# Srinivasa Ramanujan

Srinivasa Ramanujan was a great Indian Mathematician. I shall be taking you through

- Srinivasa Ramanujan biography
- Who is Srinivasa Ramanujan?
- How Srinivasa Ramanujan died?
- What is Srinivasa Ramanujan famous for?
- What did Srinivasa Ramanujan discovered?
- Srinivasa Ramanujan the man who knew infinity?
- What is Srinivasa Ramanujan number?
- What are Srinivasa Ramanujan movie?
- Srinivasa Ramanujan education
- Srinivasa Ramanujan fellowship
- Srinivasa Ramanujan lost notebook
- Srinivasa Ramanujan quotes

## Srinivasa Ramanujan Biography (Milestones)

**Srinivasa Ramanujan Biography **

1887: On December 22, Srinivasa Ramanujan was Born.

1892: On October 1, He was enrolled at the local school.

1897: At Kangayan Primary School Ramanujan, he became the best scores in the district.

1898: Started his formal education at Kumbakonam Town High School.

1898: Started Demonstrating his mathematical knowledge to his college friends who used to stay at his home.

1899: Received academic awards and merit certificates.

1899: Mastered advanced trigonometry was written by** S. L. Loney** and created sophisticated theorems on his own.

1903: He unlocked the book written by George Shoobridge Carr, which is **A Synopsis of Elementary Results in Pure and Applied Mathematics. **

*1904: *Obtained the Scholarship from **Government Arts College, Kumbakonam.**

1904: Conducted his own mathematical research on **Bernoulli numbers** and the **Euler–Mascheroni constant**.

1904: he graduated from Town Higher Secondary School.

1905: During August and September, He stayed Visakhapatnam for about a month.

1906: He Went to Madras to pursue intermediate (higher secondary) to Pachaiyappa’s College in Madras, but he failed in the entrance exam.

1907: He failed in the Fellow of Arts exam, and then he discontinued his college and continued to pursue independent research in mathematics.

1909: Married with Janakiammal.

1910: On April 7, Srinivasa Ramanujan got a chance to meet syndicate of Madras University.

1910: Had an interview with R. Ramachandra Rao, the secretary of the Indian Mathematical Society.

1911: He Submitted 17-page work on Bernoulli in the *Journal
of the Indian Mathematical Society*.

1912–1913, he sent abstracts of his theorems to three academics at the University of Cambridge.

1914: Went to Cambridge.

1916: Got Bachelor of Science degree in Cambridge.

1918: Elected a Fellow of the Royal Society.

1920: On April 26, He Died due to illness, liver infection, and malnutrition.

1991: Biography of Srinivasa Ramanujan, “The Man Who Knew Infinity” movie was released.

1997 *The Ramanujan Journal* was launched “in
the field of mathematics influenced by Ramanujan.”

2011: The government of India recognized his contribution to mathematics.

2003: Dr. APJ Abdul Kalam “dedicated the monument to the nation” to Srinivasa Ramanujan International Monument.

2012: Dr. Manmohan Singh Declared 22 December (Every Year) to be Celebrated as National Mathematics Day under his name.

2012 National Mathematics Year under his name.

2012: Google honored Ramanujan with a doodle on its home page.

## Who is Srinivasa Ramanujan ?

On December 22 December 1887, A great Indian Mathematician named Srinivasa Ramanujan was born in a Tamil family in Erode, Madras Presidency.

## How Srinivasa Ramanujan died ?

On April 26, 1920, One of the Greatest Mathematician Srinivasa Ramanujan Died due to illness, liver infection, and malnutrition.

## Srinivasa Ramanujan Education

Srinivasa Ramanujan’s education started at the age of 10.

Though he was good at maths, he was not good at other subjects because of which there were a lot of downfalls in his educational life.

On October 1, 1892, He was enrolled at the local school. After his grandfather’s death, he changed his school. As he didn’t like school, he used to avoid going to school. He started fleeing the school.

At the age of 10 years, in November 1897, At Kangayan Primary School, he passed his primary examinations in Tamil, English, geography, and arithmetic, and he topped in the district.

Srinivasa Ramanujan’s education started in Town Higher
Secondary School at a very young age. During Srinivasa Ramanujan’s education,
he has received academic awards and merit certificates like **K. Ranganatha
Rao **prize for mathematics by the school’s headmaster.

