Premium Essay

Ramanujan

In:

Submitted By drt5gjyhjki8u
Words 343
Pages 2
SRINIVASA RAMANUJAN
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He had almost no formal training, but made extraordinary contributions to mathematics.
Born in a poor Brahmin family on 22 December 1887, Ramanujan's introduction to formal mathematics began at age 10. It was clear that he had a natural ability, and he was given books on advanced trigonometry that he mastered by the age of 12; he even discovered theorems of his own. He demonstrated unusual mathematical skills at school, winning accolades and awards. By 17, Ramanujan had conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant.
Ramanujan received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue independent mathematical research, working as a clerk to support himself. Between 1912 and 1913, he sent samples of his theorems to three academicians at the University of Cambridge. G. H. Hardy, an academician at the University of Cambridge, recognized the brilliance of his work and invited Ramanujan to visit and work with him at Cambridge. He became a Fellow of the Royal Society and a Fellow of Trinity College, Cambridge.
During his short lifetime, Ramanujan independently compiled nearly 3900 results which were mostly identities and equations. Most of his claims have now been proven correct, although a small number of these results were actually false and some were already known. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. Sadly, Ramanujan died of malnutrition, and possibly liver infection in 1920 at the age of 32 on 26 April 1920.
In December 2011, as a tribute to the mathematical genius

Similar Documents

Premium Essay

Ramanujan

...Srinivasa Ramanujan  (22 December 1887 – 26 April 1920) was an Indianmathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis,number theory, infinite series and continued fractions. Ramanujan was said to be a natural genius by the English mathematician G.H. Hardy, in the same league as mathematicians like Euler and Gauss.[1] Born in a poor Brahmin family, Ramanujan's introduction to formal mathematics began at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry written by S. L. Loney that he mastered by the age of 12; he even discovered theorems of his own, and re-discoveredEuler's identity independently.[2] He demonstrated unusual mathematical skills at school, winning accolades and awards. By 17, Ramanujan had conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. Ramanujan received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue independent mathematical research, working as a clerk in the Accountant-General's office at the Madras Port Trust Office to support himself.[3] In 1912–1913, he sent samples of his theorems to three academics at the University of Cambridge. G. H. Hardy, recognizing the brilliance of his work, invited Ramanujan to visit and work with him at Cambridge. He became a Fellow of the Royal...

Words: 405 - Pages: 2

Free Essay

Srinivasa Ramanujan- One of the Greatest Indian Mathematician

...Srīnivāsa Rāmānujan 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. Ramanujan was said by the English mathematician G.H. Hardy to be in the same league as mathematicians like Euler and Gauss in terms of natural genius. He was born on 22na of December 1887 in a small village of Tanjore district, Madras. He failed in English in Intermediate, so his formal studies were stopped but his self-study of mathematics continued. .[9] His father, K. Srinivasa Iyengar, worked as a clerk in a sari shop and hailed from the district of Thanjavur.[10] His mother, Komalatammal, was a housewife and also sang at a local temple.[11] They lived in Sarangapani Street in a traditional home in the town of Kumbakonam. Born in Erode, Madras Presidency, to a poor Brahmin family, Ramanujan first encountered formal mathematics at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry written by S. L. Loney.[2] He mastered them by age 12, and even discovered theorems of his own, including independently re-discovering Euler's identity.By 17, Ramanujan conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue...

Words: 753 - Pages: 4

Free Essay

Cartoons N Animations

...Srīnivāsa Rāmānujan 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. Ramanujan was said by the English mathematician G.H. Hardy to be in the same league as mathematicians like Euler and Gauss in terms of natural genius. He was born on 22na of December 1887 in a small village of Tanjore district, Madras. He failed in English in Intermediate, so his formal studies were stopped but his self-study of mathematics continued. .[9] His father, K. Srinivasa Iyengar, worked as a clerk in a sari shop and hailed from the district of Thanjavur.[10] His mother, Komalatammal, was a housewife and also sang at a local temple.[11] They lived in Sarangapani Street in a traditional home in the town of Kumbakonam. Born in Erode, Madras Presidency, to a poor Brahmin family, Ramanujan first encountered formal mathematics at age 10. He demonstrated a natural ability, and was given books on advanced trigonometry written by S. L. Loney.[2] He mastered them by age 12, and even discovered theorems of his own, including independently re-discovering Euler's identity.By 17, Ramanujan conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework. He joined another college to pursue...

