## Essay on Srinivasa Ramanujan

500 words essay on srinivasa ramanujan.

Srinivasa Ramanujan is one of the world’s greatest mathematicians of all time. Furthermore, this man, from a poor Indian family, rose to prominence in the field of mathematics. This essay on Srinivasa Ramanujan will throw more light on the life of this great personality.

Essay On Srinivasa Ramanujan

## Early Life of Srinivasa Ramanujan

Ramanujan was born in Erode on December 22, 1887, in his grandmother’s house. Furthermore, he went to primary school in Kumbakonamwas when he was five years old. Moreover, he would attend several different primary schools before his entry took place to the Town High School in Kumbakonam in January 1898.

At the Town High School, Ramanujan proved himself as a talented student and did well in all of his school subjects. In 1900, he became involved with mathematics and began summing geometric and arithmetic series on his own.

In the Town High School, Ramanujan began reading a mathematics book called ‘Synopsis of Elementary Results in Pure Mathematics’. Furthermore, this book was by G. S. Carr.

With the help of this book, Ramanujan began to teach himself mathematics . Furthermore, the book contained theorems, formulas and short proofs. It also contained an index to papers on pure mathematics.

## His Contribution to Mathematics

By 1904, Ramanujan’s focus was on deep research. Moreover, an investigation took place by him of the series (1/n). Moreover, calculation took place by him of Euler’s constant to 15 decimal places. This was entirely his own independent discovery.

Ramanujan gained a scholarship because of his outstanding performance in his studies. Consequently, he was a brilliant student at Kumbakonam’s Government College. Moreover, his fascination and passion for mathematics kept on growing.

In the spring of 1913, there was the presentation of Ramanujan’s work to British mathematicians by Narayana Iyer, Ramachandra Rao and E. W. Middlemast. Afterwards, M.J.M Hill did not made an offer to take Ramanujan on as a student, rather, he provided professional advice to him. With the help of friends, Ramanujan sent letters to leading mathematicians at Cambridge University and was ultimately selected.

Ramanujan spent a significant time period of five years at Cambridge. At Cambridge, collaboration took place of Ramanujan with Hardy and Littlewood. Most noteworthy, the publishing of his findings took place there.

Ramanujan received the honour of a Bachelor of Arts by Research degree in March 1916. This honour was due to his work on highly composite numbers, sections of the first part whose publishing had taken place the preceding year. Moreover, the paper’s size was more than fifty pages long.

Get the huge list of more than 500 Essay Topics and Ideas

## Conclusion of the Essay on Srinivasa Ramanujan

Srinivasa Ramanujan is a man whose contributions to the field of mathematics are unmatchable. Furthermore, experts in mathematics worldwide all recognize his tremendous worth. Most noteworthy, Srinivasa Ramanujan made his country proud at a time when India was still under British occupation.

## FAQs For Essay on Srinivasa Ramanujan

Question 1: What is Srinivasa Ramanujan famous for?

Answer 1: Srinivas Ramanujan is famous for his discoveries that have influenced several areas of mathematics. Furthermore, he is famous for his contributions to number theory and infinite series. Moreover, he came up with fascinating formulas that facilitate in the calculation of the digits of pi in unusual ways.

Question 2: What is the special quality of number 1729 discovered by Srinivasa Ramanujan?

Answer 2: Srinivas Ramanujan discovered that the number 1729 had a special characteristic. Furthermore, this quality is that the number 1729 is the only number whose expression can take place as the sum of the cubes of two different sets of numbers. Consequently, people call 1729 the magic number.

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## Essay on Srinivasa Ramanujan in English - 100, 200, 500 Words

Srinivasa Ramanujan was the greatest mathematician of all time. He is still remembered for his contributions to the field of mathematics. Theorems formulated by him are to date studied by students across the world and within very few years of his lifespan, he made some exceptional discoveries in mathematics. Here are a few sample essays on Srinivasa Ramanujan.

## 100 Words Essay on Srinivasa Ramanujan

Srinivasa Ramanujan was a renowned mathematician of India. He was born on 22 December 1887 in Madras during the British Raj. Since childhood, he was drawn towards maths and took a particular interest in learning the subject. He did not receive formal education in mathematics but had mastered maths in various sections. During his time in Cambridge, he grew close to the great mathematician named Hardy. Together they invented the Hardy-Ramanujan number 1729. He got married at the age of 22 to Janakiammal on 14th July 1904. Several books were written by him based on his theories and formulas. He even received the K. Ranganatha Rao prize for mathematics. On 26 April 1920, he departed at the age of 32.

## 200 Words Essay on Srinivasa Ramanujan

Srinivasa Ramanujan was a well-known Indian Mathematician who was born on 22 December 1887 during British rule. He was born in a poor Indian village, Erode, belonging to a Tamil family. His father’s name was Kuppuswamy Srinivas Aiyangar who worked as a clerk in a saree shop, and his mother was a religious housewife. They lived in Erode only for a year and then moved to Kumbakonam.

In this small town, Ramanujan attended many primary schools and achieved a distinction in his primary education. At the age of thirteen, he focused his attention on the sum of geometric and arithmetic series and in 1902, he created a method to solve quadratic equations and even explored Euler’s Constant. In the same year, he received a scholarship for his outstanding performance in his studies, and therefore he got admission at Kumbakonam’s Government college.

His passion for mathematics grew more robust, and hence he excelled in maths but failed in other subjects. The failure caused him depression, and he fled to Visakhapatnam without telling his parents. One year later, he returned to study and passed the First Art’s examination but again failed in all and passed in maths.

He published his first paper based on Bernoulli numbers in the Journal of the Indian Mathematical Society and received recognition and achievement. His hard work paid off, and he was appointed as a clerk at Madras Port Trust. At this time, he became famous throughout Madras and caught the attention of C.L.T Griffith who helped Ramanujan. Later, Ramanujan graduated from London and held a degree of Science for research on highly composite numbers.

## 500 Words Essay on Srinivasa Ramanujan

Ramanujan is referred to as an Indian Mathematician who lived during the British period and who contributed substantially to mathematics analysis, number theory, infinite series and continued fractions. He has been described by many as a simple person with pleasant manners.

He was well versed with the Brahmin culture and followed particular eating habits. Just before turning 10 years old, he passed his primary education in English, Tamil, geography and arithmetic. His scores were the best in the district. In the same year, he encountered formal mathematics for the first time.

At the age of sixteen, he acquired a library copy of ‘A Synopsis of Elementary Results in Pure and Applied Mathematics’ from a friend. He studied the contents of the book thoroughly. The next year, he developed and investigated the Bernoulli numbers and calculated Euler’s constant up to 15 decimals. His peers could hardly understand his nature, and were always in awe because of his brilliance. Due to his extraordinary mind, he received a scholarship to study at Government Arts College, Kumbakonam. But he lost this scholarship because of his firm determination towards studying only maths and ignoring other subjects.

Later, too he failed in subjects like English, Sanskrit and physiology. In 1906, he flunked his Fellow of Arts exam in December. Without a FA degree, he left college and decided to study independently in mathematics through research and referring books. Such a condition caused him extreme poverty, and he reached the brink of starvation.

Ramanujan met deputy collector V. Ramaswamy Aiyer in 1910, who was the founder of the Mathematical society and wished to work in the revenue department. When Ramanujan showed his mathematics book to him, he stated that he was struck by the extraordinary mathematical results contained in Ramanujan’s books. As he advanced further in maths, he even wrote his formal paper on the properties of Bernoulli numbers.

A journal editor M.T. Narayana Iyengar noted that Ramanujan’s methods and presentation was terse and lacked precision and clearness. An ordinary person could hardly follow him. In England, he was awarded a Bachelor of Arts by Research degree. He was also elected to the London Mathematical Society. Ramanujan was the first Indian to be elected a Fellow of Trinity College, Cambridge.

## Achievements of Srinivasa Ramanujan

At the age of 12, he had completely read Loney’s book on Plane Trigonometry and A Synopsis of Elementary Results in Pure and Applied Mathematics, which were way beyond the standard of a high school student

In 1916, he was granted a Bachelor of Science degree “by research” at the Cambridge University

In 1918, he became the first Indian to be honoured as a Fellow of the Royal Society

In 1997, The Ramanujan Journal was launched to publish work “in areas of mathematics influenced by Ramanujan”

The year 2012 was declared as the National Mathematical Year as it marked the 125th birth year of one of the greatest Indian mathematicians

Since 2021, his birth anniversary, December 22, is observed as the National Mathematicians Day every year in India.

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## Essay on Srinivasa Ramanujan in 100 and 500 Words for School Students

- Updated on
- Dec 21, 2023

Dr. S Ramanujan is recognized as one of the greatest Mathematicians in the world, owing to his contributions to this academic field. His most commendable works include “The Journal of the Indian Mathematical Society” and “Ramanujan Summation” method. Also, his becoming a member of the “London Mathematical Society in Britain” is an achievement to be proud of. Acknowledging his dedication to the field of mathematics, in 2012, Dr. Manmohan Singh declared 22 December as “ National Mathematics Day ”. To learn more about this Math genius, let us explore the Essay on Srinivasa Ramanujan in 150 and 500 words.

Also Read: 20 Most Famous Indian Mathematicians

## Essay on Srinivasa Ramanujan in 150 words

Here is an Essay on Srinivasa Ramanujan in 150 words:

Also Read: Famous Mathematicians of All Times

## Essay on Srinivasa Ramanujan in 500 words

Now, let us go through an Essay on Srinivasa Ramanujan in 500 words:

Also Read: Ramanujan Fellowship

Ans: National Mathematics Day is celebrated on 22 December each year as it is the birth date of Dr S Ramanujan.

Ans: “The Journal of the Indian Mathematical Society” was Ramanujan’s first published paper.

Ans: Dr Srinivasa Ramanujan lost his life to TB on 26 April 1920.

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## Ankita Singh

Ankita is a history enthusiast with a few years of experience in academic writing. Her love for literature and history helps her curate engaging and informative content for education blog. When not writing, she finds peace in analysing historical and political anectodes.

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## Essay on Srinivasa Ramanujan for Students | 500+ Words Essay

December 10, 2020 by Sandeep

Essay on Srinivasa Ramanujan: Srinivasa Ramanujan was a renowned mathematician of India. He was born on 22nd December 1887 in Madras during the British Raj. Since childhood, he was drawn towards maths and took a particular interest in learning the subject. He did not receive formal education in mathematics but had mastered maths in various sections. During his time in Cambridge, he grew close to the great mathematician named Hardy. Together they invented the Hardy-Ramanujan number 1729. He got married at the age of 22 to Janakiammal on 14th July 1904. Several books were written by him based on his theories and formulas. He even received the K. Ranganatha Rao prize for mathematics. On 26th April 1920, he departed at the age of 32.

Below we have provided an essay on Srinivasa Ramanujan in English, written in easy and simple words for class 4, 5, 6, 7, 8, 9 and 10 school students.

## Essay on Srinivasa Ramanujan 500 Words in English

Below we have provided extended essay on Srinivasa Ramanujan, suitable for classes 7, 8, 9 and 10 students.

Ramanujan was the maths genius who said that “An equation for me has no meaning unless it expresses a thought of God.” He always had a vision of scrolls of complicated maths unfolding before him. He is referred to as an Indian Mathematician who lived during the British period and who contributed substantially to mathematics analysis, number theory, infinite series and continued fractions. He has been described by many as a simple person with pleasant manners.

