Episode

103

Discover the amazing story of the Indian mathematical genius who went from accounting clerk at the Port of Madras to the University of Cambridge.

Get immediate access to a more interesting way of improving your English

[00:00:00] Hello, hello hello, and welcome to English Learning for Curious Minds, by Leonardo English.Â

[00:00:11] The show where you can listen to fascinating stories, and learn weird and wonderful things about the world at the same time as improving your English.

[00:00:20] I'm Alastair Budge and today we are going to be talking about a fantastic mathematician, a man called Srinivasa Ramanujan.

[00:00:29] He was one of the most famous mathematicians of all time, and his story, from hunger and **starvation** in India through to the most **prestigious** of Cambridge colleges is fascinating and inspiring.

[00:00:43] So, letâs waste no time, and learn about the brilliant life of Ramanujan.

[00:00:50] At the end of January 1913 a mathematician at the University of Cambridge, the most **prestigious** university in the UK, if not the world, for mathematics, received a letter.

[00:01:04] He opened it up, and started reading. It began like this:

[00:01:10]Â

[00:01:10] dear Sir,

[00:01:11] I beg to introduce myself to you as a **clerk** in the Accounts Department of the Port Trust Office at Madras on a salary of only ÂŁ20 per **annum**. I am now about 23 years of age. I have had no University education but I have **undergone** the ordinary school course. After leaving school I have been employing the spare time **at my disposal** to work at Mathematics. I have not **trodden** through the conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of **divergent series** in general and the results I get are **termed** by the local mathematicians as "**startling**".

[00:02:03] The letter then continued to present some amazingly **profound** and interesting ideas about mathematics, about investigations that this young man had made, **proofs** that he was working on, and **startling** discoveries that he had found.

[00:02:20] The letter was signed S. Ramanujan, and it was **addressed** to G.H. Hardy, who was at the time one of the worldâs leading pure mathematicians.

[00:02:32] It was to be the start of an amazing relationship, an **enduring** friendship, and the discovery of one of the greatest mathematical geniuses of the 21st century.

[00:02:44] To understand Ramanujan though, we need to go a little back.Â

[00:02:49] He was only in his 20s when he wrote that letter, so we donât need to go back too far.

[00:02:55] Srinivasa Ramanujan was born on the 22nd of December 1887 in the town of Erode, in South East India.Â

[00:03:06] His father was an accounting **clerk**, and his mother sang at a local temple.Â

[00:03:12] His family were of the Brahmin **caste**, the Hindu **caste** of priests, and scholars.Â

[00:03:18] It was a high **caste**, but they were not rich by any standards.

[00:03:23] From an early age, Ramanujan showed a real gift for mathematics.Â

[00:03:28] By the age of 10 he was the top student in his class, and he soon spent every spare hour **devouring** the mathematics textbooks in his schoolâs library.

[00:03:40] By the age of 12, he was working his way through advanced mathematical ideas. It was clear that the boy was incredibly talented, but it was **by no means** obvious what this could lead to.

[00:03:54] When he was 16 he managed to get his hands on a copy of a book of mathematical theories from a Cambridge professor, a book that opened up a whole new world for Ramanujan.

[00:04:06] He was just a 16 year old boy from a poor family in a town in India, and this book gave him a view into some of the most advanced ideas in mathematics.

[00:04:19] The book laid out some of the main theories of the day, which we wonât go into because they are obviously very complicated and this is an episode about the humans behind the story, rather than the mathematics.Â

[00:04:33] But the point is that, with mathematical research, you need to show the proof of why something is true.Â

[00:04:41] The book that Ramanujan found only showed the theories, and so he understandably thought that that was how you did mathematics.

[00:04:52] So when it came to the letter he was later to send Hardy, he sent his mathematical theories without proof, in the same style of the book that he had found when he was 16.

[00:05:03] Anyway, to get back to our story, Ramanujan quickly started working on his own mathematical ideas. He wasnât content to merely understand what others had found, he was working on his own problems, his own mathematical theories.

[00:05:20] He was too poor to afford much pen and paper though, so he would do most of his work on **slate** with chalk - a **slate** is a kind of rock - and then he only wrote on pen and paper when he had actually figured something out.

[00:05:38] As he was clearly a genius, not just âtop of his classâ but really âin a different leagueâ, he won a **scholarship** to a Government Arts College.Â

[00:05:48] However, he **devoted** all of his attention to mathematics, which meant that he failed his non-mathematical exams, and ended up losing his **scholarship**.Â

[00:06:00] He transferred to what was then Madras, and is now called Chennai, to **enrol** in another college, but again he failed his non-mathematical exams.

