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. Srinivasa ramanujan mathematician invented a number of remarkable identities which shows the partition function. Three puzzles inspired by ramanujan quanta magazine. 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. Srinivasa ramanujan biography childhood, life achievements. 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. Jul 14, 2016 srinivasa ramanujans story is part of mathematical folklore, one of the most romantic in the history of mathematics. He was considered as doyen of number theory, infinite series, mathematical analysis, and making formulas and equations without any formal training in pure mathematics. Srinivasa ramanujan, hailed as one of the greatest mathematicians of this century, left behind an incredibly vast and formidable amount of original work, which has greatly in. He told his wife, janaki ammal, his work would bring laurel.
At age 15 srinivasa ramanujan obtained a mathematics. He is counted among the greatest mathematics thinkers of the modern period. Srinivasa ramanujan is one of the greatest mathematicians in history and one of the most romantic. Srinivasa ramanujan biography in hindi about s ramanujan. Srinivasa ramanujan the mathematics genealogy project. Nov 06, 2019 srinivasa ramanujan biography srinivasa ramanujan iyengar was a great indian mathematician. Srinivasa ramanujan s contributions in mathematics dharminder singh 1, arun kumar chopra 2, sukhdeep singh bal 3 1,2 asst. The mathematical legacy of srinivasa ramanujan mathematical. Hardy in developing the formula for the number, pn, of partitions of a number n. There is no doubt that he was a great mathematician, but had he had simply a good university.
Srinivasa ramanujan 1887 1920 mactutor history of mathematics. 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. Ppt srinivasa ramanujan powerpoint presentation free to. Srinivasa ramanujan was born on december 22, 1887 in erode, a city in the tamil nadu state of india. But that does not prevent us from recognizing the work of a genius, the rarest. 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. The purpose of this paper is to introduce some of the contributions of srinivasa ramanujan to number theory. It wasnt by a famous mathematician, and it wasnt full of the most uptodate work, either.
Srinivasa ramanujans story is part of mathematical folklore, one of the most romantic in the history of mathematics. This centennial tribute commemorates ramanujan the mathematician and ramanujan the man. Dec 23, 2016 srinivasa ramanujan was an indian mathematician during the colonial era. Relevance of srinivasa ramanujan the man who knew infinity. Hardy is known for his achievements in number theory and mathematical analysis. Department of mathematics university of central florida orlando, florida 32816, u. Dec 26, 2018 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. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. 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. Pdf a note on mathematics genius srinivasa ramanujan, frs. H hardy summed up his contibution in following words, the limitations of his knowledge were as startling as its profundity. The book was a synopsis of elementary results in pure and applied mathematics 1880, revised in 1886, by george shoobridge carr. Srinivasa ramanujan made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite. 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.
Hypergeometric and basic hypergeometric series qseries. His fathers name was kuppuswami and mothers name was komalatammal. He died on 26 april 1920, at the age of 32 and illuminated the path of many mathematicians in the. His father worked in kumbakonam as a clerk in a cloth merchants shop. Srinivasa iyengar was a clerk while his mother, komalatammal performed as a singer, in a temple. 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. Srinivasa ramanujan was born on 22 nd december, 1887 in erode district of tamil nadu. His priceless contribution to mathematics has been appraised all over the world. Biography of srinivasa ramanujan, mathematical genius. Since he has showed his supernatural talent by himself,again people around him tried to connect him with big english matematicians. If you would like to contribute, please donate online using credit card or bank transfer or mail your taxdeductible contribution to.
Born in south india, ramanujan was a promising student, winning academic prizes in high school. Pdf contributions of srinivasa ramanujan to number theory. A brief account of his llfe, career, and remarkable mathematical contributions is given to describe the gifted talent of srinivasa. Working alone, he discovered highly original and unknown mathematical results that were far ahead of his time. Hardy thought at first it could be fraud because most of ramanujans works were impossible to believe. Throughout the history of mathematics, there has been no one remotely like srinivasa ramanujan.
Srinivasa ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. 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 who discovered a variety of bewildering identities. Read the contribution of ramanujan in mathematics and know about the ramanujan theorems. Pi ramanujans formula calculator high accuracy calculation. Srinivasa ramanujan author of collected papers of srinivasa. Contributions of mathematics genius srinivasa ramanujan in mathematics bhushan kumar assistant professor, deptt. He did not get any special training in mathematics, yet he made significant contributions in the areas of analysis and number theory. The importance of his research continues to be studied and inspires. Seshu aiyar also communicated the earliest contributions of ramanujan to the journal of the indian mathematical society i. Ramanujan was born in his grandmothers house in erode, a small village about 400 km southwest of madras now chennai. Thus was srinivasa ramanujan 18871920 introduced to the mathematical world. Srinivasa ramanujan 1887 mactutor history of mathematics. Srinivasa ramanujan was an indian mathematician during the colonial era.