In the year 1904*, *He Obtained the Scholarship
from **Government Arts College, Kumbakonam**. But as he was so much focused
on his mathematics and research works that he couldn’t concentrate on other
subjects and started losing his scholarship.

In the year 1906, He enrolled in Pachaiyappa’s College in Madras. There he passed in mathematics, but he couldn’t perform well in subjects such as English, Sanskrit, and Physiology because of which he failed in the entrance exam.

He failed in the Fellow of Arts exam in the year 1907, and then he discontinued his college and continued to pursue independent research in mathematics.

## Srinivasa Ramanujan Contribution Towards Mathematics

1. He was an autodidact in the field of mathematics. With the knowledge he has gained, he was able to make extraordinary contributions in the field of mathematics, which includes mathematical analysis, infinite series, number theory, and continued fractions.

2. In the era of the 1880s and 1900s, where there was no access to higher access to the mathematical community, Srinivasa Ramanujan worked hard days and nights researching and developing their own mathematical theories.

These theories changed the phase of the world. His research has been appreciated by a few British Mathematicians like G. H Hardy Carl Friedrich Gauss and Leonhard Euler.

3. He mastered books written by S. L. Loney on advanced trigonometry by the age of 12.

4. He got special honor as he showed his exceptional mathematical skills at school at a very young age.

5. He conducted his own mathematical research on the Euler–Mascheroni constant and on Bernoulli numbers at the age of 17.

6. Srinivasa Ramanujan number became very famous

From the childhood days itself, he was deeply involved in maths.

When he was in school, At Kangayan Primary School Ramanujan, he became the best score in the district because of his excellent performance in maths. He used to showcase his mathematical expertise to his college friends, who used to stay at his home.

He received academic awards and merit certificates at his school, and to 35 teachers, he assisted the logistics of assigning its 1,200 students in the school.

In 1899, He Mastered advanced trigonometry written by S. L. Loney and created sophisticated theorems on his own.

He used to complete his mathematical exams in half the allotted time; He used to have particular interest in infinite series and geometry.

In 1902 He learned to solve cubic equations; At a very young age, he developed his own method to solve the quartic functions.

In 1903 He unlocked the book written by George
Shoobridge Carr, which is *A Synopsis of Elementary Results in Pure and
Applied Mathematics. *

Srinivasa Ramanujan’s life changed in the year 1910 when Ramanujan met deputy collector V. Ramaswamy Aiyer, founder of the Indian Mathematical Society. He met him, Wishing for a job at the revenue department. Ramanujan showed him his mathematical works to V. Ramaswamy.

Aiyer sent his works to mathematician friends in Madras. They sent his works to R. Ramachandra Rao, the secretary of the Indian Mathematical Society. Rao was impressed by Ramanujan’s research.

R. Ramachandra Rao gave him a chance. Ramanujan discussed hypergeometric series, elliptic integrals, and his theory of divergent series, which Rao was convinced that he was extraordinary in the field of Maths.

Srinivasa Ramanujan continued to work and do his research with R. Ramachandra Rao’s financial aid.

## What is Srinivasa Ramanujan famous for?

Ramanujan published his work in the Journal of the Indian Mathematical Society.

He published this question in three editions of the journal and waited for someone to answer, but as no one could answer that he reveled the answer by formulating the equation on his first notebook in Page Number 105.

In his notebook on 17-page, Ramanujan gave three proofs, three conjectures, and two corollaries. For “Some Properties of Bernoulli’s Numbers” (1911).

He became a Fellow of Cambridge Fellow of the Royal Society as he was amazing in Mathematics.

Ramanujan independently compiled nearly 3900 results in a short time.

## Hardy–Ramanujan number or Srinivasa Ramanujan Number

1729 is calledHardy–Ramanujan number or Srinivasa Ramanujan Number. It was a taxicab number and this number became famous and is now known as the Ramanujan’s number. When British mathematician G. H. Hardy visited India to meet Srinivasa Ramanujan in hospital. They had a conversation :

G H Hardy said once when he was going to Putney. he took a taxi whose number was 1729 and said that this number was very dull and boring. On that Mathematical Genius, Srinivasa Ramanujan said. “No, it is a very interesting number; it is the smallest number which is the sum of two cubes in two different ways.”