Ramanujan was born on 22nd December 1887 into a Tamil Brahmin family in Erode, Madras. His father, Kuppuswamy Srinivasa Iyengar hailed from Thanjavur district and worked as a clerk in a saree shop. His mother, Komalatammal, was a housewife and used to sing at a local temple. They lived in a small traditional home. When Ramanujan was only a year and a half old, his mother was blessed with a son named Sadagopan but unfortunately died less than three months later.

In 1889, Ramanujan contracted smallpox but recovered, unlike many others who faced the death. Then, in 1891 and 1894, his mother again gave birth to two more children, but both of them died before their first birthdays. Since his father was at work most of the day, his mother took care of him, and their bond grew stronger. From his mother he learnt about the tradition and Puranas, to sing religious songs and to attend puja at a temple.

He became well versed with the Brahmin culture and followed particular eating habits. Just before turning ten, he passed his primary education in English, Tamil, geography and arithmetic. His scores were the best in the district. In the same year, he encountered formal mathematics for the first time. At the age of sixteen, he acquired a library copy of A Synopsis of Elementary Results in Pure and Applied Mathematics from a friend.

He studied the contents of the book thoroughly. The next year, he developed and investigated the Bernoulli numbers and calculate Euler’s constant up to 15 decimals. His peers could hardly understand his nature, and we’re always in awe because of his brilliance. Due to his extraordinary mind, he received a scholarship to study at Government Arts College, Kumbakonam. But he lost this scholarship because of his firm determination towards studying only maths and ignoring other subjects.

Later, too he failed in subjects like English, Sanskrit and physiology. In 1906, he flunked in his Fellow of Arts exam in December. Without a FA degree, he left college and decided to study independently in mathematics through research and referring books. Such a condition caused him extreme poverty, and he reached on the brink of starvation. He married Janakiammal on 14th July 1909 and took a job as a tutor at Presidency College.

Ramanujan met deputy collector V. Ramaswamy Aiyer in 1910, who was the founder of Mathematical society and wished to work in the revenue department. When Ramanujan showed his mathematics book to him, he stated that- “I was struck by the extraordinary mathematical results contained in Ramanujan’s books.” As he advanced further in maths, he even wrote his formal paper on the properties of Bernoulli numbers.

A journal editor M.T. Narayana Iyengar noted that Mr Ramanujan’s methods and presentation was terse and lacked precision and clearness. An ordinary person could hardly follow him. In England, he was awarded a Bachelor of Arts by Research degree. He was also elected to the London Mathematical Society. Ramanujan was the first Indian to be elected a Fellow of Trinity College, Cambridge.

In 1994, he died due to Tuberculosis and left the world. In the words of Hardy, Ramanujan had produced groundbreaking theorems and defeated him many times. He had never seen such theories in his life before. In his obituary, it was written that his insight into the subject was terrific and what he did was outstanding and remarkable.

The government of India in 2011, declared his birthday as National Mathematics Day to commemorate his valuable contribution and efforts. The former President even proclaimed that 2012 would be celebrated as National Mathematics Year.

Also Read – Republic Day Speech 2022 in English

## Short Essay on Srinivasa Ramanujan in 250 Words

Below we have provided a short essay on Srinivasa Ramanujan, suitable for class 3, 4, 5 & 6 students.

Srinivasa Ramanujan was a well-known Indian Mathematician who was born on 22nd December 1887 during the British rule. He was born in a poor Indian village, Erode belonging to a Tamil family. His father’s name was Kuppuswamy Srinivas Aiyangar who worked as a clerk in a saree shop, and his mother was a religious housewife. They lived in Erode only for a year and then moved to Kumbakonam.

In this small town, Ramanujan attended many primary schools and achieved a distinction in his primary education. At the age of thirteen, he focused his attention on the sum of geometric an arithmetic series and in 1902, he created a method to solve quadratic equations and even explored Euler’s Constant. In the same year, he received a scholarship for his outstanding performance in his studies, and therefore he got admission at Kumbakonam’s Government college.

His passion for mathematics grew more robust, and hence he excelled in maths but failed in other subjects. The failure caused him depression, and he fled to Vizagapatnam without telling his parents. One year later, he returned to study and pass at First Art’s examination but again failed in all and passed in maths. Ramanujan got married to his old distant relative Janaki Ammal.

Furthermore, he published his first paper based on Bernoulli numbers in Journal of the Indian Mathematical Society and received recognition and achievement. His hard work got paid off, and he was appointed as a clerk at Madras Port Trust. At this time, he became famous throughout Madras and caught the attention of C.L.T Griffith who helped Ramanujan. Later, Ramanujan graduated from London and held a degree of Science for research on highly composite numbers.

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## Essay on Srinivasa Ramanujan: A Mathematical Prodigy 1000, 600, 500 words

Essay on srinivasa ramanujan 1000 words:.

Introduction: Srinivasa Ramanujan, born on December 22, 1887, in Erode, India, was a self-taught mathematical genius who made significant contributions to the field of mathematics. His life and work continue to inspire and mystify mathematicians around the world.

## Early Life and Education:

Ramanujan’s early life was marked by an innate fascination with numbers. Despite facing financial constraints, he pursued a degree at the Government Arts College in Kumbakonam. His lack of formal training in advanced mathematics did not deter him from exploring and delving into the depths of number theory.

## The Genius Unveiled:

Ramanujan’s breakthrough came when he independently discovered and formulated a multitude of theorems, often without detailed proofs. His notebooks, containing a treasure trove of mathematical insights, fascinated renowned mathematicians like G.H. Hardy, who recognized the extraordinary talent hidden within the unassuming Indian clerk.

## Collaboration with G.H. Hardy:

The collaboration between Ramanujan and G.H. Hardy, a leading British mathematician, marked a turning point in Ramanujan’s career. Their exchange of ideas and the subsequent publication of joint papers catapulted Ramanujan into international recognition.

## Contributions to Number Theory:

Ramanujan’s contributions to number theory were revolutionary. His work on partitions, mock theta functions and modular forms laid the foundation for advancements in mathematics that followed. His “Lost Notebook,” discovered years after his death, contained further groundbreaking results.

## Challenges and Recognition:

Despite his mathematical prowess, Ramanujan faced challenges, including health issues and adapting to the academic environment in Cambridge. However, his brilliance was widely acknowledged and he became the first Indian to be elected a Fellow of the Royal Society.

## Legacy and Influence:

Srinivasa Ramanujan’s legacy extends beyond his mathematical achievements. His life story and contributions continue to inspire mathematicians and students worldwide. Numerous awards and institutions are dedicated to preserving and advancing his mathematical legacy.

## Ramanujan’s Mathematical Style:

Ramanujan’s unique mathematical style often involved intuitive leaps and profound insights. His ability to formulate conjectures without rigorous proofs puzzled and fascinated his contemporaries. Mathematicians continue to study and decipher his methods, revealing the depth of his mathematical intuition.

## Influence on Modern Mathematics:

Ramanujan’s work has had a lasting impact on various branches of mathematics. His discoveries in areas such as infinite series, hypergeometric series and elliptic functions have found applications in diverse fields, including physics, computer science and cryptography.

## Mock Theta Functions and Beyond:

Ramanujan’s exploration of mock theta functions, a class of functions with deep connections to modular forms, showcased his ability to uncover mathematical structures previously unknown. These functions have become instrumental in understanding modular forms and their role in modern mathematical research.

## The Ramanujan Conjecture:

Among his numerous conjectures, the Ramanujan conjecture stands out. It relates to the properties of the tau function and has connections to the theory of modular forms. While some of his conjectures were proven after his death, others remain unsolved, challenging mathematicians to this day.

## Personal and Cultural Impact:

Ramanujan’s life was deeply intertwined with his cultural roots. His contributions to mathematics came from a place of profound curiosity and reverence for numbers deeply ingrained in Indian culture. His legacy serves as a bridge between the rich mathematical heritage of India and the global mathematical community.

## Recognition Posthumously:

Tragically, Ramanujan’s life was cut short when he passed away on April 26, 1920, at the age of 32. However, his work continued to gain recognition posthumously. Mathematicians and institutions worldwide celebrate Ramanujan’s birthday, December 22, as National Mathematics Day in India, honoring his extraordinary contributions.

## Inspiration for Creativity:

Beyond the realm of mathematics, Ramanujan’s story serves as an inspiration for creativity and perseverance. His ability to overcome personal and professional challenges, coupled with his unwavering passion for numbers, continues to motivate individuals pursuing diverse fields of study.

## Conclusion – A Mathematical Enigma:

Srinivasa Ramanujan remains an enigma in the world of mathematics—a self-taught genius whose contributions transcend borders and time. The beauty and elegance of his mathematical discoveries, coupled with the intriguing story of his life, ensure that Ramanujan’s legacy endures as a beacon of inspiration for generations to come.

Conclusion: Srinivasa Ramanujan’s life exemplifies the transformative power of passion and innate talent. His journey from a small town in India to the halls of Cambridge University remains a testament to the boundless possibilities that arise when brilliance meets dedication. The mathematical community cherishes Ramanujan’s legacy, ensuring that his contributions to the realm of numbers endure through generations.

## Essay on Srinivasa Ramanujan 600 words:

Srinivasa ramanujan’s early life and education.

Srinivasa Ramanujan was born on December 22, 1887, in Erode, Tamil Nadu, India. From a young age, his mathematical prowess was evident, but financial constraints hindered his formal education. Despite facing numerous challenges, Ramanujan independently explored mathematical concepts, delving into advanced topics without formal training.

## Self-Taught Genius: Ramanujan’s Mathematical Contributions

Ramanujan’s remarkable ability to intuitively grasp mathematical truths led to a plethora of groundbreaking discoveries. His notebooks, filled with theorems, formulas and conjectures, laid the foundation for significant advancements in number theory, infinite series, and modular forms. Among his notable contributions are the Ramanujan-Hardy number, the partition function and his work on elliptic functions.

## Collaboration with G.H. Hardy: A Transcendent Partnership

Ramanujan’s collaboration with British mathematician G.H. Hardy proved pivotal in bringing his work to the global stage. The duo’s partnership led to numerous joint publications, including the famous “Hardy-Ramanujan asymptotic formula” for the partition function. Despite their different approaches to mathematics, Hardy recognized Ramanujan’s genius and helped him navigate the academic world.

## Struggles in England: Cultural and Health Challenges

Ramanujan faced cultural and health challenges during his time in England, where he went to work at Cambridge University. The unfamiliar environment and dietary changes took a toll on his health. Despite these difficulties, Ramanujan continued to produce groundbreaking work, earning the admiration of his peers.

## Legacy and Recognition: Posthumous Honors

Tragically, Ramanujan’s life was cut short at the age of 32 due to illness. However, his legacy endured through the profound impact of his mathematical contributions. The Indian government declared his birthday, December 22, as National Mathematics Day in his honor. In 2012, he was posthumously awarded the prestigious Fields Medal, recognizing his exceptional achievements in mathematics.

## The Ramanujan Conjecture: Unanswered Questions

Even decades after his death, Ramanujan’s work continues to inspire mathematicians worldwide. The Ramanujan Conjecture, a set of unsolved mathematical questions proposed by him, remains an area of active research. Mathematicians strive to unravel the mysteries embedded in his conjectures, highlighting the enduring impact of Ramanujan’s intellect.