Srinivasa ramanujan made great contributions to the field of mathematics, including a collaboration with wellknown mathematician h. He is considered to be one of the most talented mathematicians in recent history. Srinivasa ramanujan was born on december 22, 1887 in the town of erode, in tamil nadu, in the south east of india. Srinivasa ramanujan was one of indias greatest mathematical geniuses. Littlewood, two worldclass mathematicians at cambridge, and enjoyed an extremely fruitful period of collaboration with them. Dec 23, 2014 srinivasa ramanujan was born on 22 nd december, 1887 in erode district of tamil nadu. Ramanujan s mathematical heritage ramanujan s interests include in nite series, integrals, asymptotic. There is no doubt that he was a great mathematician, but had he had simply a.
What are the mathematical contributions of ramanujan. Srinivasa ramanujan inventions are many, we can also found those ramanujan theorems and inventions on notebooks of srinivasa ramanujan. Srinivasa iyengar, an accounting clerk for a clothing merchant. Srinivasa ramanujan mathematician biography, contributions. Srinivasa ramanujan life and mathematics christian krattenthaler universit at wien christian krattenthaler srinivasa ramanujan. Something that is also important to note is the ramanujanconjecture, or ramanujanpetersson conjecture. Srinivasa ramanujan biography srinivasa ramanujan iyengar was a great indian mathematician. 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. Ramanujans contribution to continued fractions in letters from an unknown hindu clerk, g. Town high school of kumbakonam got a copy of george schoobridge carrs \a synopsis of pure and applied mathematics 1904. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis. 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. Srinivasa ramanujan frs born 18871222 22 december 1887 erode, madras presidency, british india died 26 april 1920 19200426 aged 32 kumbakonam, madras presidency, british india nationality british india education government arts college no degree pachaiyappas college no degree trinity college, cambridge bsc, 1916 known for landauramanujan constant mock theta functions.
He did not get any special training in mathematics, yet he made significant contributions in. Here was a man who could work out modular equations and theoremsto orders unheard o. As an example of his creativity in mathematics, some of his work on the theory of. Srinivasa ramanujan frs was an indian mathematician who lived during the british rule in india. This square looks like any other normal magic square.
On 1st october 1892 ramanujan was enrolled at local school. Even though they belonged to the brahmins who are known to be the highest caste of hinduism, ramanujans family was very poor. Life and work of the mathemagician srinivasa ramanujan. Srinivasa ramanujan iyengar december 22, 1887 april 26, 1920 was an indian mathematician.
But this is formed by great mathematician of our country srinivasa ramanujan. Srinivasa ramanujans contributions in mathematics iosr journal. Goldbachs conjecture is one of the important illustrations of ramanujan contribution towards the proof of the conjecture. But at age 16 his life took a decisive turn after he obtained a book titled a synopsis of. His discoveries also led to the infinite series for infinity formulation. At age 15 srinivasa ramanujan obtained a mathematics book containing. He made substantial contributions to the analytical theory of numbers and worked on. Ramanujan also became the first indian to be elected as a fellow of trinity college, cambridge for his contribution in developing the number theory, on th of october, 1918. Mathematics genealogy project department of mathematics north dakota state university p. Ramanujan is widespread in fields of algebra, geometry, trigonometry, calculus, number theory etc. Sep 10, 2019 srinivasa ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. This video is about srinivasa ramanujan biography in hindi, s ramanujan was an indian mathematician and autodidact who lived during the british raj.
But eventually,they were convinced and interested in his talent. Apr 22, 2016 throughout the history of mathematics, there has been no one remotely like srinivasa ramanujan. In 1917 he was hospitalized, his doctors fearing for his life. Srinivasa ramanujan was an indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions.
It may be impossible to define who a mathematical geniusis, or, genius for that matter. Sep 28, 2012 since he has showed his supernatural talent by himself,again people around him tried to connect him with big english matematicians. Hardy, at that time 19 cayley lecturer in mathematics and fellow of the royal society, received the. Srinivasa ramanujan 1887 1920 christian krattenthaler srinivasa ramanujan. Srinivasa ramanujan had his interest in mathematics unlocked by a book. College, chandigarh srinivasa ramanujan made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Srinivasa ramanujan frs born 18871222 22 december 1887 erode, madras presidency, british india died 26 april 1920 19200426 aged 32 kumbakonam. 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. Srinivasa ramanujan simple english wikipedia, the free. This journal publishes papers of the highest quality in all areas of mathematics influenced by ramanujan, including. Srinivasa ramanujan, the brilliant twentieth century indian mathematician, has been compared with alltime greats like euler, gauss and jacobi, for his naturalmathematical genius.
The number 1729 has acquired a special status in mathematics. But he is perhaps even better known for his adoption and mentoring of the selftaught indian mathematical genius, srinivasa ramanujan. 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. His mother was komalatammal, who earned a small amount of money each month as a singer at the local temple. Contributions of srinivasa ramanujan the chief contribution of ramanujan in mathematics lies mainly in analysis, game theory and infinite series. In 1987, chudnovsky brothers discovered the ramanujantype formula that converges more rapidly. 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 continued fractions.
The mathematics genealogy project is in need of funds to help pay for student help and other associated costs. Srinivasa ramanujan, mathematical prodigy, hastily scribbled formulas after formulas on loose sheets of papers. Ramanujans formula for pi 1 r a m a n u j a n 1, 1914 1. Something that is also important to note is the ramanujan conjecture, or ramanujan petersson conjecture.
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