[00:06:11] He was miserably poor, and had completely devoted himself to the study of mathematics. Every last piece of money he had he used to pay for pen and paper, and he was said to be constantly hungry.

[00:06:28] Nevertheless, he was making **substantial** mathematical developments, despite working almost completely on his own, thousands of miles away from the centres of mathematical **scholarship** in Europe and North America.

[00:06:42] By 1910 or so, when he was 23, he found some **odd jobs** as a mathematics tutor, started to join circles of people who were also interested in mathematics, and stumbled across some good fortune by meeting a government official called Ramaswamy Aiyer, who had founded the Indian Mathematical Society.Â

[00:07:07] Aiyer was amazed at the work that Ramanujan had done, and was still doing, and put him in touch with another of his mathematical friends, a man called Ramachandra Rao.Â

[00:07:20] Rao initially couldnât believe that the work was real, and thought that Ramanujan must be a **fraud**.Â

[00:07:29] It was only after talking to him, and witnessing his genius that he was persuaded that Ramanujan was **the real deal**, and offered him a job at the Port of Madras as an accounting **clerk**.

[00:07:44] An accounting **clerk** was, essentially, a human calculator, and Ramanujan, who had **dazzled** his school friends by being able to **recite** Pi to hundreds of digits, was an incredibly good human calculator.Â

[00:08:00] But of course, just doing calculations for the Port of Madras was a huge waste of Ramanujanâs talents.

[00:08:08] Luckily, he was able to continue his research, and he also met several other **keen** mathematicians, many of whom British **expats**, who soon realised that he had some special talents.

[00:08:21] The most important of these was a man called Francis Spring, an Irish engineer, who had been living in British India for most of his adult life. He recognised the genius of Ramanujan, put him in touch with other **expat** mathematicians, and started writing to mathematicians in the UK to see whether they were interested in the work that Ramanujan had been doing.

[00:08:48] Initially there wasnât much interest. Ramanujan was, after all, merely an accounting **clerk** for the Indian government.Â

[00:08:58] His theories were often **messy**, not as detailed as these professional academics were used to.

[00:09:05] You can understand why - Ramanujan was almost completely self-taught, he hadnât even completed university.

[00:09:13] On the 16th of January, 1913, Ramanujan **took it upon himself** to write to G.H. Hardy, a professor of mathematics at Trinity College, Cambridge, the most famous college of the most famous university for mathematics in the world.

[00:09:30] Hardy was **struck** by the contents of the letter.Â

[00:09:34] The theories proposed by Ramanujan were **astounding**, and he thought that if this was the sort of thing that this young man could come up with without any real support or help, just imagine what he might be capable of if he were allowed to come and continue his studies at a place like Cambridge.

[00:09:56] Ramanujan couldnât afford to leave, of course.Â

[00:09:59] He had an annual salary of around ÂŁ20, and there was no way he could ever be able to leave without external help.

[00:10:09] Hardy replied to the letter, saying âI was **exceedingly** interested by your letter and by the **theorems** which you stateâ, but that he wanted to see proof of Ramanujanâs theories.

[00:10:22] There was a bit of **back and forth**, a bit of an exchange of letters.Â

[00:10:27] Showing proofs was a bit of a problem for Ramanujan because he hadnât really been used to this way of working, and a lot of his research was through **intuition** - he just **instinctively** knew, or at least believed, something to be true.

[00:10:45] As this exchange of letters was happening, Hardy was trying to **set the wheels in motion** for Ramanujan to come to Cambridge.Â

[00:10:54] It wasnât easy though.Â

[00:10:56] Firstly, despite showing signs of being one of the best mathematical brains in the world, Ramanujan hadnât actually got an **undergraduate** degree. How could Cambridge give him a position as a **postgraduate** if he hadnât actually completed **undergraduate** university?

[00:11:16] The problems werenât just on the British side though. When the suggestion was raised of Ramanujan coming to Cambridge, he initially rejected it.Â

[00:11:26] His family were in India, his mother and his young wife.Â

[00:11:30] His religious beliefs also **prohibited** him from leaving India, and the idea of going to a country on the other side of the world was of course a big decision.

[00:11:42] Eventually, Ramanujan was persuaded, Cambridge offered him a **scholarship** for two years, and he set sail for London.