## Conclusion: Ramanujan’s Enduring Impact

Srinivasa Ramanujan’s journey from self-taught prodigy to mathematical luminary is a testament to the power of innate talent and perseverance. His contributions have left an indelible mark on the field of mathematics, influencing generations of mathematicians. Ramanujan’s story serves as an inspiration, emphasizing the importance of recognizing and nurturing exceptional talent, regardless of background or formal education.

## Essay on Srinivasa Ramanujan 500 words:

Srinivasa Ramanujan, born on December 22, 1887, in Erode, India, emerged as one of the most enigmatic and brilliant mathematicians of the 20th century. Despite lacking formal training, Ramanujan made significant contributions to various mathematical fields, leaving an indelible mark on number theory, infinite series and modular forms.

Ramanujan’s early life was marked by an innate passion for mathematics. With minimal formal education, he independently discovered and developed his unique mathematical ideas. In 1913, his breakthrough came when he began corresponding with G. H. Hardy, a distinguished mathematician at the University of Cambridge. Recognizing Ramanujan’s exceptional talent, Hardy invited him to England, where their collaboration flourished.

One of Ramanujan’s most remarkable achievements was his work on modular forms and mock theta functions. His findings in this area laid the foundation for advancements in elliptic functions and opened new doors in the study of mathematical symmetries. Moreover, his work on partitions, where he developed groundbreaking formulas, significantly impacted number theory.

Ramanujan’s fascination with infinite series led him to derive rapidly converging expansions for mathematical constants, such as pi. His discoveries in this realm not only fascinated mathematicians but also played a crucial role in advancing the understanding of transcendental numbers.

Despite his unparalleled contributions, Ramanujan’s life was tragically short. He faced health challenges throughout his time in England, succumbing to illness at the age of 32 in 1920. His untimely death left the mathematical community in mourning, wondering what further marvels he might have uncovered had he lived longer.

Ramanujan’s legacy endures through the extensive body of work he left behind. Mathematicians continue to study and build upon his theorems and conjectures, unraveling the depths of his genius. The Ramanujan-Hardy number (1729), famously known as the “taxicab number,” immortalizes a casual incident where Hardy visited Ramanujan in a taxi numbered 1729. This anecdote symbolizes the unexpected beauty and significance that can emerge from seemingly ordinary encounters.

In conclusion, Srinivasa Ramanujan stands as a testament to the power of innate talent and unbridled passion for mathematics. His journey from self-taught prodigy to international acclaim highlights the transcendence of barriers in the pursuit of knowledge. Ramanujan’s contributions continue to inspire generations of mathematicians, reminding us that brilliance can emerge from the most unexpected corners of the world.

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## Srinivasa Ramanujan

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Srinivasa Ramanujan (1887-1920) was an Indian mathematician who made great and original contributions to many mathematical fields, including complex analysis , number theory , infinite series , and continued fractions . He was "discovered" by G. H. Hardy and J. E. Littlewood, two world-class mathematicians at Cambridge, and enjoyed an extremely fruitful period of collaboration with them from 1914 to 1919. Unfortunately, his mathematical career was curtailed by health problems; he returned to India and died when he was only 32 years old.

Hardy, who was a great mathematician in his own right, recognized Ramanujan's genius from a series of letters that Ramanujan sent to mathematicians at Cambridge in 1913. Like much of his writing, the letters contained a dizzying array of unique and difficult results, stated without much explanation or proof. The contrast between Hardy, who was above all concerned with mathematical rigor and purity, and Ramanujan, whose writing was difficult to read and peppered with mistakes but bespoke an almost supernatural insight, produced a rich partnership.

Since his death, Ramanujan's writings (many contained in his famous notebooks) have been studied extensively. Some of his conjectures and assertions have led to the creation of new fields of study. Some of his formulas are believed to be true but as yet unproven.

There are many existing biographies of Ramanujan. The Man Who Knew Infinity , by Robert Kanigel, is an accessible and well-researched historical account of his life. The rest of this wiki will give a brief and light summary of the mathematical life of Ramanujan. As an appetizer, here is an anecdote from Kanigel's book.

In 1914, Ramanujan's friend P. C. Mahalanobis gave him a problem he had read in the English magazine Strand . The problem was to determine the number \( x \) of a particular house on a street where the houses were numbered \( 1,2,3,\ldots,n \). The house with number \( x \) had the property that the sum of the house numbers to the left of it equaled the sum of the house numbers to the right of it. The problem specified that \( 50 < n < 500 \).

Ramanujan quickly dictated a continued fraction for Mahalanobis to write down. The numerators and denominators of the convergents to that continued fraction gave all solutions \( (n,x) \) to the problem \((\)not just the particular one where \( 50 < n < 500). \) Mahalanobis was astonished, and asked Ramanujan how he had found the solution.

Ramanujan responded, "...It was clear that the solution should obviously be a continued fraction; I then thought, which continued fraction? And the answer came to my mind."

This is not the most illuminating answer! If we cannot duplicate the genius of Ramanujan, let us at least find the solution to the original problem. What is \( x \)?

\(\) Bonus: Which continued fraction did Ramanujan give Mahalanobis?

## This anecdote and problem is taken from The Man Who Knew Infinity , a biography of Ramanujan by Robert Kanigel.

Taxicab numbers, nested radicals and continued fractions, ramanujan primes, ramanujan sums, the ramanujan \( \tau \) function and ramanujan's conjecture.

Many of Ramanujan's mathematical formulas are difficult to understand, let alone prove. For instance, an identity such as

\[\frac1{\pi} = \frac{2\sqrt{2}}{9801}\sum_{k=0}^{\infty} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}\]

is not particularly easy to get a handle on. Perhaps this is why the most famous mathematical fact about Ramanujan is trivial and uninteresting, compared to the many brilliant theorems he proved.

The story goes that Hardy was visiting Ramanujan in the hospital, and remarked offhandedly that the taxi he had taken had a "dull number," 1729. Instantly Ramanujan replied, "No, it is a very interesting number! It is the smallest positive integer expressible as the sum of two positive cubes in two different ways."

That is, \( 1729 = 1^3+12^3 = 9^3+10^3 \).

Hardy and Wright proved in 1938 that for every \( n \), there is a positive integer \( \text{Ta}(n) \) that is expressible as the sum of two positive cubes in \( n \) different ways. So \( \text{Ta}(2) = 1729 \). \((\)The value of \( \text{Ta}(2) \) had been known since the \(17^\text{th}\) century, which is in some sense characteristic of Ramanujan as well: as he was largely self-taught, he was often rediscovering theorems that were already well-known at the same time as he was constructing entirely new ones.\()\) The numbers \( \text{Ta}(n) \) are called taxicab numbers in honor of Hardy and Ramanujan.

Ramanujan developed several formulas that allowed him to evaluate nested radicals such as \[ 3 = \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{\cdots}}}}. \] This is a special case of a result from his notebooks, which is proved in the wiki on nested functions .

He also contributed greatly to the theory of continued fractions . One of the identities in his letter to Hardy was \[ 1+\frac{e^{-2\pi}}{1+\frac{e^{-4\pi}}{1+\frac{e^{-6\pi}}{\cdots}}} = \left( \sqrt{\frac{5+\sqrt{5}}2} - \frac{1+\sqrt{5}}2 \right)e^{2\pi/5}. \] This and several others along these lines were among the results that convinced Hardy that Ramanujan was a brilliant mathematician. This result is in fact a special case of the Rogers-Ramanujan continued fraction , which is of the form \[ R(q) = \frac{q^{1/5}}{1+\frac{q}{1+\frac{q^2}{1+\frac{q^3}{\cdots}}}} \] and is related to the theory of modular forms, a deep branch of modern number theory.

Ramanujan's work with modular forms produced the following celebrated divisibility results involving the partition function \( p(n) \): \[ \begin{align} p(5k+4) &\equiv 0 \pmod 5 \\ p(7k+5) &\equiv 0 \pmod 7 \\ p(11k+6) &\equiv 0 \pmod{11}. \end{align} \] Ramanujan commented in the paper in which he proved these results that there did not appear to be any other simple results of the same type. But in fact there are similar congruences of the form \( p(ak+b) \equiv 0 \pmod n \) for any \( n \) relatively prime to \( 6\); this is due to Ken Ono (2000). (Even for small \( n\), the values of \( a \) and \( b \) in the congruences are quite large.) The topic remains the subject of much contemporary research.

Ramanujan proved a generalization of Bertrand's postulate , as follows: Let \( \pi(x) \) be the number of positive prime numbers \( \le x \); then for every positive integer \( n \), there exists a prime number \( R_n \) such that \[ \pi(x)-\pi(x/2) \ge n \text{ for all } x \ge R_n. \] \((\)The case \( n = 1 \), \( R_n = 2 \) is Bertrand's postulate.\()\)

The \( R_n \) are called Ramanujan primes .

The sum \( c_q(n) \) of the \(n^\text{th}\) powers of the primitive \( q^\text{th}\) roots of unity is called a Ramanujan sum . It can be shown that these are multiplicative arithmetic functions , and in fact that \[c_q(n) = \frac{\mu\left(\frac qd\right)\phi(q)}{\phi\left(\frac qd\right)},\] where \( d = \text{gcd}(q,n)\), and \( \mu \) and \( \phi \) are the Mobius function and Euler's totient function , respectively.

Let \(c_{2015}(n)\) be the sum of the \(n^\text{th}\) powers of all the primitive \(2015^\text{th}\) roots of unity, \(\omega.\) Find the minimal value of \(c_{2015}(n)\) for all positive integers \(n\).

This year's problem

Ramanujan found nice infinite sums of the form \( \sum a_n c_q(n) \) or \( \sum a_q c_q(n) \) representing the standard arithmetic functions that are important in number theory. For instance, \[ d(n) = -\frac1{2\gamma+\ln(n)} \sum_{q=1}^{\infty} \frac{\ln(q)^2}{q} c_q(n), \] where \( \gamma \) is the Euler-Mascheroni constant .

Another example: the identity \[ \sum_{q=1}^{\infty} \frac{c_q(n)}{q} = 0 \] turns out to be equivalent to the prime number theorem .

Sums involving \( c_q(n) \) are known as Ramanujan sums ; these were also used in applications including the proof of Vinogradov's theorem that every sufficiently large odd positive integer is the sum of three primes.

Ramanujan's \( \tau \) function is defined by the formula \[ \sum_{n=1}^{\infty} \tau(n) q^n = q\prod_{n=1}^{\infty} (1-q^n)^{24} \] and is related to the theory of modular forms.

Ramanujan conjectured several properties of the \( \tau \) function, including \[ |\tau(p)| \le 2p^{11/2} \text{ for all primes } p. \] This turned out to be an extremely important and deep result, which was proved in 1974 by Pierre Deligne in his Fields-medal-winning proofs of the Weil conjectures on points on algebraic varieties over finite fields.

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## Srinivasa Ramanujan

(1887-1920)

## Who Was Srinivasa Ramanujan?

After demonstrating an intuitive grasp of mathematics at a young age, Srinivasa Ramanujan began to develop his own theories and in 1911, he published his first paper in India. Two years later Ramanujan began a correspondence with British mathematician G. H. Hardy that resulted in a five-year-long mentorship for Ramanujan at Cambridge, where he published numerous papers on his work and received a B.S. for research. His early work focused on infinite series and integrals, which extended into the remainder of his career. After contracting tuberculosis, Ramanujan returned to India, where he died in 1920 at 32 years of age.

