Srinivasa Ramanujan — The Man Who Knew Infinity

Introduction

In the history of mathematics, a few names rise above mere numbers and formulas to become enduring symbols of inspiration. Srinivasa Ramanujan is one such name — a man who, from a small town in South India, without formal training, without a laboratory, without any mentor, discovered mathematical truths that still astonish the world's greatest mathematicians today. Ramanujan's story is not merely the story of a prodigy. It is the story of a man who found infinity in poverty, who refused to abandon mathematics despite hunger and illness, who nourished his genius through devotion to his mother, his wife, his culture, and his goddess Namagiri. This article presents a detailed account of Ramanujan's life, his family, his struggles, his mathematical discoveries, and his enduring legacy.

Birth and Early Life

Birth

Srinivasa Ramanujan Iyengar was born on 22 December 1887 in Erode, Tamil Nadu. His mother, Komalatammal, had come to her parents' home for the delivery. Within days, the family returned to Kumbakonam, where Ramanujan spent most of his childhood.

Family Background

Ramanujan's family was a Brahmin family of modest means. His father, Srinivasa Iyengar, worked as a clerk in a cloth merchant's shop, earning around twenty rupees a month — barely enough even then for a large family. His mother, Komalatammal, was a religious, spirited, and strong-willed woman. She sang devotional songs at the local Namagiri temple and was a devoted follower of the goddess Namagiri. Her influence on Ramanujan's life was immense. The bond between mother and son was extraordinarily close. Ramanujan had several siblings, but most died in infancy. This grief made the family centre itself even more deeply around Ramanujan.

Goddess Namagiri — His Spiritual Inspiration

He often said that the goddess Namagiri would appear in his dreams and write mathematical formulas on his tongue. Upon waking each morning, he would immediately record those formulas in his notebook. This was not mere superstition — it was a symbol of Ramanujan's extraordinary power of intuition. His mind continued working on mathematical problems even in sleep, and answers came to him in dreams.

Mathematical Talent in Childhood

An Extraordinary Child

Ramanujan displayed exceptional talent from a very early age. His memory was phenomenal — once he saw or heard something, it was permanently etched into his mind.

Carr's Book — A Life-Changing Moment

An ordinary student would have been discouraged. But Ramanujan took it as a challenge. He attempted to prove every single formula himself, and wherever he found them incomplete, he developed entirely new formulas. This book became his university of mathematics.

Failure in Formal Education — A Painful Truth

Struggle in College

Ramanujan's obsession with mathematics meant he could not pay attention to any other subject.

Marriage and Family Life

Marriage to Janaki

In 1909, when Ramanujan was 21, he was married. His wife's name was Janaki Ammal. At the time of their marriage, Janaki was only nine years old (child marriage was common in that era). Janaki was a quiet, gentle, and devoted woman. She did not understand Ramanujan's mathematical genius, but she stood by him always. When Ramanujan left for England, Janaki stayed behind with her mother-in-law Komalatammal. After Ramanujan's departure, there arose tension between mother and daughter-in-law. Komalatammal prevented Janaki from going to England and also withheld Ramanujan's letters from her. Ramanujan did not know whether his letters were reaching Janaki at all.

Mother Komalatammal — Strength and Conflict

The relationship between Ramanujan and his mother was complex and deep. It was she who instilled in him devotion to goddess Namagiri. She who taught him Sanskrit verses. Her lullabies held numbers in them; her devotional songs were threaded with mathematics.

Struggles in Madras — In Search of Recognition

Meeting Ramachandra Rao

Around 1910–11, Ramanujan met Diwan Bahadur Ramachandra Rao, District Collector of Madras, and showed him his notebook. Rao was astounded.

Clerk at Madras Port Trust

In 1912, Ramanujan was appointed as a clerk at Madras Port Trust. Monthly salary — thirty rupees. This was his first stable income. His supervisor S. Narayana Iyer recognised his talent and gave him time and encouragement for mathematics, eventually presenting him to the Indian Mathematical Society.

