Srinivasa ramanujan.ppt


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A tribute to the great mathematician on his 125th birthday.

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Srinivasa ramanujan.ppt

  1. 1. 1887 - 1920A True Friend of Numbers
  2. 2. Brief Introduction:Born : 22 December, 1887 Erode, PresidencyDied : 26 April, 1920 (aged 32) Chetput, Madras, Madras PresidencyResidence : KumbakonamNationality : IndianAlma mater : Government Arts College Pachaiyappa’s CollegeAcademic advisors : G.H. Hardy and J.E. LittlewoodKnown for : Landau – Ramanujan constant Mock theta functions Ramanujan conjecture Ramanujan prime Ramanujan Soldner constant Ramanujan theta function Ramanujan’s sum Rogers – Ramanujan identitiesSignature :
  3. 3. In 1887, in the town of KumbakonamA baby boy, Ramanujan, was born.His mom knew in her heart,From the stars she could chart,This was no ordinary mind.The boy grew and played,While the mother sat and prayed,Namagiri give us guidance and strength.With each passing year,It grew increasingly clearThis was no ordinary mind.The teachers at school, Ramanujans home on Sarangapani Street, Kumbakonam.Didn’t know what to doWith this young man, so many years ahead.One gave him a math book by Carr –5000 equations to explore.For better or worse, a blessing may be a curse.He lost interest in everything but math.
  4. 4. Early Life:Ramanujan was born on 22 December 1887 in Erode, Madras Presidency, at the residence ofhis maternal grandparents.His father, K. Srinivasa Iyengar, worked as a clerk in a sari shopand hailed from the district of Thanjavur.His mother, Komalatammal, was a housewifeand also sang at a local temple.They lived in Sarangapani Street in a traditional home inthe town of Kumbakonam. The family home is now a museum.On 1 October 1892, Ramanujan was enrolled at the local school.In March 1894, he was moved to a Telugu medium school. After his maternal grandfather lost his job as a courtofficial in Kanchipuram,Ramanujan and his mother moved back to Kumbakonam and hewas enrolled in the Kangayan Primary School Since Ramanujans father was at work most ofthe day, his mother took care of him as a child. He had a close relationship with her. From her,he learned about tradition and puranas. He learned to sing religious songs, to attend pujas atthe temple and particular eating habits – all of which are part of Brahmin culture.At theKangayan Primary School, Ramanujan performed well.Just before the age of 10, in November 1897, he passed his primary examinations in English,Tamil, geography and arithmetic. With his scores, he stood first in the district.That year,Ramanujan entered Higher Secondary School where he encountered formal mathematics forthe first time.By 11, he had exhausted the mathematical knowledge of two college studentswho were lodgers at his home. He was later lent a book on advanced trigonometrywritten by S. L. Loney. He completely mastered this book by the age of 13 anddiscovered sophisticated theorems on his own. By 14, he was receiving merit certificatesand academic awards which continued throughout his school career .
  5. 5. His notebooks filled with formulasthat no one had conceived; Adulthood in Indiabut his college courses suffered,so he was asked to leave.His mother arranged him a marriageTo nine-year old Janaki.Now he had to beg for a job to feed his new family.Boarded a train bound for MadrasLeaving his family, his new wife, far behind.Showed his notebook to Inida’s brightestHoping to find, at last, another brilliant mind.Someone who’d understand… his math…The math was too far above themAnd so his spirits sank.They had no way to determine was he a genius or a crank?And so he sent out lettersTo those who might understandTwas Hardy who finally recognizedThe brilliance of this man.He’d found someone to understand… his math…Boarded a ship, bound for CambridgeLeaving his country, his people, so far behind.Thus began math’s most famous collaboration,Between these two extraordinary minds.
  6. 6. Attention from mathematiciansRamanujan received a scholarship to study at Government Collegein Kumbakonam, but lost it when he failed his non-mathematicalcoursework. He joined another college to pursue independentmathematical research, working as a clerk in the Accountant-Generals office at the Madras Port Trust Office to support himself.In 1912–1913, he sent samples of his theorems to three academicsat the University of Cambridge. G. H. Hardy, recognizing the brillianceof his work, invited Ramanujan to visit and work with him at Cambridge. He became a Fellow of the Royal Society and a Fellow ofTrinity College, Cambridge.Srinivasa died of illness, malnutrition, and possibly liver infectionin 1920 at the age of 32.
  7. 7. During his short lifetime, Ramanujan independentlycompiled nearly 3900 results (mostly identities andequations).Most of his claims have now been provencorrect, although a small number of these results wereactually false and some were already known.He stated results that were both original and highlyunconventional, such as the Ramanujan prime andthe Ramanujan theta function, and these haveinspired a vast amount of further research.However, the mathematical mainstream hasbeen rather slow in absorbing some of his majordiscoveries. The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work.
  8. 8. His works: an interesting example G. H. Hardy The Guide
  9. 9. In December 2011, in recognition of hiscontribution to mathematics,the Government of India declared thatRamanujans birthday (22 December)should be celebrated every year asNational Mathematics Day,and also declared 2012 theNational Mathematical Year
  10. 10. A Project Made by ANUJA GUPTAACKNOWLEDGEMENTS And JYOTI RAWATWe are thankful to Of• Wikipedia•Our learned Sir Arun Kumar VII C•The Principal, KV, OFD Raipur Dehradun KV OFD Raipur Dehradun
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