Words: 753 - Pages: 4

Premium Essay

Faaltu

...Srinivasa Ramanujan Srinivasa Ramanujan was one of India 's mathematical geniuses. He made wonderful contributions to the field of advanced mathematics. Ramanujan was born in his grandmother 's house in Erode, a small village near Chennai in Tamil Nadu. He joined the Town High School there in January 1898 and was a very good student. But his real aptitude lay in mathematics. He got a scholarship for his first year at the Government College in Kumbakonam. But he devoted more time to mathematics and neglected his other subjects. In 1906, Ramanujan joined Pachaiyappa 's College at Chennai. He passed in math, but flunked all his other subjects. In the following years, he worked on developing his own ideas in mathematics, without having a real idea of the research topics then. On 14 July 1909, he married a nine-year-old girl his mother arranged for him. However, Ramanujan did not live with his wife until she was 12-years-old. During this period, he published many papers and was becoming well known in Chennai as a mathematical genius. In 1913, while he worked as a clerk in the Indian Mathematical Society, Ramanujan wrote to Cambridge mathematician, GH Hardy, and told him about his work. Soon a regular correspondence developed between the two. And in 1914 Ramanujan enrolled at Trinity College, Cambridge. There, Hardy and Ramanujan began collaborating. But Ramanujan did not keep well. Being an orthodox Brahmin, he was a strict vegetarian. During World War I, when food was already scarce...

Words: 376 - Pages: 2

Premium Essay

Faaltu

...Srinivasa Ramanujan Srinivasa Ramanujan was one of India 's mathematical geniuses. He made wonderful contributions to the field of advanced mathematics. Ramanujan was born in his grandmother 's house in Erode, a small village near Chennai in Tamil Nadu. He joined the Town High School there in January 1898 and was a very good student. But his real aptitude lay in mathematics. He got a scholarship for his first year at the Government College in Kumbakonam. But he devoted more time to mathematics and neglected his other subjects. In 1906, Ramanujan joined Pachaiyappa 's College at Chennai. He passed in math, but flunked all his other subjects. In the following years, he worked on developing his own ideas in mathematics, without having a real idea of the research topics then. On 14 July 1909, he married a nine-year-old girl his mother arranged for him. However, Ramanujan did not live with his wife until she was 12-years-old. During this period, he published many papers and was becoming well known in Chennai as a mathematical genius. In 1913, while he worked as a clerk in the Indian Mathematical Society, Ramanujan wrote to Cambridge mathematician, GH Hardy, and told him about his work. Soon a regular correspondence developed between the two. And in 1914 Ramanujan enrolled at Trinity College, Cambridge. There, Hardy and Ramanujan began collaborating. But Ramanujan did not keep well. Being an orthodox Brahmin, he was a strict vegetarian. During World War I, when food was already scarce...