[00:11:51] Two weeks later, on April 14th 1914 he arrived, was picked up by Hardy and **whisked up** to Cambridge to begin his **postgraduate** studies.

[00:12:04] Life in Cambridge was, to state the obvious, a big change to Madras.Â

[00:12:09] From the evident cultural differences to the fact that Ramanujan was a strict vegetarian, adjusting to life at a British university took a while for this brilliant young man.

[00:12:22] Then, two months after he arrived, World War I broke out.Â

[00:12:27] Many of his fellow academics joined the war effort, and were sent off to be killed on the fields of Northern France.

[00:12:35] Ramanujan continued to **publish**, making **startling** discoveries.Â

[00:12:40] Now that he was attached to Cambridge University, doors were open that never were when he was a mere accounting clerk at the Port of Madras.Â

[00:12:49] He was taken seriously, and his reputation continued to grow.

[00:12:54] However, he had always suffered from bad health, likely due to a poor diet earlier on in life.

[00:13:02] In 1917 he fell very ill with a liver infection, thought to be caused by a **parasite** that had been with him since he left India.Â

[00:13:12] No British doctors could **diagnose** what was wrong with him, and this infection caused him great pain for months on end, making him depressed and even suicidal.

[00:13:25] Despite his sickness, he continued his research, publishing and publishing, and became a **Fellow**, a member, of something called the Royal Society, the countryâs top scientific society, in May 1918.

[00:13:40] He was still unwell though, and so traveled back to India in March 1919.Â

[00:13:48] He continued his studies from India, but unfortunately he died a year later, aged only 32.

[00:13:56] He left a huge **legacy** in the field of mathematics, and indeed many of his theories have only relatively recently come to be understood. He couldnât always prove them, but it seems that he had a rare ability for just knowing when something was right, even if he couldnât always understand why it was right.

[00:14:19] He has become the **poster boy** for Indian genius, and his story certainly is amazing, inspiring, **albeit** tragic in its end.

[00:14:30] So there you have it, Ramanujan, the boy from the town in South East India with an empty stomach so that he had enough money for paper who, **despite all the odds**, became one of the most famous mathematicians of the 20th century, and whose work has had and will have an impact for generations of mathematicians to come.

[00:14:52] Itâs a brilliant story, and who knows what he could have achieved if he had only lived just a little bit longer.

[00:15:01] OK then, that is it for today's episode on Srinivasa Ramanujan.

[00:15:06] I hope it's been an interesting one, and that you've learnt something new.

[00:15:10] If you are interested in mathematics, then there is obviously a huge amount of his work for you to read up on.Â

[00:15:17] I guess if youâre a mathematician you will know his story already, but as I was researching this episode I have to confess I did get quite **sidetracked** reading some of his work. It is, of course, fascinating.

[00:15:31] As always, I would love to know what you thought of this episode. You can head right in to our community forum, which is at community.leonardoenglish.com and get chatting away to other curious minds.

[00:15:43] You've been listening to English Learning for Curious Minds, by Leonardo English

[00:15:48] I'm Alastair Budge, you stay safe, and I'll catch you in the next episode.

Get immediate access to a more interesting way of improving your English

[00:00:00] Hello, hello hello, and welcome to English Learning for Curious Minds, by Leonardo English.Â

[00:00:11] The show where you can listen to fascinating stories, and learn weird and wonderful things about the world at the same time as improving your English.

[00:00:20] I'm Alastair Budge and today we are going to be talking about a fantastic mathematician, a man called Srinivasa Ramanujan.

[00:00:29] He was one of the most famous mathematicians of all time, and his story, from hunger and **starvation** in India through to the most **prestigious** of Cambridge colleges is fascinating and inspiring.

[00:00:43] So, letâs waste no time, and learn about the brilliant life of Ramanujan.

[00:00:50] At the end of January 1913 a mathematician at the University of Cambridge, the most **prestigious** university in the UK, if not the world, for mathematics, received a letter.

[00:01:04] He opened it up, and started reading. It began like this:

[00:01:10]Â

[00:01:10] dear Sir,

[00:01:11] I beg to introduce myself to you as a **clerk** in the Accounts Department of the Port Trust Office at Madras on a salary of only ÂŁ20 per **annum**. I am now about 23 years of age. I have had no University education but I have **undergone** the ordinary school course. After leaving school I have been employing the spare time **at my disposal** to work at Mathematics. I have not **trodden** through the conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of **divergent series** in general and the results I get are **termed** by the local mathematicians as "**startling**".

