By: Shweta Gyasi

 He was….  one of an India’s greatest mathematicians geniuses.  He does not have the university education  self-taught mathematician.  born on 22 nd December, 1887 in Erode (a small village in Madras), Tamil Nadu State, India.  Died on 26 th April, 1920 in Kumbakonam, Tamil Nadu State, India.

 He worked on…  elliptic functions : f(z) and f(w + z) is same thing.  Continued fraction:  Infinite series.

 Ramanujan entered the Town High School in  In 1906 he entered Pachaiyappa's College of Madras and his aimed was to pass the First Art Examination to study in the university of Madras.  He was really good in math so when he took his exam, he passed in math but failed in other subjects.  Also, because of his illness he failed it.  So he couldn’t able to enter the university of Madras

 But he continued developing math skills, the new ideas of math w/out any help other than Carr’s book.  In 1900, he worked on his own math summing geometric and arithmetic series.  He solved cubic equations. (1902)  ax 3 + bx 2 + cx + d = 0  He went on finding his own method of solving quartic equation.  ax 4 + bx 3 + cx 2 + dx + e = 0  He failed to solve a quintic equation.  ax 5 + bx 4 + cx 3 + dx 2 + ex + f = 0  He also investigated the series ∑(1/n) and calculated constant into 15 decimal places.  He began to study the Bernoulli #s (it was his own independent discovery.  (Bernoulli equation) x/(e x - 1) = (B n x n )/n  He also worked on hyper geometric series. And the solution of this equation is:  He also, Investigated the relation between series and integrals.  Despite many brilliant results, some of his theorems on prime #s were completely wrong.

 Ramanujan and Hardy had lot of conversations by letters about the qualification/scholarship of university. (certificate of university education).  First he wrote: I have…….mathematicians as 'startling'.  Hardy wrote him back that he had interest in his(Ramanujan) work so he wrote him a sympathetic letter so he could get a scholarship.  Finally, he got the scholarship of Madras university.  And also Hardy brought him to Trinity College, Cambridge, to begin an extraordinary collaboration.  Finally, he graduated from Cambridge with a Bachelor of Science (PH.D).

 His Bernoulli paper was published in the Journal of the Indian Mathematical Society.  After that he recognized for his work in the Madras area.  Afterwards, he was honored in the Royal society for his work.  He’s dissertation was on Highly composite numbers and seven (7) of his papers were published in England.  Most of the his work was published after his death as he left researched papers and notebooks (of his work). And that’s how he is famous.

 Ramanujan was born in his grandmother’s house and in Dec, 1889 he got smallpox.  Ramanujan used to be very ill. He used to got sick again and again. He had some problem with his diet.  He ran away from his house to the town of Vizagapatam for math.  He married 10-yr-old girl, S Janaki Ammal, his mother arranged for him. He did not live with her until she was 12-yr-old.

Ramanujan

 Harish-Chandra ( )  Harish-Chandra was also born in India. His birth place is Kanpur.  John Henry Constantine whitehead ( ) and Sathamangalam Ranga Lyengar Srinivasa Varadhan (1940) was born in Madras, India.

 and.ac.uk/Biographies/Ramanujan.html and.ac.uk/Biographies/Ramanujan.html  and.ac.uk/Countries/India.html and.ac.uk/Countries/India.html  and.ac.uk/BirthplaceMaps/Madras.html and.ac.uk/BirthplaceMaps/Madras.html

 Questions???  Sawaal???  Preguntas (cuestión)???