Quarter: 1 Current Event Presentation

ofGreat Mathematician

Srinivasa Aiyangar Ramanujan(1887-1920)

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 22nd December, 1887 in Erode (a

small village in Madras), Tamil Nadu State, India.

Died on 26th April, 1920 in Kumbakonam, Tamil Nadu State, India.

About him….

He worked on… elliptic functions : f(z) and f(w + z) is same

thing.

Continued fraction:

Infinite series.

What he did???

Ramanujan entered the Town High School in 1898.

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

Cont.

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) ax3 + bx2 + cx + d = 0 He went on finding his own method of solving quartic equation. ax4 + bx3 + cx2 + dx + e = 0 He failed to solve a quintic equation. ax5 + bx4 + cx3 + dx2 + 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/(ex - 1) = (Bnxn)/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).

Difficulties

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.

Publishing

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.

Extraaa

Ramanujan

Harish-Chandra (1923-1983) Harish-Chandra was also born in India. His birth

place is Kanpur. John Henry Constantine whitehead (1904-1960)

and Sathamangalam Ranga Lyengar Srinivasa Varadhan (1940) was born in Madras, India.

Other Mathematicians from India.

http://www-history.mcs.st-and.ac.uk/Biographies/Ramanujan.html

http://www-history.mcs.st-and.ac.uk/Countries/India.html

http://www-history.mcs.st-and.ac.uk/BirthplaceMaps/Madras.html

Credits

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