[00:02:03] The letter then continued to present some amazingly **profound** and interesting ideas about mathematics, about investigations that this young man had made, **proofs** that he was working on, and **startling** discoveries that he had found.

[00:02:20] The letter was signed S. Ramanujan, and it was **addressed** to G.H. Hardy, who was at the time one of the worldâs leading pure mathematicians.

[00:02:32] It was to be the start of an amazing relationship, an **enduring** friendship, and the discovery of one of the greatest mathematical geniuses of the 21st century.

[00:02:44] To understand Ramanujan though, we need to go a little back.Â

[00:02:49] He was only in his 20s when he wrote that letter, so we donât need to go back too far.

[00:02:55] Srinivasa Ramanujan was born on the 22nd of December 1887 in the town of Erode, in South East India.Â

[00:03:06] His father was an accounting **clerk**, and his mother sang at a local temple.Â

[00:03:12] His family were of the Brahmin **caste**, the Hindu **caste** of priests, and scholars.Â

[00:03:18] It was a high **caste**, but they were not rich by any standards.

[00:03:23] From an early age, Ramanujan showed a real gift for mathematics.Â

[00:03:28] By the age of 10 he was the top student in his class, and he soon spent every spare hour **devouring** the mathematics textbooks in his schoolâs library.

[00:03:40] By the age of 12, he was working his way through advanced mathematical ideas. It was clear that the boy was incredibly talented, but it was **by no means** obvious what this could lead to.

[00:03:54] When he was 16 he managed to get his hands on a copy of a book of mathematical theories from a Cambridge professor, a book that opened up a whole new world for Ramanujan.

[00:04:06] He was just a 16 year old boy from a poor family in a town in India, and this book gave him a view into some of the most advanced ideas in mathematics.

[00:04:19] The book laid out some of the main theories of the day, which we wonât go into because they are obviously very complicated and this is an episode about the humans behind the story, rather than the mathematics.Â

[00:04:33] But the point is that, with mathematical research, you need to show the proof of why something is true.Â

[00:04:41] The book that Ramanujan found only showed the theories, and so he understandably thought that that was how you did mathematics.

[00:04:52] So when it came to the letter he was later to send Hardy, he sent his mathematical theories without proof, in the same style of the book that he had found when he was 16.

[00:05:03] Anyway, to get back to our story, Ramanujan quickly started working on his own mathematical ideas. He wasnât content to merely understand what others had found, he was working on his own problems, his own mathematical theories.

[00:05:20] He was too poor to afford much pen and paper though, so he would do most of his work on **slate** with chalk - a **slate** is a kind of rock - and then he only wrote on pen and paper when he had actually figured something out.

[00:05:38] As he was clearly a genius, not just âtop of his classâ but really âin a different leagueâ, he won a **scholarship** to a Government Arts College.Â

[00:05:48] However, he **devoted** all of his attention to mathematics, which meant that he failed his non-mathematical exams, and ended up losing his **scholarship**.Â

[00:06:00] He transferred to what was then Madras, and is now called Chennai, to **enrol** in another college, but again he failed his non-mathematical exams.

[00:06:11] He was miserably poor, and had completely devoted himself to the study of mathematics. Every last piece of money he had he used to pay for pen and paper, and he was said to be constantly hungry.

[00:06:28] Nevertheless, he was making **substantial** mathematical developments, despite working almost completely on his own, thousands of miles away from the centres of mathematical **scholarship** in Europe and North America.

[00:06:42] By 1910 or so, when he was 23, he found some **odd jobs** as a mathematics tutor, started to join circles of people who were also interested in mathematics, and stumbled across some good fortune by meeting a government official called Ramaswamy Aiyer, who had founded the Indian Mathematical Society.Â

[00:07:07] Aiyer was amazed at the work that Ramanujan had done, and was still doing, and put him in touch with another of his mathematical friends, a man called Ramachandra Rao.Â

[00:07:20] Rao initially couldnât believe that the work was real, and thought that Ramanujan must be a **fraud**.Â

[00:07:29] It was only after talking to him, and witnessing his genius that he was persuaded that Ramanujan was **the real deal**, and offered him a job at the Port of Madras as an accounting **clerk**.

[00:07:44] An accounting **clerk** was, essentially, a human calculator, and Ramanujan, who had **dazzled** his school friends by being able to **recite** Pi to hundreds of digits, was an incredibly good human calculator.Â

[00:08:00] But of course, just doing calculations for the Port of Madras was a huge waste of Ramanujanâs talents.