Words: 376 - Pages: 2

Free Essay

Mess Workers

...management staff at. The cordial relationship they share with their supervisors makes their work life, in their own words, highly satisfactory and enjoyable. Ramanujan proudly remarks, “Whenever the ex-students visit the campus for reunions or even otherwise, a few of them always drop by at the mess and catch up with us old-timers. It feels so good when someone remembers us even after so many years! Sometimes they take photographs with us as well for memories.” While at the outset, everything looks just fine, a glimpse into the unspoken lives of those having a certain and invisible hand in the success and grooming of India’s future business tycoons reveals much more than a gloomy, yet interesting pattern. Beyond the largely mechanical life of the mess workers lie challenging socio-economic questions about the state of the Indian society that demand a much deeper and insightful reasoning. And so, like most other things, the struggling journey of their lives certainly has more to it than what meets the eye. One thing that the senior mess workers and staff members feel really proud of is the treatment and respect they receive from the student community and their management staff at. The cordial relationship they share with their supervisors makes their work life, in their own words, highly satisfactory and enjoyable. Ramanujan proudly remarks, “Whenever the ex-students visit the campus for reunions or even otherwise, a few of them always drop by at the mess and catch up with us old-timers...

Words: 395 - Pages: 2

Premium Essay

Illegal Immigrants in the Usa

...Jany Corria ENC 1102 November 13, 2014 Illegal Immigrants in U.S. Should illegal immigrants receive social services, such as, medical aid, food stamps, and welfare? This is a very controversial question that concerns many American citizens. United States is a country formed by immigrants, who came to this country following the American Dream. However, in recent years the arriving of illegal immigrants has caused controversy among many American citizens. People have been debating whether or not illegal immigrants affect the economy of the country. Those who are in favor of helping illegal immigrants state that immigrants “benefit the economy by increasing demand, spurring investment, and keeping receiving-country industries competitive through enhancing capital productivity (Borjas 1994)”. Those who are against state that illegal immigrants cause high costs to the government that include medical aid, welfare, and enrollment in public schools. According to Jeffrey T. Kullgren, MD, MPH “many cases of infectious disease are identified not when symptoms manifest themselves, but when patients seek medical care for other unrelated conditions. Consequently, identifying and treating communicable diseases in their earliest stages requires that undocumented immigrants be able to access services for all health conditions, not just those that have progressed to an emergency level or include symptoms of infectious disease before others in the community are exposed.” That is to say that...

Words: 873 - Pages: 4

Free Essay

Bio. Laetitia Zecchini

...This article was downloaded by: [148.85.1.113] On: 16 March 2015, At: 06:02 Publisher: Routledge Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK Interventions: International Journal of Postcolonial Studies Publication details, including instructions for authors and subscription information: http://www.tandfonline.com/loi/riij20 Contemporary Bhakti Recastings Laetitia Zecchini a a CNRS, France Published online: 03 Jun 2013. Click for updates To cite this article: Laetitia Zecchini (2014) Contemporary Bhakti Recastings, Interventions: International Journal of Postcolonial Studies, 16:2, 257-276, DOI: 10.1080/1369801X.2013.798128 To link to this article: http://dx.doi.org/10.1080/1369801X.2013.798128 PLEASE SCROLL DOWN FOR ARTICLE Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. Taylor and Francis shall not be...

Words: 10313 - Pages: 42

Premium Essay

Strategic Analysis

...Failure Analysis/Change Strategy LDR/531 October 27th, 2014 Professor Timothy De Long Failure Analysis/Change Strategy Introduction Comparing and contrasting failing and thriving businesses provides insight into best business practices. Examining a failed company, Blockbuster, and a successful company, Intuit, offers an opportunity to learn from managerial mistakes and triumphs. Failure and Success Blockbuster Inc. is an example of a failed business. Their updated mission, objectives, and vision were altered too late to keep up with the changing demand for convenient internet streaming videos. The company stated their “mission is to provide our customers with the most convenient access to media entertainment, including movie and game entertainment delivered through multiple distribution channels such as our stores, by-mail, vending and kiosks, online and at home. We believe Blockbuster offers customers a value-prices entertainment experience, combining the broad product depth of a specialty retailer with local neighborhood convenience" (Farfan, 2014 Blockbuster's Mission Statement). Their vision was to “provide our customers with the most convenient access to media entertainment delivered through multiple channels…. Offer customers a value-prices entertainment experience… broad product depth… with local neighborhood convenience” (Blockbuster Goes Bust – Outfoxed by Redbox, Licked by Netflix," 2014, para.8). The updated objectives were reasonable but were implemented...

