2. Born - 22 December 1887
Kumbakonam, Madras Presidency British
India
Died - 26 April 1920 Chetput, Madras,
British India
College - Government Arts College
Pachaiyappa’s College Cambridge University
Academic Advisors - G.H.Hardy
J.E.Littlewood
3. No formal training in Mathematics
Made extraordinary contributions to
Mathematical Analysis, Number
Theory, Infinite Series and Continued
Fractions.
Expert in Trigonometry at age 12
Discovered theorems of his own
Fellow of the Royal Society and Trinity
College, Cambridge
4. Born in Erode to K. Srinivasa Iyengar and
Komalatmmal
Lived in Sarangapani Street in Kumbakonam
Went school first on 1.10.1892.
Had to switch primary school 3 times due to
unfavourable circumstances.
Completed Math exam in half the allotted
time.
A synopsis of Elementary Results in Pure and
Applied Mathematics. Book acknowledged in
awakening the genius of Ramanujan.
Left college without a degree and pursued
research in Mathematics.
5. Married to a 9 year old bride Janaki
Ammal on 14 July 1909.
Searched for job
Tutored college students
6. Met V. Ramaswamy Aiyer, founder of
Indian Mathematical Society
“I was struck by the extraordinary
mathematical results contained in it [the
notebooks]. I had no mind to smother his
genius by an appointment in the lowest
rungs of the revenue department”
Introduced to R. Ramachandra Rao,
secretary of the Indian Mathematical
Society
Impressed by Ramanujan but doubted
his integrity.
Continued Mathematical Research with
Rao’s financial help
7. Published his work in Journal of Indian
Mathematical Society
First problem which he posed
He then formulated an equation to solve
the infinitely nested radicals problem
Wrote his 1st formal paper for the journal
on the properties of Bernoulli Numbers
In early 1912 he got a job in the
Madras Accountant Generals office
with a salary of Rs 20 per month.
8. Later he applied for a position under
the Chief Accountant of the Madras
Port Trust
Accepted as a Class III, Grade IV
accounting clerk making 30 rupees per
month
Spent spare time doing Mathematical
Research
9. M. J. M. Hill of University College
London argued that though
Ramanujan had taste for Mathematics
he lacked the proper educational
background and foundation
He refused to take Ramanujan as
student
But gave him professional advice on
his work
10. G.H. Hardy was an academician at
Cambridge University
He was a prominent English mathematician,
known for his achievements in number
theory and mathematical analysis.
Later on Ramanujan wrote to G.H.Hardy
Hardy recognised some of his formulae but
other “seemed scarcely possible to believe”.
12. Ramanujan boarded the S.S.Nevasa on 17
March 1914 and arrived in London on 14th
April
Ramanujan began working with Hardy and
Littlewood
Hardy received 120 theorems from him in 1st
2 letters but there were many more results in
his notebook
After working with Ramanujan Littlewood
commented, "I can believe that he's at least a
Jacobi”
Hardy said he "can compare him only with
[Leonhard] Euler or Jacobi”
Ramanujan spent nearly 5 years in Cambridge
13. Hardy believed that Ramanujan’s theorems
must be true otherwise no one could have
imagined to invent them
Hardy considered to be “a mathematician of
the highest, a man of altogether exceptional
originality and power”
Hardy’s one colleague E.H. Neville commented
that “not one theorem could have been set in
the most advanced mathematical examination
in the world”
Hardy invited Ramanujan to cambridge
university but Ramanujan refused
Hardy then enlisted E.H. Neville to bring
Ramanujan to England
With his parents supporting him he agreed to
the proposal this time
14. Awarded BA degree by research (later
called PhD) in March 1916
6 December 1917 – Elected to London
Mathematical Society
Became a ‘Fellow of The Royal
Society’ in 1918
Became the first Indian to be elected a
Fellow of Trinity College, Cambridge
15. Ramanujan's health worsened in
England Diagnosed with
Tuberculosis and Vitamin deficiency
Returned to Kumbakonam in 1919 and
died soon thereafter at the age of 32
In 1994 Dr. D.A.B. Young analysed his
records and concluded he had hepatic
amoebiasis
16.
17. A person with a somewhat shy and
quiet disposition
A dignified man with pleasant
manners
Ramanujan credited his success to his
family Goddess, Namagiri of Namakkal
He claimed to receive visions of scrolls
of complex mathematical content
unfolding before his eyes
18. Recorded his work in 4 notebooks of
loose leaf paper
Results were written without derivation
Mathematician Bruce C. Berndt says that
Ramanujan was able to make the proofs
but chose not to.
Might have worked on slate
Or may be influenced by G.S Carr’s book
which stated results without proofs
Mathematicians such as Hardy, G.N.
Watson, B.M. Wilson and Bruce Berndt
created papers from his work
19. Hardy arrived in a cab numbered 1729
He commented that the number was
uninteresting
Instantly Ramanujan claimed that it
was the smallest natural number
which can be written as sum of cubes
in 2 ways
20. J.H. Hardy was highly impressed by
Ramanujan
Hardy said that the solutions were
“arrived at by a process of mingled
argument, intuition, and induction, of
which he was entirely unable to give any
coherent account”
On the basis of pure talent Hardy rated
himself a score of 25 out of 100, J.E.
Littlewood 30, David Hilbert 80 and
Ramanujan 100 !
Physicist Jayant Narlikar appreciated
Ramanujan’s discoveries
21. Tamil Nadu celebrates 22 December
as ‘State IT Day’
Stamp released by the Govt. in 1962
22nd December celebrated as
Ramanujan Day in Govt Arts College,
Kumbakonam
National Symposium On Mathematical
Methods and Applications (NSMMA)
SASTRA Ramanujan Prize
22. A play ‘First Class Man’ is centered around
Ramanujan
Book by Robert Kanigel titled ‘The Man Who
Knew Infinity: A Life of the Genius
Ramanujan’ is his biography
In the famous film ‘Good Will Hunting’ the
main character is compared to Ramanujan
‘A Disappearing Number’, a show by British
Stage Production is about Ramanujan and
Hardy
Character Amita Ramanujan in the show
Numb3rs is named after him
Roger Spottiswoode is working on a movie on
mathematical genius Srinivasa Ramanujan
starring Rang
23. An equation for me has no meaning, unless it
represents a thought of God.