The two different ways are:

1729 = 13 + 123 = 93 + 103

He has sone tremendous contributions in the world of mathematics.

## What did Srinivasa Ramanujan discovered?

Srinivasa Ramanujan Discovered a few of the Remarkable works in the field of Mathematics.

Few of the Srinivasa Ramanujan Discoveries includes

- Srinivasa Ramanujan Infinity
- Srinivasa Ramanujan Magic Square
- Srinivasa Ramanujan Magic Number
- Ramanujan’s Formula for Pi
- Brocard–Ramanujan Diophantine equation
- Ramanujan–Sato series
- Dougall–Ramanujan identity
- Ramanujan’s congruences
- Ramanujan number
- Landau–Ramanujan constant
- Ramanujan–Nagell equation
- Ramanujan–Soldner constant
- Ramanujan graph
- Ramanujan’s tau function
- Ramanujan summation
- Ramanujan–Peterssen conjecture
- Ramanujan theta function
- Ramanujan’s ternary quadratic form
- Ramanujan’s constant
- Rogers–Ramanujan identities
- Ramanujan’s lost notebook
- Ramanujan prime
- Ramanujan’s master theorem
- Ramanujan’s sum
- Ramanujan magic square

## Honoring

Srinivasa Ramanujan Contribution Towards Mathematics

· In December 2012, the Government of India declared

that Ramanujan’s birthday should be celebrated National Mathematics Day in

recognition of his contribution to mathematics, Government also proclaimed 2012

as the National Mathematics Year.

· On 22 March 1988, A documentary film has been

released named “The Man Who Loved Numbers,” showing goodwill towards

Srinivasa Ramanujan.

· The exclusive economic zone was established under the

name of Srinivasa Ramanujan in Chennai in 2011.

· The **Ramanujan Math Park** is an Indian museum

and activity center meant for mathematics education. This Ramanujan Math Park

is in the Agastya Campus Creativity Lab, which is located in Kuppam, in the

Chittoor District of Andhra Pradesh.

· A university named Ramanujan College has been

established the University of Delhi under the name of Srinivasa Ramanujan.

· A Department of Mathematics was named underSrinivasa

Ramanujan, Ramanujan Institute for Advanced Study in Mathematics (RIASM) at the

University of Madras.

· Anengineering college was named as Srinivasa

Ramanujan Institute Of Technology (SRIT) in Rotarypuram in Anantapur District

in Andhra Pradesh, India.

· An Indian organization named Ramanujan Mathematical

Society was started with the aim of “promoting mathematics at all

levels.” This Society was started in 1985 in Tiruchirappalli, Tamil Nadu,

India.

· Srinivasa Ramanujan Centre was started to encourage

mathematics at Sastra University.

· A CBSE School named Srinivasa Ramanujan Concept

School was established in Hanamkonda in the Warangal District of Telangana,

India.

· A statue of Ramanujan has been established in the

garden of the Birla Industrial & Technological Museum in Kolkata, India.

· The 2012 Indian stamp featured Ramanujan honoring Srinivasa

Ramanujan.

· The International Centre for Theoretical Physics

(ICTP) is rewarding awards in the name of Srinivasa Ramanujan for young

mathematicians from developing countries.

· A university Tamil Nadu Named SASTRA University,

influenced by Ramanujan, has started the SASTRA Ramanujan Prize of US$10,000 to

be given yearly to a mathematician are not more than 32 years for outstanding

contributions in the field of mathematics.

· In 2003, Dr. APJ Abdul Kalam “dedicated the

monument to the nation” to Srinivasa Ramanujan International Monument.

· Under the name of Indian mathematician Srinivasa

Ramanujan, **Srinivasa Ramanujan Medal **is awarded by the Indian National

Science Academy to those who do exceptional work in the field of mathematical

sciences.

· Many Srinivasa Ramanujan movies, documentaries have

been released many plays were done,novels and Journals have been written

honoring the contribution of Srinivasa Ramanujan in the field of Mathematics.