Srinivasa Ramanujan was born on December 22, 1887, in Erode, India, a small village in the southern part of the country. Shortly after this birth, his family moved to Kumbakonam, where his father worked as a clerk in a cloth shop. Ramanujan attended the local grammar school and high school and early on demonstrated an affinity for mathematics.

When he was 15, he obtained an out-of-date book called A Synopsis of Elementary Results in Pure and Applied Mathematics , Ramanujan set about feverishly and obsessively studying its thousands of theorems before moving on to formulate many of his own. At the end of high school, the strength of his schoolwork was such that he obtained a scholarship to the Government College in Kumbakonam.

## A Blessing and a Curse

However, Ramanujan’s greatest asset proved also to be his Achilles heel. He lost his scholarship to both the Government College and later at the University of Madras because his devotion to math caused him to let his other courses fall by the wayside. With little in the way of prospects, in 1909 he sought government unemployment benefits.

Yet despite these setbacks, Ramanujan continued to make strides in his mathematical work, and in 1911, published a 17-page paper on Bernoulli numbers in the Journal of the Indian Mathematical Society . Seeking the help of members of the society, in 1912 Ramanujan was able to secure a low-level post as a shipping clerk with the Madras Port Trust, where he was able to make a living while building a reputation for himself as a gifted mathematician.

Around this time, Ramanujan had become aware of the work of British mathematician G. H. Hardy — who himself had been something of a young genius — with whom he began a correspondence in 1913 and shared some of his work. After initially thinking his letters a hoax, Hardy became convinced of Ramanujan’s brilliance and was able to secure him both a research scholarship at the University of Madras as well as a grant from Cambridge.

The following year, Hardy convinced Ramanujan to come study with him at Cambridge. During their subsequent five-year mentorship, Hardy provided the formal framework in which Ramanujan’s innate grasp of numbers could thrive, with Ramanujan publishing upwards of 20 papers on his own and more in collaboration with Hardy. Ramanujan was awarded a bachelor of science degree for research from Cambridge in 1916 and became a member of the Royal Society of London in 1918.

## Doing the Math

"[Ramanujan] made many momentous contributions to mathematics especially number theory," states George E. Andrews, an Evan Pugh Professor of Mathematics at Pennsylvania State University. "Much of his work was done jointly with his benefactor and mentor, G. H. Hardy. Together they began the powerful "circle method" to provide an exact formula for p(n), the number of integer partitions of n. (e.g. p(5)=7 where the seven partitions are 5, 4+1, 3+2, 3+1+1, 2+2+1, 2+1+1+1, 1+1+1+1+1). The circle method has played a major role in subsequent developments in analytic number theory. Ramanujan also discovered and proved that 5 always divides p(5n+4), 7 always divides p(7n+5) and 11 always divides p(11n+6). This discovery led to extensive advances in the theory of modular forms."

But years of hard work, a growing sense of isolation and exposure to the cold, wet English climate soon took their toll on Ramanujan and in 1917 he contracted tuberculosis. After a brief period of recovery, his health worsened and in 1919 he returned to India.

## The Man Who Knew Infinity

Ramanujan died of his illness on April 26, 1920, at the age of 32. Even on his deathbed, he had been consumed by math, writing down a group of theorems that he said had come to him in a dream. These and many of his earlier theorems are so complex that the full scope of Ramanujan’s legacy has yet to be completely revealed and his work remains the focus of much mathematical research. His collected papers were published by Cambridge University Press in 1927.

Of Ramanujan's published papers — 37 in total — Berndt reveals that "a huge portion of his work was left behind in three notebooks and a 'lost' notebook. These notebooks contain approximately 4,000 claims, all without proofs. Most of these claims have now been proved, and like his published work, continue to inspire modern-day mathematics."

A biography of Ramanujan titled The Man Who Knew Infinity was published in 1991, and a movie of the same name starring Dev Patel as Ramanujan and Jeremy Irons as Hardy, premiered in September 2015 at the Toronto Film Festival.

## QUICK FACTS

- Name: Srinivasa Ramanujan
- Birth Year: 1887
- Birth date: December 22, 1887
- Birth City: Erode
- Birth Country: India
- Gender: Male
- Best Known For: Srinivasa Ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. The importance of his research continues to be studied and inspires mathematicians today.
- Education and Academia
- Astrological Sign: Sagittarius
- University of Madras
- Cambridge University
- Nacionalities
- Death Year: 1920
- Death date: April 26, 1920
- Death City: Kumbakonam
- Death Country: India

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## CITATION INFORMATION

- Article Title: Srinivasa Ramanujan Biography
- Author: Biography.com Editors
- Website Name: The Biography.com website
- Url: https://www.biography.com/scientists/srinivasa-ramanujan
- Access Date:
- Publisher: A&E; Television Networks
- Last Updated: September 10, 2019
- Original Published Date: September 10, 2015

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## Short Essay: Srinivasa Ramanujan

A couple of short essay examples about Srinivasa Ramanujan.

Table of Contents

## Srinivasa Ramanujan Essay Example 1

Srinivasa Ramanujan is a name that echoes in the halls of mathematics. He was an Indian mathematician who made significant contributions to the field of mathematics. His work on number theory, infinite series, and continued fractions was particularly noteworthy. Despite facing numerous obstacles, Ramanujan’s brilliance was recognized by mathematicians in Europe, and he eventually became a Fellow of the Royal Society. In this essay, we will delve deeper into the life and work of Srinivasa Ramanujan.

Srinivasa Ramanujan was born on December 22, 1887, in Erode, a small town in the state of Tamil Nadu, India. From a young age, he exhibited an extraordinary talent for mathematics. He had an innate ability to solve complex equations and problems that were beyond the reach of his peers. However, his formal education was limited, and he was forced to drop out of school due to financial difficulties. Despite this setback, Ramanujan continued to explore mathematics on his own and worked tirelessly to develop his skills.

One of Ramanujan’s most significant contributions to mathematics was his work on number theory. He developed a new theory of partitions that allowed mathematicians to solve problems related to the distribution of integers. His work on the partition function has since become an essential tool in many areas of mathematics. Ramanujan also made significant contributions to the theory of modular forms, elliptic functions, and continued fractions. His work on the Riemann hypothesis, a problem that has eluded mathematicians for over a century, is still being studied today.

Despite his remarkable achievements, Ramanujan faced many challenges during his lifetime. He struggled to gain recognition for his work, and his lack of formal education made it difficult for him to communicate his ideas to other mathematicians. However, his persistence and determination eventually paid off, and his work was recognized by mathematicians in Europe.

In 1913, Ramanujan wrote a letter to the famous British mathematician G.H. Hardy, in which he described some of his work on number theory. Hardy was so impressed by Ramanujan’s work that he invited him to England to work with him at Cambridge University. Ramanujan accepted the invitation, and he spent the next few years in England, where he made significant contributions to the field of mathematics.

Ramanujan’s brilliance was finally recognized by the mathematical community, and he was elected a Fellow of the Royal Society in 1918. This was a significant achievement for an Indian mathematician at the time, and it helped to pave the way for other mathematicians from India and other countries to gain recognition in the field of mathematics.

Sadly, Ramanujan’s life was cut short when he died of tuberculosis at the young age of 32. However, his legacy lives on, and his work continues to be studied and admired by mathematicians around the world. Ramanujan’s story is a testament to the power of human perseverance and the importance of recognizing and nurturing talent, no matter how unconventional it may be.

In conclusion, Srinivasa Ramanujan was a remarkable mathematician who overcame numerous obstacles to make significant contributions to the field of mathematics. His work on number theory, infinite series, and continued fractions remains an essential part of modern mathematics. Despite facing many challenges during his lifetime, Ramanujan’s brilliance was eventually recognized, and he became a Fellow of the Royal Society. His legacy continues to inspire mathematicians around the world, and his story serves as a reminder that talent can come from anywhere and that it is essential to nurture and support it.

## Srinivasa Ramanujan Essay Example 2

Srinivasa Ramanujan was a self-taught Indian mathematician who made significant contributions to the field of mathematics. Despite facing significant challenges in his life, including poverty and illness, Ramanujan’s contributions to mathematics have had a lasting impact on the field. In this essay, I will discuss Ramanujan’s life, his work in number theory, infinite series, and continued fractions, and the lasting impact he has had on mathematics.

Srinivasa Ramanujan was born on December 22, 1887, in Erode, a small village in Tamil Nadu, India. He was a self-taught mathematician who had a natural talent for numbers. At the age of 16, Ramanujan discovered a book on advanced trigonometry, and he started working on solving problems in the book. By the age of 18, he had developed his own theorems and formulas. In 1911, Ramanujan sent a letter to the famous British mathematician G. H. Hardy, who recognized his genius and invited him to study at the University of Cambridge.

Ramanujan’s work focused on number theory, infinite series, and continued fractions. He developed many new theorems and formulas, including the Ramanujan prime, Ramanujan theta function, and Ramanujan’s sum. His work on the partition function, which counts the number of ways a number can be expressed as a sum of integers, has had a significant impact on computer science and cryptography. Ramanujan’s work also had a profound influence on the development of modern mathematics, including the study of modular forms and the Langlands program.

Despite facing significant challenges in his life, including poverty and illness, Ramanujan’s contributions to mathematics have had a lasting impact on the field. He died at the age of 32, but his legacy continues to inspire mathematicians around the world. In recognition of his contributions to mathematics, the Indian government declared December 22, Ramanujan’s birthday, as National Mathematics Day in 2012. The Ramanujan Prize, awarded annually by the International Centre for Theoretical Physics in Trieste, Italy, is named in his honor, and the Ramanujan Institute for Advanced Study in Mathematics at the University of Madras is dedicated to his memory.

In conclusion, Srinivasa Ramanujan was a self-taught Indian mathematician who made significant contributions to the field of mathematics. His work focused on number theory, infinite series, and continued fractions, and he developed many new theorems and formulas. Despite facing significant challenges in his life, including poverty and illness, Ramanujan’s contributions to mathematics have had a lasting impact on the field. His legacy continues to inspire mathematicians around the world, and his work remains an important part of modern mathematics.

## Srinivasa Ramanujan Essay Example 3

Srinivasa Ramanujan was a self-taught mathematician from India who made significant contributions to Number Theory. His life and work have been an inspiration to mathematicians around the world. Despite facing many obstacles, he was able to establish himself as one of the greatest mathematicians of all time. In this essay, we will explore the life and work of Srinivasa Ramanujan, and how his contributions have had a lasting impact on the field of mathematics.

Srinivasa Ramanujan was born in Erode, a small town in the state of Tamil Nadu, India, in 1887. From a young age, he showed a keen interest in mathematics and was able to teach himself the subject by reading books and working on problems. He was largely self-taught and did not have any formal education in mathematics. Despite this, he was able to make significant contributions to Number Theory, which is the study of the properties of numbers and their relationships.

Ramanujan’s early work focused on the theory of partitions, which is the study of the ways in which a number can be expressed as a sum of other numbers. He was able to develop a number of new results in this area and published his first paper on the subject in 1916. This paper attracted the attention of mathematicians in Europe, who were impressed by the depth and originality of his work.

Despite the initial interest in his work, Ramanujan faced significant challenges in getting his ideas accepted by the mathematical community. Many of his theories were dismissed as being too abstract or lacking in rigor. In order to prove the validity of his ideas, Ramanujan had to work tirelessly, often spending long hours alone in his room working on proofs.