Connection with the Indian Mathematical Society

In 1911, Ramanujan's first research paper was published — *"On Some Properties of Bernoulli Numbers"* — in the Journal of the Indian Mathematical Society. This was an important milestone. His name was now known in the world of mathematics.

The Letter to Hardy — That Historic Moment

The Decision to Write

In his letter, Ramanujan wrote:

Hardy's Reaction

Hardy initially set the letter aside, thinking it the work of a crank. But that night he could not sleep. The formulas in the letter kept circling in his mind. In the morning he called his colleague John Edensor Littlewood. Together they examined the formulas for hours. They found: - Some formulas were already known — but Ramanujan had discovered them independently - Some formulas were entirely new and of astounding validity - Some formulas were so complex that even Hardy and Littlewood could not immediately prove them Hardy wrote back immediately and invited Ramanujan to Cambridge.

Cambridge — A New World

The Journey to England

Travelling to England was not easy for Ramanujan. His mother strongly objected, fearing spiritual transgression. In strict Brahmin tradition, crossing the seas was considered religiously forbidden. Eventually, Goddess Namagiri appeared to his mother in a dream and told her to let Ramanujan go. After this dream, she gave her blessing. On 17 March 1914, Ramanujan departed Madras for England. The journey was long and difficult. For a strict vegetarian Brahmin, finding suitable food on board the ship was itself a challenge.

Life at Cambridge

Arriving at Cambridge, Ramanujan found a new world — vast libraries, eminent professors, an environment of mathematical discussion. But there were hardships too.

The Hardy–Ramanujan Partnership

The Hardy–Ramanujan partnership is one of the most remarkable in the history of mathematics. But both shared one thing — an indomitable love of mathematics. Hardy taught Ramanujan the formal language of mathematics. Ramanujan gave Hardy the insight that no textbook could ever provide.

The Great Mathematical Discoveries

Fellowship — India's Pride

In 1918, Ramanujan was elected Fellow of the Royal Society (London) — the highest recognition in science and mathematics at the time, and he was the first Indian to receive it. The news was celebrated across India like a festival. A clerk without a degree, from a poor family, from no metropolitan city — had received the world's highest mathematical honour.

Illness and Return

The Attack of Tuberculosis

While in England, Ramanujan's health gradually deteriorated. In 1917, he was admitted to Matlock Sanatorium with serious illness, suspected to be tuberculosis.

Return to India

On 27 February 1919, Ramanujan left England for India. Five years had passed — and he was returning as a celebrated mathematician. But his condition on arrival was extremely weak. He went to Madras and then to Chetput for treatment.

Final Days and Legacy

Death

The Lost Notebook — A Miraculous Discovery

Ramanujan's Contributions in Modern Mathematics

Ramanujan's discoveries live on vibrantly in today's science and technology:

Ramanujan and Indian Culture

Ramanujan was not merely a mathematician — he was the embodiment of the meeting point between Indian spirituality and mathematical genius. He demonstrated that mathematics and spirituality are not opposites. When he said *"the goddess gave me the formulas,"* he was speaking of the power of his intuition — that deep concentration which we call meditation or *sadhana*.

Relevance to CSIR NET, GATE and IIT JAM

Ramanujan's work connects directly to your examination syllabus:

Topic	Ramanujan's Contribution
Number Theory	Partition function, prime numbers, taxicab numbers
Infinite Series	Convergence tests, special series
Complex Analysis	Theta functions, Modular Forms
Real Analysis	Infinite series, continued fractions
Applied Mathematics	Computation of $\pi$, numerical methods

Conclusion

Ramanujan's story does not end — it continues to grow. The formulas in his notebooks continue to inspire new research. His discoveries continue to strengthen the foundations of mathematics and science. He was a man who turned poverty into opportunity, struggle into devotion, and from the soil of a small Indian town, flung open the doors of infinity. Whenever you study mathematics, whenever a problem seems too difficult, whenever you feel you cannot go on — remember Ramanujan. A man who, through hunger, through illness, through loneliness — knew infinity.