## Srinivasa

Ramanujan Fellowship

Science & Engineering Research Board is inviting candidates for the ‘Ramanujan Fellowships’ which was started by the Government of India. Srinivasa Ramanujan fellowship is for distinguished mathematicians, and engineers and scientists from around the globe to take up scientific research positions in India.

Srinivasa Ramanujan fellowship is very selective and it is scientist -specific. The Ramanujan Fellows can be conducted in any scientific institution or university in India.

**Srinivasa Ramanujan Fellowship Eligibility**

Any brilliant Mathematician or Scientist or Engineer

who is below the age of 55 years around the globe is eligible for Srinivasa

Ramanujan fellowship.

ii) The Mathematician or Scientist or Engineer should

hold a higher degree or equivalent and should have enough professional

experience.

iii)Srinivasa Ramanujan fellowship is very selective

and only those who have done outstanding work in their field are eligible.

**Srinivasa Ramanujan Fellowship Duration**

Srinivasa Ramanujan fellowship will be for exactly five

years.

**Support to those who avail Srinivasa Ramanujan fellowship **

Those who avail Srinivasa Ramanujan fellowship will get

Rs.85,000/- per month. Each Mathematician or Scientist or Engineer who is doing

Srinivasa Ramanujan fellowship will receive a research stipend of Rs.7.00 lakh

per annum and other expenses.

## List

of Srinivasa Ramanujan Books and Journal

**The Indian Clerk**

David Leavitt, a novelist, has written a novel named

The Indian Clerk. This novel tells about the letters which Ramanujan has sent

to Hardy.

**The Steradian Trail **

M. N. Krish has written a thriller novel named The

Steradian Trail, which related the life of Ramanujan.

This story says how a person accidentally discovers its

plot connecting mathematics, religion, economics, and finance.

In this story, Srinivasa Ramanujan suddenly discovers a

solution after a long time. This solution would give immense wealth, and will

also put his life in danger because there are people who are ready to kill

people for this solution.

**Collected Papers of Srinivasa Ramanujan**

Hardcover, 426 pages

Published November 1st, 2006

Thirty-seven published papers and 58 solutions of problems

that are submitted to the Journal of the Indian Mathematical Society have been

written in this book.

**Ramanujan: Letters and Commentary**

Unknown Binding, 347 pages

Published January 1st, 1995

This book has letters two of the most famous

mathematics ie, between Srinivasa Ramanujan and G. H. Hardy. On January 16 and

February 27, 1913, Ramanujan wrote letters to G. H. Hardy. These letters are

taken from the Archives in the State of Tamil Nadu, National Archives in Delhi,

and other sources.

**The Lost Notebook and Other Unpublished Papers of Srinivasa Ramanujan**

Hardcover, 476 pages

Published January 1st, 2008

Lost Notebook of Srinivasa Ramanujan has been

highlighted in 1976. This book has a collection of unpublished manuscripts.

This book can be divided into four parts.

A significant part is 90 unpaginated sheets of work on

“q”-series.

One hundred eighty pages of Lost Notebook consist of

unpublished manuscripts of Ramanujan, and out of 108 pages, 28 pages are taken

from the ‘Loose Papers held in the Trinity College Library.

The Last part contains interesting letters that

Srinivasa Ramanujan has written to Mathematicians like G H Hardy, Littlewood,

and Watson.

This part shows a few of Srinivasa Ramanujan’s work and

other’s contributions.

**Ramanujan’s Notebooks: Part I**

Hardcover, 357 pages

Published March 12th, 1985.

Srinivasa Ramanujan has written so many notebooks. This

book has Chapters 1 to 9 of Book II; In this book refers to proof that is

provided or each theorem has been proved.

**Ramanujan’s Notebooks: Part III**

Hardcover, 510 pages

Published January 9th, 1997

After Ramanujan’s death, G. H. Hardy insisted that

Ramanujan’s notebooks need to be edited and should be published.

Tata Institute of Fundamental Research in Bombay, In

1957, published Srinivasa Ramanujan’s notebooks without editing.

In 1977, Berndit started editing Ramanujan’s notebooks.

He started providing the proofs which were not yet proved. He stated providing

the proofs that were already given with better explanation.

This book is the revised version of all his works.

**Ramanujan: Essays and Surveys**

Hardcover, 347 pages

Published April 1st, 2007

This book is a reprinted edition of earlier works. This

book is a biography of Srinivasa Ramanujan Indian Mathematician.