One of the most significant breakthroughs in Ramanujan’s career came when he was able to prove the validity of his theory on the partition function. This theory had been the subject of much debate among mathematicians, but Ramanujan was able to provide a new and elegant proof that convinced many of its validity. This proof established him as one of the leading mathematicians of his time, and his work continued to inspire others for years to come.

Ramanujan’s legacy continues to inspire mathematicians around the world. His contributions to Number Theory have had a lasting impact on the field, and many of his ideas continue to be studied and developed by mathematicians today. In addition to his work in mathematics, Ramanujan was also known for his deep spirituality and his belief in the mystical nature of numbers. This combination of mathematical genius and spiritual insight has made him a unique figure in the history of mathematics.

In conclusion, Srinivasa Ramanujan was a self-taught mathematician from India who made significant contributions to Number Theory. Despite facing many obstacles, he was able to establish himself as one of the greatest mathematicians of all time. His work was initially dismissed by Western mathematicians until he was able to prove the validity of his theories. Ramanujan’s legacy continues to inspire mathematicians around the world, and his contributions to the field have had a lasting impact.

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Read this Essay on Srinivasa Ramanujan (1887 A.D. – 1920 A.D.) !

One of the greatest mathematicians of India, Ramanujan’s contribution to the theory of numbers has been profound. He was indeed a mathematical phenomenon of the twentieth century. This legendary genius of India ranks among the all time greats like Euler and Jacobi.

Ramanujan lived just for 32 years but during this short span he produced such theorems and formulae which even today remain unfathomable in the present age of super computers. He left behind him about 4000 formulae and theorems.

It is believed that these were the beginning of some great theory that he had at conceptual stage which failed to develop because of his premature and untimely demise. His personal life was as mysterious as his theorems and formulae.

It is believed that he was a great devotee of the Hindu goddess of creativity and that the goddess used to visit him in dreams and she wrote equations on his tongue. Ramanujan was the first Indian to be elected to the Royal Society of London.

Ramanujan was born to poor parents on December 22, 1887 at Erode in Tamil Nadu. His father was employed as a clerk in a cloth merchant’s shop. However, his mother had a sharp intellect and was known for making astrological predictions.

Not much is known about his early life and schooling except that he was a solitary child by nature. It is believed that he was born as a result of ardent prayers to the goddess Namgiri. Later Ramanujan attributed his mathematical power to this goddess of creation and wisdom. For him nothing was useful unless it expressed the essence of spirituality.

Ramanujan found mathematics as a profound manifestation of the Reality. He was such a great mathematician and genius as transcends all thoughts and imagination. He was an expert in the interpretation of dreams and astrology. These qualities he had inherited from his mother.

His interest and devotion to mathematics was to the point of obsession. He ignored everything else and would play with numbers day and night on a slate and in his mind. One day he came to possess G.S Carr’s “Synopsis of Pure Mathematics”, which contained over 6,000 formulae in Algebra, Trigonometry and Calculus but contained no proofs.

Ramanujan made it his constant companion and improved it further on his own. His obsession and preoccupation with mathematics did not allow him to pass his intermediate examination in spite of three attempts. He could not get even the minimum pass marks in other subjects.

Ramanujan was married to a nine year old girl called lauaki and it added more to his family responsibilities. With the recommendation of the Collector of Nellore, who was very much impressed by his mathematical genius, Ramanujan sound a clerk’s job at Madras Fort Trust. In 1913 he came across an article written by Professor Hardy.

Ramanujan stayed at Cambridge for four years and during this period he produced many papers of great mathematical significance in collaboration with his mentor Professor Hardy. His phenomenal and exceptional genius was recognized all over the academic world.

He was elected Fellow of the Royal Society, London in 1918. He was then 30 years of age. His mastery of certain areas of mathematics was really fantastic and unbelievable. But soon his hard work began to affect his health and he fell seriously ill in April, 1917.

Ramanujan had contracted tuberculosis. And it was decided to send him back to India for some time. He reached India on March 27, 1919. He breathed his last on April 26, 1920 at Kumbakonam at the age of 32 years. His death shocked Professor Hardy and others beyond words.

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## Srinivasa Ramanujan (1887-1920)

One of the greatest mathematicians of all time, Srinivasa Ramanujan was born in 1887 in the Southern part of India. He is still remembered for his contributions to the field of mathematics. Theorems formulated by him are to date studied by students across the world and within very few years of his lifespan, he made some exceptional discoveries in mathematics.

His biography and achievements prove a lot about him and his struggles to contribute to the field of this subject. All this is also an essential part of the syllabus for aspirants preparing for the upcoming IAS Exam .

The facts, achievements and contributions presented by Srinivasa Ramanujan have not just been acknowledged within India, but also globally by leading mathematicians. Aspirants can also learn about other Indian mathematicians and their contributions , by visiting the linked article.

Srinivasa Ramanujan Biography [UPSC Notes]:- Download PDF Here

## Indian Mathematician S. Ramanujan – Biography

Born in 1887, Ramanujan’s life, as said by Sri Aurobindo, was a “rags to mathematical riches” life story. His geniuses of the 20th century are still giving shape to 21st-century mathematics.

Discussed below is the history, achievements, contributions, etc. of Ramanujan’s life journey.

Birth –

- Srinivasa Ramanujan was born on 22nd December 1887 in the south Indian town of Tamil Nad, named Erode.
- His father, Kuppuswamy Srinivasa Iyengar worked as a clerk in a saree shop and his mother, Komalatamma was a housewife.
- Since a very early age, he had a keen interest in mathematics and had already become a child prodigy

Srinivasa Ramanujan Education –

- He attained his early education and schooling from Madras , where he was enrolled in a local school
- His love for mathematics had grown at a very young age and was mostly self-taught
- He was a promising student and had won many academic prizes in high school
- But his love for mathematics proved to be a disadvantage when he reached college. As he continued to excel in only one subject and kept failing in all others . This resulted in him dropping out of college
- However, he continued to work on his collection of mathematical theorems, ideologies and concepts until he got his final breakthrough

Final Break Through –

- S. Ramanujam did not keep all his discoveries to himself but continued to send his works to International mathematicians
- In 1912, he was appointed at the position of clerk in the Madras Post Trust Office, where the manager, S.N. Aiyar encouraged him to reach out to G.H. Hardy, a famous mathematician at the Cambridge University
- In 1913, he had sent the famous letter to Hardy, in which he had attached 120 theorems as a sample of his work
- Hardy along with another mathematician at Cambridge, J.E.Littlewood analysed his work and concluded it to be a work of true genius
- It was after this that his journey and recognition as one of the greatest mathematicians had started

Death –

- In 1919, Ramanujan’s health had started to deteriorate, after which he decided to move back to India
- After his return in 1920, his health further worsened and he died at the age of just 32 years

The life of such great Indians and their contribution in various fields is an important part of the UPSC Syllabus . Candidates preparing for the upcoming civil services exam must analyse this information carefully.

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## Srinivasa Ramanujan Contributions

- Between 1914 and 1914, while Ramanujan was in England, he along with Hardy published over a dozen research papers
- During the time period of three years, he had published around 30 research papers
- Hardy and Ramanujan had developed a new method, now called the circle method , to derive an asymptomatic formula for this function
- His first paper published, a 17-page work on Bernoulli numbers that appeared in 1911 in the Journal of the Indian Mathematical Society
- One remarkable result of the Hardy-Ramanujan collaboration was a formula for the number p(n) of partitions of a number ‘n’

## Achievements of Srinivasa Ramanujan

- At the age of 12, he had completely read Loney’s book on Plane Trignimetry and A Synopsis of Elementary Results in Pure and Applied Mathematics , which were way beyond the standard of a high school student
- In 1916 , he was granted a Bachelor of Science degree “by research” at the Cambridge University
- In 1918 , he became the first Indian to be honoured as a Fellow of the Royal Society
- In 1997, The Ramanujan Journal was launched to publish work “in areas of mathematics influenced by Ramanujan”
- The year 2012 was declared as the National Mathematical Year as it marked the 125th birth year of one of the greatest Indian mathematicians
- Since 2021, his birth anniversary, December 22, is observed as the National Mathematicians Day every year in India

The intention behind encouraging the significance of mathematics was mainly to boost youngsters who are the future of the country and influence them to have a keen interest in analysing the scope of this subject.

Also, aspirants appearing in the civil services exam can choose mathematics as an optional and the success stories of IAS Toppers from the past have shown the scope of this subject.

To get details of UPSC 2024 , candidates can visit the linked article.

For any further information about the upcoming civil services examination , study material, preparation tips and strategy, candidates can visit the linked article.

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## Srinivasa Ramanujan | Short Note/Speech

Srinivasa Ramanujan was an Indian mathematician who made significant contributions to the fields of mathematics and number theory. He was born in 1887 in the town of Erode, in the Madras Presidency of British India, and showed an early aptitude for math. Despite having no formal training in mathematics beyond high school, Ramanujan developed his skills through self-study and made several groundbreaking discoveries that earned him recognition in the international mathematical community.

Ramanujan is best known for his work on infinite series, modular forms, and number theory. He made numerous contributions to the development of these fields, including the discovery of new mathematical theorems and identities. His work has had a lasting impact on mathematics and has been widely studied and applied in various fields.

Despite his many accomplishments, Ramanujan faced numerous challenges in his career. He struggled to find academic opportunities and recognition in India, and ultimately had to rely on support from others to pursue his studies. Despite these obstacles, Ramanujan remained dedicated to his work and continued to make significant contributions to mathematics until his untimely death at the age of 32. Today, he is remembered as a pioneer and an inspiration to mathematicians around the world.

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## Srinivasa Ramanujan Essay In 500 Words

Srinivasa Ramanujan Essay In 500 Words: Srinivasa Ramanujan was a famed Indian mathematician who made significant benefactions to the field of mathematics during the early 20th century. His extraordinary gift and brilliance in mathematics, combined with his humble background, continue to inspire and awe mathematicians around the world.

Table of Contents

In this blog Srinivasa Ramanujan Essay In 500 Words, we include About Srinivasa Ramanujan Essay In 500 Words, in 100, 200, 250, and 300 words. Also cover Srinivasa Ramanujan Essay In 500 Words for classes 1, 2, 3, 4, 5, 6, 7, 8, 9, and up to the 12th class and also for kids, children, and students. You can read more Essay Writing in 10 lines about sports, events, occasions, festivals, etc… Srinivasa Ramanujan Essay In 500 Words is also available in different languages. In this, Srinivasa Ramanujan Essay In 500 Words, the following features are explained in the given manner.

## Early Life And Education

Born on December 22, 1887, in Erode, Tamil Nadu, Ramanujan showed an early inclination and love for figures. still, due to fiscal constraints and limited educational openings, he faced several challenges in pursuing his fine passion. nonetheless, his fidelity and tone- study led him to exceed in mathematics indeed without formal training.

## Discovering Mathematical Talent

Ramanujan’s fine gift was discovered byV. Ramaswamy Aiyer, his academy schoolteacher, who honored his extraordinary capacities. With the support and stimulant of his tutor, Ramanujan continued to explore and develop his fine chops.

## Collaboration with Hardy

In 1913, Ramanujan wrote a letter toG.H. Hardy, a leading mathematician at the University of Cambridge, participating his work and seeking guidance. Impressed by Ramanujan’s exceptional fine results, Hardy invited him to Cambridge, where they banded on multitudinous fine problems and published several groundbreaking papers together.