[00:08:08] Luckily, he was able to continue his research, and he also met several other **keen** mathematicians, many of whom British **expats**, who soon realised that he had some special talents.

[00:08:21] The most important of these was a man called Francis Spring, an Irish engineer, who had been living in British India for most of his adult life. He recognised the genius of Ramanujan, put him in touch with other **expat** mathematicians, and started writing to mathematicians in the UK to see whether they were interested in the work that Ramanujan had been doing.

[00:08:48] Initially there wasnât much interest. Ramanujan was, after all, merely an accounting **clerk** for the Indian government.Â

[00:08:58] His theories were often **messy**, not as detailed as these professional academics were used to.

[00:09:05] You can understand why - Ramanujan was almost completely self-taught, he hadnât even completed university.

[00:09:13] On the 16th of January, 1913, Ramanujan **took it upon himself** to write to G.H. Hardy, a professor of mathematics at Trinity College, Cambridge, the most famous college of the most famous university for mathematics in the world.

[00:09:30] Hardy was **struck** by the contents of the letter.Â

[00:09:34] The theories proposed by Ramanujan were **astounding**, and he thought that if this was the sort of thing that this young man could come up with without any real support or help, just imagine what he might be capable of if he were allowed to come and continue his studies at a place like Cambridge.

[00:09:56] Ramanujan couldnât afford to leave, of course.Â

[00:09:59] He had an annual salary of around ÂŁ20, and there was no way he could ever be able to leave without external help.

[00:10:09] Hardy replied to the letter, saying âI was **exceedingly** interested by your letter and by the **theorems** which you stateâ, but that he wanted to see proof of Ramanujanâs theories.

[00:10:22] There was a bit of **back and forth**, a bit of an exchange of letters.Â

[00:10:27] Showing proofs was a bit of a problem for Ramanujan because he hadnât really been used to this way of working, and a lot of his research was through **intuition** - he just **instinctively** knew, or at least believed, something to be true.

[00:10:45] As this exchange of letters was happening, Hardy was trying to **set the wheels in motion** for Ramanujan to come to Cambridge.Â

[00:10:54] It wasnât easy though.Â

[00:10:56] Firstly, despite showing signs of being one of the best mathematical brains in the world, Ramanujan hadnât actually got an **undergraduate** degree. How could Cambridge give him a position as a **postgraduate** if he hadnât actually completed **undergraduate** university?

[00:11:16] The problems werenât just on the British side though. When the suggestion was raised of Ramanujan coming to Cambridge, he initially rejected it.Â

[00:11:26] His family were in India, his mother and his young wife.Â

[00:11:30] His religious beliefs also **prohibited** him from leaving India, and the idea of going to a country on the other side of the world was of course a big decision.

[00:11:42] Eventually, Ramanujan was persuaded, Cambridge offered him a **scholarship** for two years, and he set sail for London.

[00:11:51] Two weeks later, on April 14th 1914 he arrived, was picked up by Hardy and **whisked up** to Cambridge to begin his **postgraduate** studies.

[00:12:04] Life in Cambridge was, to state the obvious, a big change to Madras.Â

[00:12:09] From the evident cultural differences to the fact that Ramanujan was a strict vegetarian, adjusting to life at a British university took a while for this brilliant young man.

[00:12:22] Then, two months after he arrived, World War I broke out.Â

[00:12:27] Many of his fellow academics joined the war effort, and were sent off to be killed on the fields of Northern France.

[00:12:35] Ramanujan continued to **publish**, making **startling** discoveries.Â

[00:12:40] Now that he was attached to Cambridge University, doors were open that never were when he was a mere accounting clerk at the Port of Madras.Â

[00:12:49] He was taken seriously, and his reputation continued to grow.

[00:12:54] However, he had always suffered from bad health, likely due to a poor diet earlier on in life.

[00:13:02] In 1917 he fell very ill with a liver infection, thought to be caused by a **parasite** that had been with him since he left India.Â

[00:13:12] No British doctors could **diagnose** what was wrong with him, and this infection caused him great pain for months on end, making him depressed and even suicidal.

[00:13:25] Despite his sickness, he continued his research, publishing and publishing, and became a **Fellow**, a member, of something called the Royal Society, the countryâs top scientific society, in May 1918.

[00:13:40] He was still unwell though, and so traveled back to India in March 1919.Â

[00:13:48] He continued his studies from India, but unfortunately he died a year later, aged only 32.

