×

UPSC Courses

DNA banner

DAILY NEWS ANALYSIS

  • 22 December, 2020

  • 9 Min Read

Achievements of Indians in S&T – S Ramanujan's Birth Anniversary

Achievements of Indians in S&T – S Ramanujan

S Ramanujan (1887 - 1920) was an Indian mathematician who lived during the British Rule in India. He was born on 22 December, 1887. Ramanujan was extremely intelligent and had also built a vast knowledge in subjects besides mathematics. He was self taught and had no formal training in Mathematics. He attained distinctions among his peers in arithmetic, English, geography, and Tamil in 1897.

Ramanujam made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions and infinite 1900 he began to work on his own on mathematics summing geometric and arithmetic series.

He compiled as many as 3900 results and identities in his lifetime. The most important contributions were to mathematical analysis, number theory, infinite series, and continued fractions.

His work on Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta functions continue to open new areas of research.

Among the most famous are Ramanujan Number- also called the magic number which is 1729. It is the smallest number that can be expressed as a sum of cubes of two different sets of numbers. Ramanuja Square is another mathematical puzzle that enthralls all.

A self-taught mathematician who made extraordinary contributions, S Ramanujan was one of the most influential mathematicians of his time.

He worked on divergent series. He sent 120 theorems on imply divisibility properties of the partition function.

He gave a meaning to eulerian second integral for all values of n (negative, positive and fractional). He proved that the integral of xn-1 e-7= ¡ (gamma) is true for all values of gamma.

Goldbach’s conjecture: Goldbach’s conjecture is one of the important illustrations of ramanujan contribution towards the proof of the conjecture. The statement is every even integer greater that two is the sum of two primes, that is, 6=3+3 : Ramanujan and his associates had shown that every large integer could be written as the sum of at most four (Example: 43=2+5+17+19).

Journal of the Indian mathematical society: Ramanujan continued to develop his mathematical ideas and began to pose problems and solve problems in the journal of the Indian mathematical society. He developed relations between elliptic modular equations in 1910.

Besides his published work, ramanujan left behind several notebooks filled with theorems that mathematicians have continued to study. The English Mathematician G.N Watson, from 1918 to 1951, published 14 papers under the general title theorems stated by Ramanujan and in all he published nearly 30 papers which were inspired by ramanjan work. In 1997 ramanujan journal was launched to publish work in areas mathematics influenced by Ramanujan”.

Ramanujan returned to India in 1919 and a year later, he breathed his last at the age of 32. Ramanujan passed away after a long battle with tuberculosis. Many of his mathematical theorems are still in use today.

Source: TH


Pradhan Mantri Suryodaya Yojana

Recently, Prime Minister announced Pradhan Mantri Suryodaya Yojana under which 1 crore households will get rooftop solar power systems. India’s Status of Current Solar Capacity India currently stands at 4th place globally in solar power capacity. As per Ministry of New an

Foreign Contribution Regulation Act (FCRA)- NGO 

The Foreign Contribution Regulation Act, 2010 (FCRA) registration of two prominent non-governmental organisations (NGOs) — Centre for Policy Research (CPR) and World Vision India (WVI) have been cancelled this month. What is FCRA? Key provisions of FCRA, 2010 Key aspects Description

Voice clone-AI

Voice clone fraud has been on the rise in India. AI voice cloning – It is the process of creating a synthetic replica of a person’s voice through machine learning and speech synthesis technology.It is called as voice deepfakesor audio deepfakes. Objective – To achieve a high level of na

Science communication- how to promote

Steps taken by India to promote Science Communication Publications and Information Directorate (PID) - An organisation under Council of Science and Industrial Research (CSIR) established in 1951 for publishing and disseminating scientific information in India. National science magazines- The PI

Universal Basic Income (UBI)- Analysis

Universal Basic Income (UBI) can strengthen welfare architecture and unlock the nation’s latent demographic potential. UBI - It is an income support mechanism typically intended to reach all or a very large portion of the population regardless of their earnings or employment status. Objective- To provide enough to co

Toppers

Search By Date

Newsletter Subscription
SMS Alerts

Important Links