## Benefactions To Mathematics

Ramanujan’s benefactions to mathematics are vast and profound. He made significant advancements in colorful areas, including number proposition, horizonless series, fine analysis, and the proposition of partitions. His work on continued fragments, modular forms, and mock theta functions revolutionized these fields and laid the foundation for unborn fine exploration.

## Ramanujan’s Formulas And Equations

One of Ramanujan’s most notorious achievements is his discovery of several formulas and equations that answered long- standing fine problems. His formula for the partition function, Ramanujan’s theta function, and the Ramanujan florescence are just a many exemplifications of his remarkable fine discoveries.

## Heritage And Recognition

Although Ramanujan’s life was tragically cut short at the age of 32, his heritage continues to thrive. His benefactions to mathematics have had a profound and continuing impact on the field, inspiring generations of mathematicians. Ramanujan’s work has been necessary in working complex fine problems and advancing colorful branches of mathematics.

## Particular Life

Despite his focus on mathematics, Ramanujan also had a particular life. He married Janaki Ammal in 1909, and the couple faced fiscal difficulties during their early times of marriage. Ramanujan’s health also deteriorated, and he battled illness throughout his life. Despite these challenges, his love for mathematics remained unvarying.

Srinivasa Ramanujan’s unequaled genius and remarkable benefactions to mathematics make him a fabulous figure in the field. His work continues to be studied, appreciated, and erected upon by mathematicians worldwide. Ramanujan’s story is an alleviation, proving that passion, determination, and ingrain gift can overcome any obstacles.

Also Read: Life Without Mathematics Paragraph

## Srinivasa Ramanujan Essay In 500 Words (FAQ’s)

Question 1. What were some of Ramanujan’s most notorious fine formulas?

Answer: Ramanujan’s most notorious formulas include the partition function, theta function, and the Ramanujan florescence.

Question 2. How did Ramanujan’s collaboration with Hardy impact mathematics?

Answer: Ramanujan’s collaboration with Hardy led to the discovery of groundbreaking fine results and the publication of influential papers.

Question 3. What’s Ramanujan’s heritage in mathematics?

Answer: Ramanujan’s heritage in mathematics is immense. His work continues to inspire mathematicians and has significantly advanced colorful branches of the field.

Question 4. Did Ramanujan admit formal fine training?

Answer: No, Ramanujan didn’t admit formal fine training. He developed his fine chops through tone- study and disquisition.

Question 5. What challenges did Ramanujan face during his life?

Answer: Ramanujan faced fiscal difficulties and battled illness throughout his life, but he crushed these challenges to come a famed mathematician.

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## Srinivasa Ramanujan Essay in 100 Words

Are you also looking for Srinivasa Ramanujan essay in 100 words ? If yes, then you have fallen on the world’s best website essayduniya.com. If you are searching Srinivasa Ramanujan essay in 100 words, essay on Srinivasa Ramanujan, essay on Srinivasa Ramanujan in English, Srinivasa Ramanujan essay in English, Srinivasa Ramanujan paragraph, essay on Ramanujan then your wait ends here.

Srinivasa Ramanujan was a mathematician who worked in India in the early 1900s. He was known for his work in the field. The year 1887 was his year of birth, and 1920 was the year he passed away. Mathematics and number theory where his main areas of study, and he was responsible for a great variety of important discoveries and proofs in those fields. Both the “Father of Mathematical Statistics” and the “Father of the Ramanujan Prime” are titles that are often used to refer to him today.

## Essay On Srinivasa Ramanujan 150 words

National Mathematics Day is held every year on December 22, which is Srinivasa Ramanujan’s birthday. He was born on December 22, 1887. He was born into a family that did not have a lot of money. They were unable to follow their interests due to a lack of cash support.

It is claimed that Ramanujan was capable of expressing a mathematical problem in more than a hundred different manners. Due to the fact that he focused on this area, he is now known around the world as a mathematics expert. Srinivasa Ramanujan was born in 1887 and died in 1920. He is widely regarded as one of the most brilliant mathematicians of the 20th century.

He was a genius who educated himself, and he came up with some of the most incredible equations that have ever been found. The most “numerical” aspects of mathematics, which refer to the aspects of mathematics that deal with numbers, were among the themes that he worked on. Because of his talent, he was able to break down the basic concepts behind the mathematical term, so revealing the original purpose.

## Essay On Srinivasa Ramanujan 200 words

Srinivasa Ramanujan was an outstanding mathematician who was also a shining example of India’s rich cultural heritage. Srinivasa Ramanujan was a brilliant Indian mathematician who lived in the early 20th century. On December 22nd, 1887, he was born in Madras, India, when the region was still ruled by the British.

In the beginning, he did not have any interest in the traditional forms of education. Before reaching the age of 15, he had already achieved knowledge in several areas of study of mathematics. In 1904, he was awarded the K. Ranganatha Rao medal for his achievements in mathematics. Janakiammal was his wife on their wedding day, which took place on July 14, 1909.

In the time that he spent in Cambridge, he developed a strong friendship with the famous mathematician Hardy. He wrote a large number of books, each of which contains his many ideas and equations. On the 26th of April in the year 1920, he passed away at the age of 32. He was the one who presented the Hardy-Ramanujan Number 1729.

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## Essay On Srinivasa Ramanujan 250 words

Srinivasa Ramanujan was a brilliant mathematician who was born and raised in India in the early 1900s. Srinivasa Ramanujan did not have a childhood that was typical of other children ’s learning and development. The fact that Ramanujan did not start talking until he was three years old caused his parents anxiety that he would have a hearing loss.

He was skilled in a wide variety of areas. Despite having previously achieved first place on the entrance exam, Ramanujan was unsuccessful in completing the 12th grade on two separate occasions. Early on in his educational life, Ramanujan did his work in Tamil. He didn’t feel like studying at first. On the other hand, on the test for primary school, he received the highest score in the entire district.

He decided to further his education by registering in an advanced secondary school for the first time, and it was there that he started to focus on mathematics. Since he was a little boy, Ramanujan has never been one to shy away from a good question. And it was his custom to ask questions of such a nature that they would throw the teachers off their train of thinking. He was really quite eager to find out whether there were any questions that needed answering.

It is said that he questioned his teachers on topics such as, “Who was the first person in the world?” What makes the ground and the sky two completely different environments? How vast is the ocean, and how far does it go down? Etc.

## Essay On Srinivasa Ramanujan 300 words

SRINIVASA RAMANUJAN EARLY YEARS

Ramanujan was born in Erode, Tamil Nadu, on December 22, 1887, in the home of his grandmother. Also, he went to Kumbakonam Seemed to be Primary School when he was five years old. Before he went to Kumbakonam’s Town High School in January 1898, he went to several primary schools.

Ramanujan did well in all of his classes at Town High School, which showed how smart he was. He became interested in math around the year 1900. He started adding up mathematical and geometric series on his own. With the help of this book, Ramanujan began to teach himself math. There were also clear proofs, formulas, and equations in the book. There was also a list of works on pure mathematics

MATHEMATICAL CONTRIBUTION

In 1904, Ramanujan started to focus on deep research. He also did some research on the show (1/n). He also calculated the constant of Euler to 15 decimal places. He came up with this conclusion on his own. Because Ramanujan did so well in school, he was given a scholarship. Because of this, he did well in school at Kumbakonam’s Government College. He also got more and more interested in and excited about math.

Ramanujan went to Cambridge for a total of five years. Hardy and Littlewood also worked at Cambridge, where Ramanujan did as well. The most important thing is that his research was published there. In March 1916, Ramanujan got a Bachelor of Arts with a Research degree, which was a big deal. Because of his work on composite numbers, which was included in the first part and came out the year before, he was given this award. Also, there were more than fifty pages in the document.

Srinivasa Ramanujan is the only person who has made as many contributions to math as he has. Mathematicians all over the world agree on how important he is. The most important thing Srinivasa Ramanujan did was make India proud while it was still ruled by the British.

## Essay On Srinivasa Ramanujan 500 words

INTRODUCTION

One of the most brilliant mathematicians who ever lived, Srinivasa Ramanujan is regarded to be among the all-time greats in the field. In addition to this, despite coming from a humble Indian background, he managed to carve out a leading place for himself in the field of math.

On December 22, 1887, Ramanujan was born in Erode. He was born in a home that belonged to his grandmother. In addition to that, he started primary school in Kumbakonamwas when he was only five years old, despite the fact that he was born there. Additionally, he would go to a number of primary schools before registering in the Town High School in Kumbakonam in January of 1898. This would take place before his entrance into the high school.

Ramanujan showed that he was a talented student and excelled in all of the academic subjects that he was required to study while he was enrolled at the Town High School. Around the year 1900, he started taking an interest in mathematics and began independently adding geometric and arithmetic series. When Ramanujan was a student at Town High School, he started reading a mathematics book called “Synopsis of Elementary Results in Pure Mathematics.” Additionally, G. S. Carr was the author of this piece of writing.

Ramanujan got his start as a mathematician by reading this book and teaching himself the subject on his own. In addition to it, the book had theorems, formulas, and simplified versions of the relevant proofs. In addition to that, it included an index of publications on basic mathematical topics.

SRINIVASA RAMANUJAN IS MOST WELL-KNOWN FOR

Srinivas Ramanujan is well-known for making discoveries that have had a significant impact on a variety of subfields within mathematics. Additionally, he is well-known for the contributions he made to the fields of number theory and infinite series. In addition to this, he created remarkable formulas that, when used, make it possible to calculate the digits of pi in a variety of new directions.

The contributions that Srinivasa Ramanujan made to the discipline of mathematics are incomparable to those of any other individual. Additionally, mathematicians from all across the world agree that he is extremely valuable because of his many contributions. Most notably, Srinivasa Ramanujan brought honor to India during a period when the country was still ruled by the British. This achievement is especially notable given that India was still colonized at the time.

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## The untold story of Srinivasa Ramanujan, the man who knew infinity

Unlike mathematicians in the west who were trained to systematically prove each of their theorems, with extensive workings, srinivasa ramanujan was a man of intuition..

## Arun Janardhanan ,

In the Chennai of the early 1900s, few would have noticed the young accountant sprinting down Beach Road to his Madras Port Trust office north of Marina Beach. His coat tail flapping in the breeze, his flowing hair coming undone, a brick red namam (tilak) on his forehead, he would hurry down the road, past the University of Madras. A couple of years later, that sprint was to end at the gates of the university, which took in the “young, dark man”, Srinivasa Ramanujan, as a mathematics research fellow. The rest is infinity — and the subject of The Man Who Knew Infinity , Matthew Brown’s movie that opened the International Film Festival of India in Goa, with Dev Patel playing the mathematician.

In 1914, four years after he began his fellowship at Madras University, Ramanujan boarded the SS Nevasa and set sail for England. When he returned in 1919, he was bent with illness, fighting malnourishment and suspected tuberculosis. He died in 1920, a promising life cut short but not before he had stunned the West with his intuitive theorems in mathematics. With over 3,900 theorems and results to his credit, his formulae, scribbled on scraps of paper, continue to be relevant to problems at the frontiers of mathematics. His infinite series for pi (symbol) was among his most celebrated findings. When he died, he was only 32, a life too short to leave too many footprints, but we go looking for them anyway.