[00:13:56] He left a huge **legacy** in the field of mathematics, and indeed many of his theories have only relatively recently come to be understood. He couldnât always prove them, but it seems that he had a rare ability for just knowing when something was right, even if he couldnât always understand why it was right.

[00:14:19] He has become the **poster boy** for Indian genius, and his story certainly is amazing, inspiring, **albeit** tragic in its end.

[00:14:30] So there you have it, Ramanujan, the boy from the town in South East India with an empty stomach so that he had enough money for paper who, **despite all the odds**, became one of the most famous mathematicians of the 20th century, and whose work has had and will have an impact for generations of mathematicians to come.

[00:14:52] Itâs a brilliant story, and who knows what he could have achieved if he had only lived just a little bit longer.

[00:15:01] OK then, that is it for today's episode on Srinivasa Ramanujan.

[00:15:06] I hope it's been an interesting one, and that you've learnt something new.

[00:15:10] If you are interested in mathematics, then there is obviously a huge amount of his work for you to read up on.Â

[00:15:17] I guess if youâre a mathematician you will know his story already, but as I was researching this episode I have to confess I did get quite **sidetracked** reading some of his work. It is, of course, fascinating.

[00:15:31] As always, I would love to know what you thought of this episode. You can head right in to our community forum, which is at community.leonardoenglish.com and get chatting away to other curious minds.

[00:15:43] You've been listening to English Learning for Curious Minds, by Leonardo English

[00:15:48] I'm Alastair Budge, you stay safe, and I'll catch you in the next episode.

[00:00:00] Hello, hello hello, and welcome to English Learning for Curious Minds, by Leonardo English.Â

[00:00:11] The show where you can listen to fascinating stories, and learn weird and wonderful things about the world at the same time as improving your English.

[00:00:20] I'm Alastair Budge and today we are going to be talking about a fantastic mathematician, a man called Srinivasa Ramanujan.

[00:00:29] He was one of the most famous mathematicians of all time, and his story, from hunger and **starvation** in India through to the most **prestigious** of Cambridge colleges is fascinating and inspiring.

[00:00:43] So, letâs waste no time, and learn about the brilliant life of Ramanujan.

[00:00:50] At the end of January 1913 a mathematician at the University of Cambridge, the most **prestigious** university in the UK, if not the world, for mathematics, received a letter.

[00:01:04] He opened it up, and started reading. It began like this:

[00:01:10]Â

[00:01:10] dear Sir,

[00:01:11] I beg to introduce myself to you as a **clerk** in the Accounts Department of the Port Trust Office at Madras on a salary of only ÂŁ20 per **annum**. I am now about 23 years of age. I have had no University education but I have **undergone** the ordinary school course. After leaving school I have been employing the spare time **at my disposal** to work at Mathematics. I have not **trodden** through the conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of **divergent series** in general and the results I get are **termed** by the local mathematicians as "**startling**".

[00:02:03] The letter then continued to present some amazingly **profound** and interesting ideas about mathematics, about investigations that this young man had made, **proofs** that he was working on, and **startling** discoveries that he had found.

[00:02:20] The letter was signed S. Ramanujan, and it was **addressed** to G.H. Hardy, who was at the time one of the worldâs leading pure mathematicians.

[00:02:32] It was to be the start of an amazing relationship, an **enduring** friendship, and the discovery of one of the greatest mathematical geniuses of the 21st century.

[00:02:44] To understand Ramanujan though, we need to go a little back.Â

[00:02:49] He was only in his 20s when he wrote that letter, so we donât need to go back too far.

[00:02:55] Srinivasa Ramanujan was born on the 22nd of December 1887 in the town of Erode, in South East India.Â

[00:03:06] His father was an accounting **clerk**, and his mother sang at a local temple.Â

[00:03:12] His family were of the Brahmin **caste**, the Hindu **caste** of priests, and scholars.Â

[00:03:18] It was a high **caste**, but they were not rich by any standards.

[00:03:23] From an early age, Ramanujan showed a real gift for mathematics.Â

[00:03:28] By the age of 10 he was the top student in his class, and he soon spent every spare hour **devouring** the mathematics textbooks in his schoolâs library.

[00:03:40] By the age of 12, he was working his way through advanced mathematical ideas. It was clear that the boy was incredibly talented, but it was **by no means** obvious what this could lead to.

[00:03:54] When he was 16 he managed to get his hands on a copy of a book of mathematical theories from a Cambridge professor, a book that opened up a whole new world for Ramanujan.

