A SHORT BIOGRAPHY OF

RAMANUJAN

MADE BY G.J.GORDE

INTRODUCTION● Shraniwas Yanger Ramanujan● 22 nd Dec 1887 to 26 th April 1920● Great Indian Mathematician● Discovered nearly 3,900 Theorems

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

LIFE TURNING MOMENT● Key element in aweking his genius● ● ● ● ● 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

● Failed aiso in Fello of Art exam and ieft collage without degg

● Get married in 1909● Developed Hydrocele Twstis but have no

money for the same●

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 :● ● ● ● ● ● ● Also published 17 page reasearch on

Bernoulli's number●

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. ”

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.”

● G.H. Hardy invited Ramanujan to Cambridge● Ramaujan's moter resisted ramanujan to go but

later agreed

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 ,

Cambridge. 1 st indian

ILLNESSS AND DEATH● Dignosed with tuberculosis and vitamin

deficiency● Climate and weather at cambridge was not

suitable to him● Also developed Hepatic Amobiasis

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

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

RAMANUJAN'S NUMBER● ● ● ● ● ●

RAMANUJAN'S MAGIC SQUARE

RAMANUJAN'S MAGIC SQAURE

RAMANUJAN'S MAGIC SQUARE

RAMANUJAN'S MAGIC SQUARE

THE MAN WHO NEW INFINITY

THE MAN WHO KNEW INFINITY

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”