formulations for the sum of an infinite series considered by s. It is easy to imagine a distinguished professor such as hardy shrugging aside this letter arriving out of the blue from an unknown amateur in. Ramanujan,is remembered as the most brilliant mathematician of india. Srinivasa ramanujan frs was an indian mathematician who lived during the british rule in. Conversely, it was later concluded that ramanujan was dealing with liver disease as well.
In 1914, srinivasa ramanujan found a formula for computing pi that converges rapidly. His formula computes a further eight decimal places of. Srinivasa ramanujan the mathematics genealogy project. The equation expressing the near counter examples to fermats last theorem appears further up. A visit to hospital in a taxi resulted in one of the most celebrated anecdotes once, when g.
294 1258 816 72 1382 259 940 352 324 694 981 21 190 1523 1540 1355 685 328 192 177 586 210 921 471 159 623 440 1329 364 1229 928 1304 147 943