[00:04:06] He was just a 16 year old boy from a poor family in a town in India, and this book gave him a view into some of the most advanced ideas in mathematics.

[00:04:19] The book laid out some of the main theories of the day, which we wonât go into because they are obviously very complicated and this is an episode about the humans behind the story, rather than the mathematics.Â

[00:04:33] But the point is that, with mathematical research, you need to show the proof of why something is true.Â

[00:04:41] The book that Ramanujan found only showed the theories, and so he understandably thought that that was how you did mathematics.

[00:04:52] So when it came to the letter he was later to send Hardy, he sent his mathematical theories without proof, in the same style of the book that he had found when he was 16.

[00:05:03] Anyway, to get back to our story, Ramanujan quickly started working on his own mathematical ideas. He wasnât content to merely understand what others had found, he was working on his own problems, his own mathematical theories.

[00:05:20] He was too poor to afford much pen and paper though, so he would do most of his work on **slate** with chalk - a **slate** is a kind of rock - and then he only wrote on pen and paper when he had actually figured something out.

[00:05:38] As he was clearly a genius, not just âtop of his classâ but really âin a different leagueâ, he won a **scholarship** to a Government Arts College.Â

[00:05:48] However, he **devoted** all of his attention to mathematics, which meant that he failed his non-mathematical exams, and ended up losing his **scholarship**.Â

[00:06:00] He transferred to what was then Madras, and is now called Chennai, to **enrol** in another college, but again he failed his non-mathematical exams.

[00:06:11] He was miserably poor, and had completely devoted himself to the study of mathematics. Every last piece of money he had he used to pay for pen and paper, and he was said to be constantly hungry.

[00:06:28] Nevertheless, he was making **substantial** mathematical developments, despite working almost completely on his own, thousands of miles away from the centres of mathematical **scholarship** in Europe and North America.

[00:06:42] By 1910 or so, when he was 23, he found some **odd jobs** as a mathematics tutor, started to join circles of people who were also interested in mathematics, and stumbled across some good fortune by meeting a government official called Ramaswamy Aiyer, who had founded the Indian Mathematical Society.Â

[00:07:07] Aiyer was amazed at the work that Ramanujan had done, and was still doing, and put him in touch with another of his mathematical friends, a man called Ramachandra Rao.Â

[00:07:20] Rao initially couldnât believe that the work was real, and thought that Ramanujan must be a **fraud**.Â

[00:07:29] It was only after talking to him, and witnessing his genius that he was persuaded that Ramanujan was **the real deal**, and offered him a job at the Port of Madras as an accounting **clerk**.

[00:07:44] An accounting **clerk** was, essentially, a human calculator, and Ramanujan, who had **dazzled** his school friends by being able to **recite** Pi to hundreds of digits, was an incredibly good human calculator.Â

[00:08:00] But of course, just doing calculations for the Port of Madras was a huge waste of Ramanujanâs talents.

[00:08:08] Luckily, he was able to continue his research, and he also met several other **keen** mathematicians, many of whom British **expats**, who soon realised that he had some special talents.

[00:08:21] The most important of these was a man called Francis Spring, an Irish engineer, who had been living in British India for most of his adult life. He recognised the genius of Ramanujan, put him in touch with other **expat** mathematicians, and started writing to mathematicians in the UK to see whether they were interested in the work that Ramanujan had been doing.

[00:08:48] Initially there wasnât much interest. Ramanujan was, after all, merely an accounting **clerk** for the Indian government.Â

[00:08:58] His theories were often **messy**, not as detailed as these professional academics were used to.

[00:09:05] You can understand why - Ramanujan was almost completely self-taught, he hadnât even completed university.

[00:09:13] On the 16th of January, 1913, Ramanujan **took it upon himself** to write to G.H. Hardy, a professor of mathematics at Trinity College, Cambridge, the most famous college of the most famous university for mathematics in the world.

[00:09:30] Hardy was **struck** by the contents of the letter.Â

[00:09:34] The theories proposed by Ramanujan were **astounding**, and he thought that if this was the sort of thing that this young man could come up with without any real support or help, just imagine what he might be capable of if he were allowed to come and continue his studies at a place like Cambridge.

[00:09:56] Ramanujan couldnât afford to leave, of course.Â

[00:09:59] He had an annual salary of around ÂŁ20, and there was no way he could ever be able to leave without external help.