Words: 2020 - Pages: 9

Free Essay

India a Portrait Essay

...India A Portrait Patrick French is the author of India a Portrait, French is a historian and a writer who has also published Liberty or Death: India’s journey to independence and Division and The World is What it is: The Authorized biography of V.S. Naipaul. Penguin books published India A Portrait in 2011.In this novel, French gives a detailed account of the economic and political state of India starting from the Aryan era to modern India. French has divided the book into 3 parts: part 1 is Rashtra: Nation, 2nd part being Lakshmi: Wealth and the 3rd part being called Samaj: Society. In each section of the book French provides detailed explanations of the changes that the Indian society and nation had to deal with during times of major political and economical change such as the times of the Aryan, Mogul and British rule and the partition of India in 1947. This book focuses largely on the changes that Indian society had to deal with after the end of the British rule in their country and how the economic and political state of India has changed since gaining independence. The book takes you on a 435 page long journey in which the rich history of India is explored and the change of India from being a colonized country to the world’s largest democracy is witnessed. I have compared French’s book India A Portrait to his other nonfiction history novel the Biography of V.S Naipaul and to Ramanajuns novel India after Gandhi. French begins his book by describing India's...

Words: 1204 - Pages: 5

Premium Essay

Failure Analysis

...Failure Analysis/Change Strategy LDR/531 October 27th, 2014 Professor Timothy De Long Failure Analysis/Change Strategy Introduction Comparing and contrasting failing and thriving businesses provides insight into best business practices. Examining a failed company, Blockbuster, and a successful company, Intuit, offers an opportunity to learn from managerial mistakes and triumphs. Failure and Success Blockbuster Inc. is an example of a failed business. Their updated mission, objectives, and vision were altered too late to keep up with the changing demand for convenient internet streaming videos. The company stated their “mission is to provide our customers with the most convenient access to media entertainment, including movie and game entertainment delivered through multiple distribution channels such as our stores, by-mail, vending and kiosks, online and at home. We believe Blockbuster offers customers a value-prices entertainment experience, combining the broad product depth of a specialty retailer with local neighborhood convenience" (Farfan, 2014 Blockbuster's Mission Statement). Their vision was to “provide our customers with the most convenient access to media entertainment delivered through multiple channels…. Offer customers a value-prices entertainment experience… broad product depth… with local neighborhood convenience” (Blockbuster Goes Bust – Outfoxed by Redbox, Licked by Netflix," 2014, para.8). The updated objectives were reasonable but were implemented...

Words: 2020 - Pages: 9

Free Essay

Fdadfsadf

...Indians gave the system of numerals, zero, geometry & equations to the world. The great Indian mathematician Aryabhata   (476-529) wrote the Aryabhatiya ─ a volume of 121 verses. Apart from discussing astronomy, he laid down procedures of arithmetic, geometry, algebra and trigonometry. He calculated the value of Pi at 3.1416 and covered subjects like numerical squares and cube roots. Aryabhata is credited with the emergence of trigonometry through sine functions. Around the beginning of the fifteenth century Madhava (1350-1425) developed his own system of calculus based on his knowledge of trigonometry. He was an untutored mathematician from Kerala, and preceded Newton and Liebnitz by a century. The twentieth-century genius Srinivas Ramanujan (1887-1920) developed a formula for partitioning any natural number, expressing an integer as the sum of squares, cubes, or higher power of a few integers. Origin of Zero and the Decimal System The zero was known to the ancient Indians and most probably the knowledge of it spread from India to other cultures. Brahmagupta (598-668),who had worked on mathematics and astronomy, was the head of the astronomy observatory in Ujjain, which was at that point of time, the foremost mathematical centre in India; he and Bhaskar the second (1114-1185), who reached understanding on the number systems and solving equations, have together provided many rules for arithmetical operations with the...

