INDIAN SCIENCE

INDIAN SCIENCE :



 


Maharshi Kanada – The propunder of Atomic Theory[600 BCE]

Maharshi Kanada was ancient Indian scientist, sage and philosopher who founded the philosophical school of  Vaisesika and authored the text Vaisesika Sutras or AphorismsHe pioneered atomic theory, described dimension, motion, chemical reactions of atoms.

Aryabhata -the line of great mathematician             (476-550CE)


Aryabhata is the author of several treatises on mathematics and astronomy, some of which are lost.

His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the Aryabhatiya covers arithmeticalgebraplane trigonometry, and spherical trigonometry. It also contains continued fractionsquadratic equations, sums-of-power series, and a table of sines.

Srinivasa Ramanujan(1887-1920)


Ramanujan's friend, C. V. Rajagopalachari, persisted with Ramachandra Rao and tried to quell any doubts over Ramanujan's academic integrity. Rao agreed to give him another chance, and he listened as Ramanujan discussed elliptic integralshypergeometric series, and his theory of divergent series, which Rao said ultimately "converted" him to a belief in Ramanujan's mathematical brilliance.[41] When Rao asked him what he wanted, Ramanujan replied that he needed some work and financial support. Rao consented and sent him to Madras. He continued his mathematical research with Rao's financial aid taking care of his daily needs. Ramanujan, with the help of Ramaswamy Aiyer, had his work published in the Journal of the Indian Mathematical Society.[42]

One of the first problems he posed in the journal was:
\sqrt{1+2\sqrt{1+3 \sqrt{1+\cdots}}}.
He waited for a solution to be offered in three issues, over six months, but failed to receive any. At the end, Ramanujan supplied the solution to the problem himself. On page 105 of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem.
x+n+a = \sqrt{ax+(n+a)^2 +x\sqrt{a(x+n)+(n+a)^2+(x+n) \sqrt{\cdots}}}
Using this equation, the answer to the question posed in the Journal was simply 3.[43] Ramanujan wrote his first formal paper for the Journal on the properties of Bernoulli numbers. One property he discovered was that the denominators (sequence A027642 in OEIS) of the fractions of Bernoulli numbers were always divisible by six. He also devised a method of calculating Bn based on previous Bernoulli numbers. One of these methods went as follows:
It will be observed that if n is even but not equal to zero,
(i) Bn is a fraction and the numerator of {B_n \over n} in its lowest terms is a prime number,
(ii) the denominator of Bn contains each of the factors 2 and 3 once and only once,
(iii) 2^n(2^n-1){b_n \over n} is an integer and 2(2^n-1)B_n\, consequently is an odd integer.
In his 17-page paper, "Some Properties of Bernoulli's Numbers", Ramanujan gave three proofs, two corollaries and three conjectures.[44] Ramanujan's writing initially had many flaws. As Journal editor M. T. Narayana Iyengar noted:

Satyendra Nath Bose-Specialising in mathematical physics(1894-1974)

 He is best known for his work onquantum mechanics in the early 1920s, providing the foundation for Bose–Einstein statistics and the theory of the Bose–Einstein condensate. A Fellow of the Royal Society, he was awarded India's second highest civilian award, the Padma Vibhushan in 1954 by the Government of India

Einstein adopted the idea and extended it to atoms. This led to the prediction of the existence of phenomena which became known as Bose–Einstein condensate, a dense collection of bosons (which are particles with integer spin, named after Bose), which was demonstrated to exist by experiment in 1995. Although several Nobel Prizes were awarded for research related to the concepts of the bosonBose–Einstein statistics and Bose–Einstein condensate, Bose himself was not awarded a Nobel Prize.

Jagadish Chandra Bose

Sir Jagadish Chandra Bose was born in MymensinghBengal Presidency, (present day Bangladesh)[10] on 30 November 1858. His father, Bhagawan Chandra Bose, was a Brahmo and leader of the Brahmo Samaj and worked as a deputy magistrate/ assistant commissioner in Faridpur,[11] Bardhaman and other places

The Scottish theoretical physicist James Clerk Maxwell mathematically predicted the existence of electromagnetic radiation of diverse wavelengths, but he died in 1879 before his prediction was experimentally verified. Between 1886 and 1888 German physicist Heinrich Hertz published the results of his experiments that showed the existence of electromagnetic waves in free space. Subsequently, British physicist Oliver Lodge, who had also been researching electromagnetic, conducted a commemorative lecture in August 1894 (after Hertz's death) on the quasi optical nature of "Hertzian waves" (radio waves) and demonstrated their similarity to light and vision including reflection and transmission at distances up to 50 meters. Lodge's work was published it in book form and caught the attention of scientists in different countries including Bose in India

No comments:

Post a Comment