This book covers about Srinivasa Ramanujan’s life, his

wife S. Janaki, E. H. Neville, S. Narayana Iyer, Ramanujan’s manuscripts and

notebooks, his illness, his work.

**Ramanujan’s Notebooks: Part II**

Hardcover, 360 pages

Published January 18th, 1999

Ramanujan wrote many of his mathematical findings in his notebooks without giving proof. G.N. Watson and B.M. Wilson, after Ramanujan’s death in 1920, began to edit his notebooks but couldn’t complete this work.

Tata Institute of Fundamental Research published A photostat edition of this book without editing in Bombay in 1957.

This book is the second of five volumes of the

Notebooks written by Ramanujan. This volume consists of Chapters 10-15.

**Ramanujan’s Notebooks: Part V**

Hardcover, 624 pages

Published December 12th, 1997

The fifth and final volume of Srinivasa Ramanujan in

his “Notebooks” contains many profound results in mathematics. This

book mainly consists of chapters on continued fractions.

Srinivasa Ramanujan that these books should be the

backbone for the other mathematicians.

**Ramanujan’s Notebooks: Part IV**

Hardcover, 451 pages

Published December 17th, 1993

This book contains Chapters 1-21 from Ramanujan

Notebooks.

**Ramanujan Revisited: Proceedings of the Centenary Conference, **

December 17th, 1993

**The University of Illinois at Urbana-Champaign, June 1-5, 1987**

June 1st, 1988 Hardcover, 609 pages

**Notebooks of Srinivasa Ramanujan: Volume II **

July 1st, 1985 Hardcover, 392 pages

**Hardy–Ramanujan Journal**

A mathematics journal named The ** Hardy–Ramanujan** covers topics like Diophantine equations, prime numbers, and

Journal

transcendental numbers. It is named under two great British and Indian

mathematicians G. H. Hardy and Srinivasa Ramanujan.

This journal was first released in 1978 by K.

Ramachandra and R. Balasubramanian and is published on Ramanujan’s birthday

December 22.

This journal also describes about Srinivasa Ramanujan

Number about the taxi Incident.

**Journal of the Ramanujan Mathematical Society**

Ramanujan Mathematical Society (RMS) first released the

Journal of the Ramanujan Mathematical Society (JRMS) in 1986. Director of the

Ramanujan Institute for Advanced Study in Mathematics, K.S. Padmanabhan, came

up with this idea. This journal shows the high quality of works done in the

field of mathematics.

**Ramanujan Journal**

** The Ramanujan Journal** is a mathematical

and scientific journal covering all sectors of mathematics. This journal was

first released in 1997 by Springer Science and Business Media.

## Srinivasa

Ramanujan’s lost notebook

Srinivasa Ramanujan has written volumes of works in his

notebook, which is commonly known as the Lost Notebooks. He has written five

volumes of the books where he has solved many mathematical theories and

formulas. It has a collection of unpublished manuscripts.

After the death of Srinivasa Ramanujan, G H Hardy

insisted on editing and publishing these works of his. So to value his words,

these works have been published by Tata Institute of Fundamental Research, but

they were not edited.

Later on, these books have been edited by other

mathematicians like Berndit n 1977, and these books were republished.

## Srinivasa

Ramanujan Movie and Documentaries

## The

Genius of Srinivasa Ramanujan

58min 14 March 2013 (India)

“The Genius of Srinivasa Ramanujan” is based

on one of the greatest Indian mathematicians, Srinivasa Ramanujan movie. A.

Raghuram and Ken Ono had played a significant role in that. Shots of Srinivasa

Ramanujan movie were taken from various locations in Chennai, Kumbakonam,

Namakkal, Erode, and Cambridge.

## Ancient

Aliens: Ramanujan the Divine Mathematician (Season 11, Episode 5) | History

Dec 21, 2018

Ancient Aliens is a TV Series. In this Series in one of

the Seasons (Session 11 and in Episode 5), The Story of Srinivasa Ramanujan has

been told. This episode, the life story of Great Indian Mathematician,

Srinivasa Ramanujan, was shown. His Theories and Mathematical Formulas have

been used in many places.