Words: 488 - Pages: 2

Free Essay

Mathematics

...MATHEMATICS has played a significant role in the development of Indian culture for millennia. Mathematical ideas that originated in the Indian subcontinent have had a profound impact on the world. Swami Vivekananda said: ‘you know how many sciences had their origin in India. Mathematics began there. You are even today counting 1, 2, 3, etc. to zero, after Sanskrit figures, and you all know that algebra also originated in India.’ It is also a fitting time to review the contributions of Indian mathematicians from ancient times to the present, as in 2010, India will be hosting the International Congress of Mathematicians. This quadrennial meeting brings together mathematicians from around the world to discuss the most significant developments in the subject over the past four years and to get a sense of where the subject is heading in the next four. The idea of holding such a congress at regular intervals actually started at The Columbian Exhibition in Chicago in 1893. This exhibition had sessions to highlight the advancement of knowledge in different fields. One of these was a session on mathematics. Another, perhaps more familiar to readers of Prabuddha Bharata, was the famous Parliament of Religions in which Swami Vivekananda first made his public appearance in the West. Following the Chicago meeting, the first International Congress of Mathematicians took place in Zurich in 1897. It was at the next meeting at Paris in 1900 that Hilbert...

Words: 4007 - Pages: 17

Premium Essay

Illegal Immigration Concept Paper- Grade (a)

...A woman from Mexico named Maythe had no idea that when she crossed the border twice in the late 1900’s that it would have a severe impact on her life. She was a single mother with her young daughter in tow when she entered America illegally for a better future. She got caught twice with the border patrol in past years but eventually made her way in. Maythe got a minimum wage job at a Burger King, ended up falling in love with a U.S. citizen and thought that once they married she would be granted legal citizenship. Her husband fully aware of her illegal immigration status, decided to go underground with his new family, so they would not be separated for years if caught. After years of hiding from the law, Maythe was caught in 2010 for driving her vehicle too slowly and was handed directly over to Customs. With her American citizen husband of now 12 years and an American citizen child they share together, she thought they would have bigger problems on their hands then to send her back. She fought her case for months, eventually lost and was deported back to the country she fled all those years ago. Maythe now lives in Tijuana, Mexico, alone, while her husband and children live in San Diego. She is banned from entering America for the next 20 years. Her family often takes the long drive, weekend after weekend, just to spend time with their wife and mother, to be a whole family again. Maythe knows without her family she will continue living a lonely life and wishes the illegal...

Words: 1898 - Pages: 8

Free Essay

History of Indian Mathematics

...Indians gave the system of numerals, zero, geometry & equations to the world. The great Indian mathematician Aryabhata (476-529) wrote the Aryabhatiya ─ a volume of 121 verses. Apart from discussing astronomy, he laid down procedures of arithmetic, geometry, algebra and trigonometry. He calculated the value of Pi at 3.1416 and covered subjects like numerical squares and cube roots. Aryabhata is credited with the emergence of trigonometry through sine functions. Around the beginning of the fifteenth century Madhava (1350-1425) developed his own system of calculus based on his knowledge of trigonometry. He was an untutored mathematician from Kerala, and preceded Newton and Liebnitz by a century. The twentieth-century genius Srinivas Ramanujan (1887-1920) developed a formula for partitioning any natural number, expressing an integer as the sum of squares, cubes, or higher power of a few integers. Origin of Zero and the Decimal System The zero was known to the ancient Indians and most probably the knowledge of it spread from India to other cultures. Brahmagupta (598-668),who had worked on mathematics and astronomy, was the head of the astronomy observatory in Ujjain, which was at that point of time, the foremost mathematical centre in India; he and Bhaskar the second (1114-1185), who reached understanding on the number systems and solving equations, have together provided many rules for arithmetical operations with the zero. Varahamihira (505-668) who was educated in...

Words: 1023 - Pages: 5