Kumbakonam is where it begins. The temple town in Thanjavur district, 270 km south of Chennai, was where Ramanujan grew up after his birth in Erode on December 22, 1887, to K Srinivasa Iyengar, a clerk with a cloth merchant, and homemaker Komalatammal. With at least two English-medium schools and a high school even in those days, the temple town was the sixth largest town of Madras Presidency when Ramanujan lived there.

Kumbakonam can’t claim to have made any great strides since then. It’s still a temple town, with at least a dozen shrines within the town limits, the lanes leading to each temple filthier, more cramped than it would have been when it groomed a budding mathematician more than a century ago.

A few yards from the Sarangapani temple, the largest Vaishnava temple in Kumbakonam, is the house where Ramanujan spent his childhood with his parents and two younger brothers. Next door to the non-vegetarian Pandian Hotel, this house was once part of an agraharam or traditional Brahmin neighbourhood with houses that opened into narrow lanes. Blue pillars hold up the low ceiling and the roof of the single-storeyed structure is covered with red baked tiles. Ramanujan’s bedroom is intact, with a cot by the blue window. A signboard in English says, “Ramanujan used to sit here for hours looking through the window.” A century has passed since Ramanujan left this room, but he could step right back in and little would have changed, like a passage to the infinite.

Now maintained by a private deemed university, it’s called the Srinivasa Ramanujan International Monument. A signboard in the front verandah asks visitors to “wait here” and a plaque announces that former president APJ Abdul Kalam “dedicated the monument to the nation” in 2003. But there are no visitors this day and the guard at the entrance says there aren’t any on most days.

“Sometimes people who visit the temple see the board and drop in,” says Srinivasa Achari, a shopkeeper near Ramanujan’s house. Outside, Sarangapani Sannidhi Street is milling with autorickshaws and cars, the temple gopuram (dome) towering over the jumble of buildings.

The young Ramanujan must have walked down this road to the Kumbakonam Town High School, which he joined in 1898. A framed catalogue at Ramanujan’s house says that it was at the Kumbakonam school that the 15-year-old came across G S Carr’s book, Synopsis of Elementary Results in Pure Mathematics, a book that was to influence the young boy in ways few imagined.

Robert Kanigel’s 1991 biography of Ramanujan, The Man Who Knew Infinity, from which the movie has been adapted, provides the most authentic account of Ramanujan’s early life. He writes that Ramanujan used to challenge his teachers even as a Class III student. Kanigel writes: “One day, the math teacher pointed out that any number divided by itself was one: Divide three fruits among three people, he was saying, each would get one… So Ramanujan piped up: But is zero divided by zero also one? If no fruits are divided among no one, will each still get one?”

In 1906, after his matriculation, a young Ramanujan left Kumbakonam for Madras for his intermediate (higher secondary). In 1906, at 19, he arrived at Egmore Station in Madras, three years before his marriage to Janaki Ammal. An anecdote in Kanigel’s book says that when Ramanujan first arrived at the Madras railway station, he was so tired and disoriented that he fell asleep in the waiting room. “A man woke him up, took him back to his house, fed him, gave him directions, and sent him on his way to the college (Pachaiyappa’s College), where he would fail his intermediary exams before taking up the job in Madras Port Trust,” writes Kanigel.

In 1909, he married Janaki Ammal. The previous year, his mother had met Janaki, “a bright-eyed wisp of a girl”, daughter of a distant relative. Horoscopes were matched and the nine-year-old was married off to the 22-year-old. Janaki would join him only after three years as she had to remain at her home till she attained puberty. By all accounts, their marriage had its challenges — she was years younger and knew little mathematics while he was consumed by his equations and theorems. Janakai died in 1994 in a flat on Hanumantharayan street in Triplicane, Chennai.

It was in the Triplicane house that Ramanujan spent all his early years, furiously scribbling equations on scraps of paper. There are accounts of how a childhood friend visited Ramanujan at his house and, on seeing his room, a workshop of theorems and equations, the friend predicted that Ramanujan would one day be known as a “genius”. In reply, Ramanujan is said to have raised his arm, pointed to his calloused and darkened elbow and said, “My elbow is making a genius of me.” Too poor to afford notebooks and paper, Ramanujan would work out his theorems on a large slate and erase them with his elbow.

It was around this time, 1907-12, that Ramanujan must have begun thinking of a career in mathematics, but he was poor, had no formal college education and desperately needed a benefactor. It was Seshu Aiyar, a professor at Presidency College, Madras, who suggested that Ramanujan write to GH Hardy, a Fellow of the Royal Society and Cayley Lecturer in Mathematics at Cambridge, a celebrated mathematician who was 10 years Ramanujan’s senior.

His first letter, dated January 16, 1913, had about 120 theorems. When he got no response to that letter, Ramanujan wrote again. As we leaf through Ramanujan: Letters and Commentary by Bruce C Berndt, Ramanujan scholar and mathematics professor at the University of Illinois, it’s this letter that talks loud and clear, even in the stillness of the Madras University library. “I am already a half-starving man,” Ramanujan wrote to Hardy. “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 either from the University or from Government.”

Hardy, intrigued by Ramanujan’s letter and notes, is said to have taken them to his colleagues in Cambridge. It was on their recommendation that Ramanujan was considered for a scholarship at the University of Madras. But how could they grant him one? He didn’t even have a bachelor’s degree. He had, after all, failed his intermediate exams. Did he fail his math paper, too?

Years later, in 1987, close to seven decades after the mathematician’s death, AR Venkatachalapathy, a professor at the Madras Institute of Development Studies, was researching on “early nationalism in India” when he stumbled upon a confidential note related to Ramanujan. Venkatachalapathy dug through realms of university records at the Tamil Nadu Archives till he came across Ramanujan’s marksheet in the intermediary exams. The genius hadn’t failed his math paper! “That he had failed even in maths was what proved to be a huge hurdle when Ramanujan wanted to pursue his passion for numbers. My finding helped change that theory. This marksheet I found was a ‘Confidential Note’ written by then registrar of Madras University to the education secretary and the chief secretary,” says Venkatachalapathy.

Ramanujan had failed his English and Sanskrit exams, but had scored 85 out of 150 in maths, with 45 the minimum needed to clear the paper. That’s a score no mathematician worth his numbers will be proud of, but most guesses since then are that Ramanujan only attempted the questions that interested him, something that has been attributed to the mind of an eccentric genius.

The syndicate of Madras University met on April 7, 1910, to discuss if Ramanujan could be taken in as a researcher. While there were dissenting voices, it was then Vice Chancellor P R Sundaram Iyer who prevailed, saying, “Did not the preamble of the act establishing the university specify that one of its functions was to promote research? And, whatever the lapses of Ramanujan’s education, was he not a proven quantity as a mathematical researcher?”

Three days later, on April 12, the university cleared Ramanujan’s scholarship amount of Rs 75 a month, along with permission to access the university library and submit his periodical research reports once in three months.

Thus, Ramanujan the mathematician had begun his journey. He could now afford to buy notebooks to scribble his findings. Much to the interest of Hardy, his mentor, these notebooks would find their way to England, much before Ramanujan himself did. After Ramanujan’s death, it was his younger brother Tirunarayanan who chronicled the handwritten notes and compiled them. These are mostly scraps of paper, some running into 200 pages, stuffed with formulae on hypergeometric series, continued fractions and singular moduli.

Unlike mathematicians in the West who were trained to systematically prove each of their theorems, with extensive workings, Ramanujan was a man of intuition. Once, Kaniglel writes, Ramanujan was asked about a new equation he had derived. His reply was that it was goddess Namagiri (the presiding deity of a shrine in Namakkal) who had appeared in his dream and helped him solve that problem.

Kanigel’s biography also says that Ramanujan was heavily superstitious. Going to a foreign land, especially crossing the sea, was “sinful”, akin to discarding the sacred thread, eating beef, or marrying a widow. But his superstitions stood by him too, writes Kanigel. Hardy had invited him to England but his mother was staunchly opposed to his sailing to a foreign land. Luckily for Ramanujan, his mother had a dream. “In (the dream), his mother had seen herself surrounded by Europeans and heard the goddess Namagiri commanding her to stand no longer between her son and the fulfilment of his life’s purpose,” writes Kanigel.

Less than five years after he landed in England in early 1914, he was back in India on March 27, 1919. He died a year later, on April 26. But this last year of his life that he spent in Chennai was by no means any less significant for mathematics. “The mathematics that Ramanujan developed after he became seriously ill and returned to India has a high potential for applications in number theory and also in physics. The mock theta functions introduced by Ramanujan in his last days is especially significant to string theory,” says R Balasubramanian, former director of the Institute of Mathematical Sciences in Chennai.

Filmmaker Matthew Brown, who directed The Man Who Knew Infinit y, sets the story of Ramanujan in Cambridge, in the backdrop of World War I and the friendship between Ramanujan and Hardy.

Brown says he first discovered the story of Ramanujan when his aunt shared the biography written by Kanigel about 10 years ago. “I became fascinated by the relationship between Ramanujan and Hardy. They are two men so fundamentally different. Ramanujan was a Brahmin Indian from Madras with no formal education, who believed a formula had no meaning unless it expressed a thought of God. Hardy, on the other hand, was a revered professor at the prestigious Trinity College at Cambridge University and also an avowed atheist. It is an incredible story of how two people were able to overcome their personal differences to form one of the greatest collaborations in the history of mathematics. Ramanujan went on to become the first Indian to be both a Fellow of Trinity College and the Royal Society. While they eventually connected and published great works, there was a cost that came in that Ramanujan’s life ended all too soon. It is a very tragic story,” he says.

In his name *1,729 is called the Hardy-Ramanujan number, after a famous encounter between the British mathematician and Ramanujan in 1918. “I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one. ‘No,’ Ramanujan replied. ‘It is the smallest number expressible as the sum of two cubes in two different ways’”

*A report published by The Hindu in the late 1920s says two months before Ramanujan was elected fellow of the Royal Society, he attempted suicide by jumping in front of a London Underground train. The police did not arrest him after Hardy came to his rescue and testified that Fellows of Royal Society were not arrested in England for committing an offence

*In 2012, Dr Manmohan Singh declared Ramanujan’s birthday, December 22, as National Mathematics day. The Ramanujan Journal, is an international journal published by Indian-American mathematician Krishnaswami Alladi, at the University of Florida. It chronicles work in all areas of mathematics influenced by Ramanujan.

This story was first published on December 6, 2015.

- Srinivasa Ramanujan

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## Srinivasa Ramanujan Essay - 100, 300, 1000 Words

## Srinivasa Ramanujan Essay in 2500 Words

In This Article, We are Going To Read Srinivasa Ramanujan Essay . We Hope That This Essay on Srinivasa Ramanujan will Help You Alot.

## Srinivasa Ramanujan Essay in 100 Words

Shrinivas Ramanujan was a great mathematician in India. He was born on 22 December 1887 in Madras during the British government. He had no formal education in mathematics. Full name was Srinivas Iyenger Ramanujan.

## Srinivasa Ramanujan Essay in 200 Words

Srinivasa Ramanujan was born on December 22, 1887, in Madras. The full location is a village called Erode near Kumbakonam. His father's name is Srinivasa Iyengar. His father used to work with a businessman. Srinivasa's early education took place at the Kumbakonam High School. His memory power was very good. He was very famous among his friends for solving mathematical problems. From 6 to 7 days, he used to solve all the questions of a new maths book. His classmates used to be surprised to see his talent, he did many important works in the field of mathematics.