## Srinivasa

Ramanujan: The Man Who Knew Infinity

29 April 2016

This story is about Indian Mathematician Srinivasa

Ramanujan who was a born Genius in Maths. This story shows how a man who was

born in a low-income family in Madras became one of the greatest mathematicians

in the world.

This story shows how he struggles in this early stage

of his life and couldn’t have a proper education and finally got a chance to go

to Trinity College at Cambridge, where his life changed completely.

Srinivasa Ramanujan movie would inspire many people who

would love to become mathematicians

## The

Man Who Loved Numbers

On 22 March 1988

“The Man Who Loved Numbers,” was released by

the PBS Series Nova about the great Indian Mathematician Srinivasa Ramanujan

movie.

This documentary movie shows the life of a poor clerk

who became of the greatest mathematician in the world.

## A

Disappearing Number

A British Film Production company got inspired by the

works done by the two great mathematicians of the world, namely Srinivasa

Ramanujan and GH Hardy, who worked together.

This documentary movie shows how these mathematicians

worked together and made a significant impact in the field of mathematics.

## Ramanujan

2014

Indo-British collaboration film company known as

Camphor Cinema released a documentary movie based on the life of Srinivasa

Ramanujan named Ramanujan. English and Indian stars Suhasini Maniratnam, Bhama,

Abhinay Vaddi, Kevin McGowan, and Michael Lieber, played a significant role in

this.

## Partition

2013

A role play was played on the life of Srinivasa Ramanujan and GH Hardy and their contributions made in the field of mathematics. The collaboration of Srinivasa Ramanujan and G H Hardy is the world’s most successful and famous collaboration, and their collaboration is famous throughout the world.

## First

Class Man

the 5th of October to the 21st of October, 2006 at the 45th Street theater.

First Class Man play Alter Ego Productions released

that.

A First Class Man is the story of **Srinivasa
Ramanujan, who is** passionate about producing complex mathematical theorems

and equations.

Cambridge don and British mathematician **GH Hardy**

identifies Ramanujan’s talent and invites him to Cambridge.

A First Class Man is a role-play between the highly

educated person Cambridge educated don Mr. GH Hardy and the person who didn’t

have any formal education from India who was passionate towards worked

together. This play shows their contribution to the world of mathematics.

## Good Will Hunting

1997

Srinivasa Ramanujan has been mention in a scene where professor (Stellan Skarsgård) Gerald Lambeau explains to one of his students (Robin Williams) Sean Maguire compares Ramanujan the genius with Will Hunting (Matt Damon).

## Words

from People about Srinivasa Ramanujan

Ramanujan’s wife: Janakiammal (Janaki)

“I considered it my good fortune to give him rice,

lemon juice, buttermilk, etc., at regular intervals and to give fomentation to

his legs and chest when he reported pain. The two vessels used then for

preparing hot water are alone still with me; these remind me often of those

days. “

Ramachandra Rao was a founder member of the Indian Mathematical Society who had helped start the mathematics library say:

“*A short uncouth figure, stout, unshaven, not over clean, with one conspicuous feature-shining eyes- walked in with a frayed notebook under his arm. He was miserably poor. … *

*He opened his book and began to explain some of his discoveries. I saw quite at once that there was something out of the way, but my knowledge did not permit me to judge whether he talked sense or nonsense. … I asked him what he wanted. He said he wanted a pittance to live on so that he might pursue his researches.”*

The Presidency College in Madras. Middlemast, a

graduate of St John’s College, Cambridge, wrote:-

*I can strongly recommend the applicant. He is a
young man of a quite exceptional capacity in mathematics and especially in work
relating to numbers. He has a natural aptitude for computation and is very
quick at figure work.*

## Srinivasa

Ramanujan Quotes

Few of the Srinivasa Ramanujan Quotes are

An equation means nothing to me unless it expresses a thought of God.

While asleep, I had an unusual experience. There was a red screen formed by flowing blood, as it were. I was observing it. Suddenly a hand began to write on the screen. I became all attention. That hand wrote a number of elliptic integrals. They stuck to my mind. As soon as I woke up, I committed them to writing.

To preserve my brains I want food and this is now my first consideration. Any sympathetic letter from you will be helpful to me here to get a scholarship.