# IASbhai Daily Editorial Hunt | 22nd Dec

“Happiness is not something readymade. It comes from your own actions.” – Dalai Lama

##### Dear Aspirants**IASbhai Editorial Hunt** is an initiative to dilute major Editorials of leading Newspapers in India which are most relevant to UPSC preparation –**‘THE HINDU, LIVEMINT , INDIAN EXPRESS’** and help millions of readers who find difficulty in answer writing and making notes everyday. Here we choose two editorials on daily basis and analyse them with respect to **UPSC MAINS 2020-21**.

**IASbhai Editorial Hunt**is an initiative to dilute major Editorials of leading Newspapers in India which are most relevant to UPSC preparation –

**‘THE HINDU, LIVEMINT , INDIAN EXPRESS’**and help millions of readers who find difficulty in answer writing and making notes everyday. Here we choose two editorials on daily basis and analyse them with respect to

**UPSC MAINS 2020-21**.

**EDITORIAL HUNT #282 :****“The greatness of Srinivasa Ramanujan | UPSC****”**

###### The greatness of Srinivasa Ramanujan | UPSC

Varahasimhan is a history of science enthusiast based in Chennai

** HEADLINES:**

The greatness of Srinivasa Ramanujan

** CENTRAL THEME:**

His works were diverse, original and transcended time; and all this while he surmounted many odds

SYLLABUS COVERED: GS 1 : Personality in News

** MAINS QUESTION:**

**Srinivasa Ramanujan was the only Indian mathematician whose achievements were realised far after 50 years of his death . Discuss -(GS 1)**

** LEARNING: **

- Solving the first problem
- Research in mathematics
- Mathematical seriousness
- Attributes of Success

** INTRODUCTION: **

**Srinivasa Ramanujan**was an**Indian mathematician**who lived during the**British Rule in India**.

**Though he had almost no formal training in pure mathematics, he made substantial contributions mathematical field.**

- He is known for his contributions in
**mathematical****analysis, number theory, infinite series, and continued fractions**, including solutions to mathematical problems then considered unsolvable. - One of the first problems he posed in the journal was to find the value of root:

** BODY: **

**RESEARCH AT A FEVERISH PITCH**

**RESEARCH AT A FEVERISH PITCH**

: Ramanujan, born on December 22, 1887 was an autodidact who*BORN MATHEMATICIAN***specialised in pure mathematics**.: While he*FOCAL POINT***excelled in mathematics**, he**neglected other subjects**and**could not complete his pre-university course**.

**By 1908 he gave up studies, but not his research in mathematics.**

: He struggled in poverty until in 1910, a benefactor,*POVERTY AT DOORSTEP***Ramachandra Rao**, district collector of Nellore, provided him**monthly allowance from his own pocket**so that Ramanujan could pursue research.: This would continue for a couple of years until Ramanujan managed to become a*SERVICE RECORDS***clerk at Madras Port Trust**.: He initiated contact with the British mathematician*PATRONS***G.H. Hardy**under whose insistence**Ramanujan travelled to England**in early 1914.

: His partnering with Hardy was productive: Ramanujan published more than*RESEARCH PAPERS***20 research papers**between 1914 and 1919.: During his stay, he was awarded a*DOCTORATE DEGREE***doctorate and made Fellow of Royal Society**.

**When he returned to India in 1919, he was “with a scientific standing and reputation such as no Indian has enjoyed before”.**

: Unfortunately he lived only a year after his return succumbing to illness which was diagnosed then as*DEMISES***tuberculosis**but now revised as**hepatic amoebiasis**.: Until he left for England in 1914, Ramanujan recorded his mathematical results, mostly equations, in his notebooks.There were three such**RECORDS****notebooks (preserved now)**.: One more was added when Ramanujan returned to India. Together there were about*DEEP INTUITION***4,000 results**.The results were the culmination of research backed by deep**intuition and insights**.: Ramanujan*PROOF OF HIS RESULTS***did not record proofs of his results**: that work would be taken up by future generations of mathematicians.

*MATHEMATICAL SERIOUSNESS*

*MATHEMATICAL SERIOUSNESS*

: The ‘seriousness’ of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the*THE SERIOUSNESS OF MATHEMATICS***mathematical ideas which it connects**.

: One such was ‘*RAMANUJAN CONJECTURE***Ramanujan conjecture**’ which he published in 1916 and was**proved in 1973 by Pierre Deligne**.: The conjecture inspired the development of theory of Galois representation that was employed in Andrew Wiles’ proof of*FERMAT’S THEOREM***Fermat’s last theorem**published in 1995.

*OTHER CONTRIBUTIONS*

*OTHER CONTRIBUTIONS*

- A few significant contributions were multiple
**formulae to calculate pi**with great accuracy to billions of digits (22/7 is only an approximation to pi)

**Partition functions (a partition is a way to represent a positive integer — for example, 1+1+1+1 is a partition of 4, 1+3 is another partition of 4, and so on)**

**Modular forms and hypergeometric series**(the terms in every consecutive pair in the series form rational functions).

*RECENT APPLICATIONS OF RAMANUJAN’S WORK*

*RECENT APPLICATIONS OF RAMANUJAN’S WORK*

- Ramanujan’s works and their extensions have found applications in
**signal processing to identify periodic information**, akin to**Fourier analysis.**

**Mock theta functions have found applications in the study of black holes in astrophysics.**

- For Ramanujan,
**mathematics was art.** - For Ramanujan, his
**mathematics was an end in itself.**

*HOW DID RAMANUJAN DEVELOP HIS MATHEMATICAL ABILITIES?*

*HOW DID RAMANUJAN DEVELOP HIS MATHEMATICAL ABILITIES?*

**With his memory, his patience and his power of calculation, he combined a power of generalisation.**

- He cultivated a feeling for form, a capacity for
**rapid modification**of his hypothesis, that were often really startling, and made him, in his own peculiar field, without a rival in his day.

** IASbhai Windup: **

**POWER OF INTUITION AND INSIGHT**

**POWER OF INTUITION AND INSIGHT**

- Let’s remember that Ramanujan was always precocious in his
**mathematical talent.** - By virtue of working alone on problems and theorems that were advanced for his age during adolescence, day after day, hour after hour, he developed an
**incredible power of intuition and insight**. - Ramanujan is remembered in
**many ways.**

**His birthday is celebrated as National Mathematics Day in India.**

- The Ramanujan Journal publishes advancements in the areas that Ramanujan contributed to.
- His home in Kumbakonam in Tamil Nadu has been converted to a museum by
**SASTRA University.** - It is that he was prolific and that his works were diverse, original and transcended time; and all this while he
**surmounted many odds coming from indigence.** - Ramanujan’s works, especially to mathematicians, are of
**enduring elegance**.

**“In small proportions we just beauties see; And in short measures life may perfect be” – ‘The Noble Nature,’ Ben Jonson**

** SOURCES: **** THE HINDU EDITORIAL HUNT | The greatness of Srinivasa Ramanujan | UPSC**

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