[00:10:09] Hardy replied to the letter, saying âI was **exceedingly** interested by your letter and by the **theorems** which you stateâ, but that he wanted to see proof of Ramanujanâs theories.

[00:10:22] There was a bit of **back and forth**, a bit of an exchange of letters.Â

[00:10:27] Showing proofs was a bit of a problem for Ramanujan because he hadnât really been used to this way of working, and a lot of his research was through **intuition** - he just **instinctively** knew, or at least believed, something to be true.

[00:10:45] As this exchange of letters was happening, Hardy was trying to **set the wheels in motion** for Ramanujan to come to Cambridge.Â

[00:10:54] It wasnât easy though.Â

[00:10:56] Firstly, despite showing signs of being one of the best mathematical brains in the world, Ramanujan hadnât actually got an **undergraduate** degree. How could Cambridge give him a position as a **postgraduate** if he hadnât actually completed **undergraduate** university?

[00:11:16] The problems werenât just on the British side though. When the suggestion was raised of Ramanujan coming to Cambridge, he initially rejected it.Â

[00:11:26] His family were in India, his mother and his young wife.Â

[00:11:30] His religious beliefs also **prohibited** him from leaving India, and the idea of going to a country on the other side of the world was of course a big decision.

[00:11:42] Eventually, Ramanujan was persuaded, Cambridge offered him a **scholarship** for two years, and he set sail for London.

[00:11:51] Two weeks later, on April 14th 1914 he arrived, was picked up by Hardy and **whisked up** to Cambridge to begin his **postgraduate** studies.

[00:12:04] Life in Cambridge was, to state the obvious, a big change to Madras.Â

[00:12:09] From the evident cultural differences to the fact that Ramanujan was a strict vegetarian, adjusting to life at a British university took a while for this brilliant young man.

[00:12:22] Then, two months after he arrived, World War I broke out.Â

[00:12:27] Many of his fellow academics joined the war effort, and were sent off to be killed on the fields of Northern France.

[00:12:35] Ramanujan continued to **publish**, making **startling** discoveries.Â

[00:12:40] Now that he was attached to Cambridge University, doors were open that never were when he was a mere accounting clerk at the Port of Madras.Â

[00:12:49] He was taken seriously, and his reputation continued to grow.

[00:12:54] However, he had always suffered from bad health, likely due to a poor diet earlier on in life.

[00:13:02] In 1917 he fell very ill with a liver infection, thought to be caused by a **parasite** that had been with him since he left India.Â

[00:13:12] No British doctors could **diagnose** what was wrong with him, and this infection caused him great pain for months on end, making him depressed and even suicidal.

[00:13:25] Despite his sickness, he continued his research, publishing and publishing, and became a **Fellow**, a member, of something called the Royal Society, the countryâs top scientific society, in May 1918.

[00:13:40] He was still unwell though, and so traveled back to India in March 1919.Â

[00:13:48] He continued his studies from India, but unfortunately he died a year later, aged only 32.

[00:13:56] He left a huge **legacy** in the field of mathematics, and indeed many of his theories have only relatively recently come to be understood. He couldnât always prove them, but it seems that he had a rare ability for just knowing when something was right, even if he couldnât always understand why it was right.

[00:14:19] He has become the **poster boy** for Indian genius, and his story certainly is amazing, inspiring, **albeit** tragic in its end.

[00:14:30] So there you have it, Ramanujan, the boy from the town in South East India with an empty stomach so that he had enough money for paper who, **despite all the odds**, became one of the most famous mathematicians of the 20th century, and whose work has had and will have an impact for generations of mathematicians to come.

[00:14:52] Itâs a brilliant story, and who knows what he could have achieved if he had only lived just a little bit longer.

[00:15:01] OK then, that is it for today's episode on Srinivasa Ramanujan.

[00:15:06] I hope it's been an interesting one, and that you've learnt something new.

[00:15:10] If you are interested in mathematics, then there is obviously a huge amount of his work for you to read up on.Â

[00:15:17] I guess if youâre a mathematician you will know his story already, but as I was researching this episode I have to confess I did get quite **sidetracked** reading some of his work. It is, of course, fascinating.

[00:15:31] As always, I would love to know what you thought of this episode. You can head right in to our community forum, which is at community.leonardoenglish.com and get chatting away to other curious minds.

[00:15:43] You've been listening to English Learning for Curious Minds, by Leonardo English

[00:15:48] I'm Alastair Budge, you stay safe, and I'll catch you in the next episode.