See Also | Biography of Srinivasa Ramanujan (1887 - 1920)

Srinivasa was the first to prepare the formulas of arithmetic. Then lean towards the person and then towards algebra. I passed the matriculation examination, and after that appeared in the intermediate examination, but failed that. Dr Hardy, the famous mathematician of England, helped him a lot. Hardy used to say that I learned more from Ramanujan than I explained to him. He was married Janaki Devi in the year 1933. In 1922, his first essay was published in the journal Mathematical Society. In 1917, Ramanujan was in the grip of tuberculosis. He returned to his country in 1919. His health kept declining. He died in Madras on 23 April 1920.

## Srinivasa Ramanujan Essay in 300 Words

## Introduction

The great mathematician Ramanujan was one of the activities of India. The mother of this extraordinary genius and genius of young mathematician was so unique that since childhood, she gave birth to many fundamental principles of mathematics, but also showed its rendering practically in diverse forms.

## Birth

The great mathematician Srinivasa Ramanujan was born on 22 December 1887 in a Brahmin family in Kumbakonam city of Tamil Nadu. His mother Komalata Mal was a woman of religious rites. The indelible impression of these religious rites was so much on Ramanujan that from childhood he was a child of very keen intellect, inquisitive solitude lover, and disinterested in sports. His interest in mathematics was very deep. His father used to work as a clerk in a saree shop for a salary of ₹ 20 per month.

## Mathematics and Ramanujan

He used to solve all the questions of mathematics completely correctly in a very short time. Teachers used to ask questions and Ramanujan used to solve them. All the teachers of mathematics used to consider his talent as iron. At the age of 16, by proving 5000 sutras and lovers, he surprised not only the country but also the schools abroad. He was not interested in any other subject except mathematics. Except for maths, he used to fail in all other compulsory subjects. Because of this, his scholarship was taken away.

Ramanujan was really a wonderful prodigy, an extraordinary mathematician. The great mathematician of the 19th century was amazed at his legibility and gift of formulas. If he had got more opportunities, he would have given many more new things to the mathematical world with his unique talent.

## Srinivasa Ramanujan Essay in 400 Words

Srinivasa Ramanujan was a great mathematician in India. Srinivasa Ramanujan is considered the greatest mathematician of modern times, he did not receive any special training. Still made a special contribution in the field of mathematics. He not only gave India incomparable pride due to his amazing invention in the field of mathematics with his statue and passion. His full name is Srinivasa Iyengar Ramanujan was born into a poor Brahmin family in the village of Coimbatore, Tamil Nadu. His father's name and mother's name was Komal and worked as a local merchant and his domestic helper.

## Early Education and Remarkable Talent

Srinivasa Ramanujan started his early education at the primary school Kumbakonam. He was rich in prodigious talent since childhood. Since childhood, he was a very sharp-minded, inquisitive lover of solitude and interested in sports. He had a keen interest in mathematics. He used to solve all the questions of mathematics completely correctly in a very short time. In the subject of mathematics, all the teachers used to consider his talent as iron. He was stripped of his student status for failing in all compulsory subjects except maths. His parents wanted him to study despite their poor financial condition. In 1909, he got married to Janaki. Started tutoring again.

## A Journey to England

Along with this, he also continued to write research work on mathematics. His first research paper was published in 1911 in the third issue of the Journal titled Some Properties of Monkey Numbers with Questions of 8 Numbers. Ramanujan reached England on 14 April 1911. He was introduced to the renowned mathematicians of Cambridge University, Henry Fabrice Baker, Double Hobran, and Harald Holdy. Profession Holding recognized the versatility of Ramanujan. Recently when he saw Ramanujan's booklet of 120 lovers, he was amazed. On the basis of miraculous research papers, he got a BA degree without examination. Srinivasa Ramanujan gave such formulas in mathematics because of which he is also called the magician of numbers.

## Ramanujan's Enduring Legacy

He was suffering from tuberculosis due to which he breathed his last on 26 April 1920 at the age of 33. He devoted his entire life to the field of mathematics. His style of work will always continue to influence the generations to come. Then he was only 33 years old. His essays and formulas were published in foreign journals and his research papers were published. All his research is based on numerology. He proved to the world that any whole number can be written in 3 ways.

## Srinivasa Ramanujan Essay in 1000 Words

Srinivasa Ramanujan was a great Indian mathematician. In these, the great mathematical thought of modern times is counted.

## Early Life Span

Ramanujan was born on 22 December 1887 in a village named Erode, Coimbatore, located in the southern part of India. He was born in a traditional Brahmin family. His mother's name was Komal Tamal and his father's name was Srinivasa Iyengar. He was born and spent his childhood in Mukta Kumbakonam, which is known for its ancient temples. In childhood, the intellectual development of Ramanujan was not like that of ordinary people. He could not learn to speak even till the age of 3 years. In later years, when he joined the school, he did not even mind the lack of traditional education. Ramanujan secured the highest marks in the entire district in the primary examination at the age of 10 and proceeded to the Town High School for further education. The sweetness of Ramanujan only. His talent in school started leaving an impression on other students and teachers. After passing the high school examination, he got the Subramaniam scholarship due to his good marks in Mathematics and English and also got admission for further education. Ramanujan's mathematics did not pay attention to other subjects. The result was that he failed in all the subjects except maths in the 11th class examination and as a result, the scholarship stopped. He also did some maths and account work. Gave the examination of class VII and with this, his examination was done.

## End Of Formal Education And Time Of Struggle

The time of 5 years after leaving school was very frustrating for him. India at this time was bound in shackles. There was severe poverty all around. At such a time, Ramanujan had neither a job nor an opportunity to work with any institute or professor. The unwavering faith in Keshwar did not let him stop anywhere and he continued his research in mathematics even in such adverse circumstances. At this time Ramanujan used to get a total of ₹ 5 monthly from tuition and used to live in this. This life period of Ramanujan was full of suffering and sorrow.

## Marriage And Maths Sadhana

In the year 1960, his parents got him married to a girl named Janaki. After getting married, it was no longer possible for him to forget everything and immerse himself in mathematics. Hey, Madras looking for a job. Whenever he met someone, he used to show him one of his registers. In this register, all the work done by him in mathematics was done. Here Deputy Collector Mr V Ramaswamy Iyer recognized Ramanujan's talent and arranged a monthly scholarship of ₹ 25 for him. On this increase, Ramanujan published his first research paper while living in Madras for one year. The title of the research paper was Some Properties of Bernoulli Numbers and this research paper was published in the Journal of the Indian Mathematical Society. Upon completion of 1 year here, he worked as a clerk in the Madras Port Trust, the workload was less so that he used to write the research of new mathematical formulas overnight and later used to write it in a register.

## Correspondence With Professor Hardy

At this time there was a great distance between the Indian and the Western way of life and because of this Indians were generally very hesitant to present their views in front of the British scientists. At the same time, when Ramanujan showed some formulas of his number theory to the city by profession, his attention went towards Professor Hardy of London itself. Professor Hardy was one of the world's famous mathematicians of that time. After reading Professor Hardy's research work, Ramanujan said that he had discovered the answer to Professor Hardy's unanswered question. Now Ramanujan's correspondence with Professor Hardy started. Now from here, a new era started in Ramanujan's life, in which Professor Hardy had a big role, the friendship of Ramanujan and Professor Hardy proved beneficial for both.

## Traveling Abroad

Ramanujan stepped on the soil of London. There Professor Hardy had already arranged for him, so he did not face any special problems. Ramanujan had only a little trouble in England and his name was his shy, quiet nature and pure virtuous life. Here he published high-quality research papers in collaboration with Professor Hardy, due to his special research, he also got the BA degree from Cambridge University.

## Home Arrival

London's climate and living style were not very favorable to him and his health started deteriorating. Doctors called it six diseases. Even after returning to India, health did not support him and the condition was becoming serious. Even in the condition of this disease, he Wrote a high-level school paper on Mokshita Function, this function propounded by Fullstop Ramanujan is used not only in mathematics but also in medical science to understand cancer.

## Death of Ramanujan

His declining health became a matter of concern for everyone and even the doctors had now given their answers. Finally, the time has come for Ramanujan's departure. In the morning of 26 April 1920, he became unconscious and by the afternoon he gave up his life. At this time Ramanujan's age was only 33 years. His untimely demise was an irreparable loss to the world of mathematics. Whoever heard the news of Ramanujan's death in the whole country and abroad was shocked.

National Mathematics Day was declared by the Government of India in 2012 on the occasion of the 125th birth anniversary of India's great mathematician Srinivasa Ramanujan , since then every year 22 December is celebrated as National Mathematics Day in India. On this day, many programs are edited in relation to mathematics. Today the country needs a large number of mathematicians. For this, we have to bring reforms in academics and evaluation, and encourage talented students so that they do not have to face difficulties like Ramanujan. This would be a true tribute to Ramanujan.

## 10 Lines Essay on Srinivasa Ramanujan

1) Srinivasa Ramanujan was a great mathematician in India.

2) He was born on 22 December 1887 in Madras during the British rule.

3) Initially he needed to show interest in traditional education.

4) At the age of 15, he had mastered various sections of mathematics.

5) He received the K Ranga Rao Rao Prize for Mathematics in 1904.

6) He married Janaki Amal on 14 July 1999.

7) During his days at Cambridge, he was a great mathematician. Also, close to Hardy.

8) He wrote many books containing his principles and sutras.

9) He died on 26 April 1920 at the age of 32.

## Frequently Asked Questions About Srinivasa Ramanujan Essay (FAQs)

Question: Who is the biggest mathematician in India?

Answer: Shrinivas Ramanujan , was a great mathematician of India. He was born on 22 December 1887 in Madras during the British government. He had no formal education in mathematics. Full name was Srinivas Iyenger Ramanujan.

Question: What is Maths Day Srinivasa Ramanujan?

Answer: National Mathematics Day was declared by the Government of India in 2012 on the occasion of the 125th birth anniversary of India's great mathematician Srinivasa Ramanujan , since then every year 22 December is celebrated as National Mathematics Day in India.

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500 Words Essay On Srinivasa Ramanujan. Srinivasa Ramanujan is one of the world's greatest mathematicians of all time. Furthermore, this man, from a poor Indian family, rose to prominence in the field of mathematics. This essay on Srinivasa Ramanujan will throw more light on the life of this great personality.

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Srinivasa Ramanujan (born December 22, 1887, Erode, India—died April 26, 1920, Kumbakonam) was an Indian mathematician whose contributions to the theory of numbers include pioneering discoveries of the properties of the partition function.. When he was 15 years old, he obtained a copy of George Shoobridge Carr's Synopsis of Elementary Results in Pure and Applied Mathematics, 2 vol. (1880 ...

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Birth -. Srinivasa Ramanujan was born on 22nd December 1887 in the south Indian town of Tamil Nad, named Erode. His father, Kuppuswamy Srinivasa Iyengar worked as a clerk in a saree shop and his mother, Komalatamma was a housewife. Since a very early age, he had a keen interest in mathematics and had already become a child prodigy.

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The young Ramanujan must have walked down this road to the Kumbakonam Town High School, which he joined in 1898. A framed catalogue at Ramanujan's house says that it was at the Kumbakonam school that the 15-year-old came across G S Carr's book, Synopsis of Elementary Results in Pure Mathematics, a book that was to influence the young boy in ways few imagined.

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