1) Ramanujan was a great Indian mathematician who was born in 1887 in poor family in India. He showed his genius in mathematics from early age and mastered trigonometry by age 13.
2) Despite facing difficulties, he continued his studies and even received scholarships. He contacted British mathematicians to share his work and was eventually invited to Cambridge University in 1913 where he spent 5 years collaborating with Hardy and making breakthrough contributions.
3) However, due to illness and lack of nutrition, Ramanujan's health deteriorated and he passed away in 1920 at the young age of 32. He left behind nearly 4000 mathematical theorems, many of which remain unproven. Ramanujan made seminal contributions to
2. INTRODUCTION
● Shraniwas Yanger Ramanujan
● 22 nd Dec 1887 to 26 th April 1920
● Great Indian Mathematician
● Discovered nearly 3,900 Theorems
3. EARLY LIFE
● Father-Clerk Mother-Housewife
● Born into poor brahmin family in Kubakonam
● 1889 - Developed smallpox in but recovered
● 1892 - Enrolled in primary school in
Kumbkonam
● 1897 - Passed primary examination withb best
score in district
● By the age 13 - Mastered in Trigonometry and
developed his theorems
● By the age 14 – Received Merit Certificates and
Awards
4. LIFE TURNING MOMENT
● Key element in aweking his genius
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● Indipendntaly developed and investigated
Bernoulli's no. Aiso Euler's constant upto 15
decimal places
● Awarded the K. Ranganathon Rao prize
mahtematics by headmaster
● Received Scolarship but lossed due to his
divotion to math
5. ATTENTION TOWARDS
MATHEMATICS
● Searhed for job and also taugthed F.A. students
for math
● Met deputy coolector Ramaswami Ayarv
wishing for job
● Aiso met Ramchandra Rao for fianancial
asssistant
● 1 st priobem publihed in journal :
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6. RAMANUJAN'S APPICATION FOR
THE POST OF CLERK
● "Sir,
● I understood there is a clerkship vacant in
your office and I beg to apply for the same. I
have passed the matriculation and studied upto
F.A. but was prevented from persuing my
studies further owing to several circumstances.I
have however devoting all my time to
mathematics and developing the subject. I am
comfident ,I can do justice to my work if Iam
appointed to the post.I therefore beg to request
that you will be good enough to confer the
appointment on me. ”
7. CONTACTING BRITISH
MATHEMATICIANS
● In 1913, Ramanujan contacted british
mathematician M.J. Hill. Hill not accepted his
work
● Then Ramanujan wrote to leading
mathematician in cambridge G.H. Hardy. G.H.
Hardy struck by Ramanujan;s results and
commented
● “Thearoms have completaly dystroyed
me.I have never seen in the least like them
before,Rmanujan's thorem must be true if they
are wrong then no one have imagination li the
world to invent them.”
8. LIFE IN LONDON
● Rechead in London in March 1913
● Began working with Hardy. Hardy alway says
● “He is comparable only with Jacobi or Euler”
● Spent nearly 5 years in Cambridge
● Ramanujan and Hardy was highly contracting
personalities
● In 1916 , Ramanujan awarded B.Sc. Degree by
cambridge for work on highly composite numbers
● In 1917 , Ramanujan get elected to london
mathematical society
● In 1918 , Ramanujan was awarded F.R.S.. 2 nd
Indian
● In 1998 , he aiso awarded fellow of trinity collage ,
9. ILLNESSS AND DEATH
● Dignosed with tuberculosis and vitamin
deficiency
● Climate and weather at cambridge was not
suitable to him
● Also developed Hepatic Amobiasis
10. RAMANUJAN'S NOTEBOOK
● Rananujan recorded his results in 4 notebooks.
The most of his theorem are unproven
● 1 st notebook : 351 pages , 16 organised
chapters
● 2 nd notebook : 256 pages , 21 chapters
● 3 rd notebook : 33 unorganised pages
● 4 th notebook called Ramanujan's lost notebook
contain 87 organised pages
11. MAHTEMATICAL
ACHIEVEMENTS
● Mathematical Analysis
● Infinite Series
● Continued fractions
● Number Theory
● Composite nubers
● Divegent Series
● Fermont Theorem
● Hypogeometric series
● Goklbach conjecture
● Beernoulli's number
● Euler's theorem
● Black hole
19. PERSONALITTY AND
SPIRITUAL LIFE
● Person of somewhat shy
● Dignifide man with pleasant manners
● Not so expressive
● Credited his success to family goddes
'Mahalakshami' . Looked to her for inspiration
in his work . He dreamed of mahalakshami and
get solution to complex mathematical problems
before unfolding his eyes.
● Often said : “An equation for me has no
meaning until it express a thought of God”
