Tuesday, March 10, 2020

Indian Mathematicians And Their Contributions Essay Essay Example

Indian Mathematicians And Their Contributions Essay Essay Example Indian Mathematicians And Their Contributions Essay Essay Indian Mathematicians And Their Contributions Essay Essay Ramanujan He was born on 22na of December 1887 in a little small town of Tanjore territory. Madras. He failed in English in Intermediate. so his formal surveies were stopped but his self-study of mathematics continued. He sent a set of 120 theorems to Professor Hardy of Cambridge. As a consequence he invited Ramanujan to England. Ramanujan showed that any large figure can be written as amount of non more than four premier Numberss. He showed that how to split the figure into two or more squares or regular hexahedrons. when Mr Litlewood came to see Ramanujan in cab figure 1729. Ramanujan said that 1729 is the smallest figure which can be written in the signifier of amount of regular hexahedrons of two Numberss in two ways. i. e. 1729 = 93 + 103 = 13 + 123 since so the figure 1729 is called Ramanujan’s figure. In the 3rd century B. C. Archimedes noted that the ratio of perimeter of a circle to its diameter is changeless. The ratio is now called ‘pi ( ? ) ’ ( the 16th missive in the Greek alphabet series ) The largest Numberss the Greeks and the Romans used were 106 whereas Hindus used Numberss every bit large as 1053 with specific names every bit early as 5000 B. C. during the Vedic period. ARYABHATA Aryabhatta was born in 476A. D in Kusumpur. India. He was the first individual to state that Earth is spherical and it revolves around the Sun. He gave the expression ( a + B ) 2 = a2 + b2 + 2ab He taught the method of work outing the undermentioned jobs: BRAHMAGUPTA Brahma Gupta was born in 598A. D in Pakistan. He gave four methods of generation. He gave the undermentioned expression. used in G. P series a + Ar + ar2 + ar3 +†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦ . . + arn-1 = ( arn-1 ) ? ( r – 1 ) He gave the undermentioned expression: Area of a cyclic four-sided with side a. b. c. d= v ( s -a ) ( s- B ) ( s -c ) ( s- vitamin D ) where 2s = a + B + degree Celsius + d Length of its diagonals = SHAKUNTALA DEVI She was born in 1939 In 1980. she gave the merchandise of two. 13 digit Numberss within 28 seconds. many states have invited her to show her extraordinary endowment. In Dallas she competed with a computing machine to see who give the regular hexahedron root of 188138517 faster. she won. At university of USA she was asked to give the 23rd root of 91674867692003915809866092758538016248310668014430862240712651642793465704086709659 32792057674808067900227830163549248523803357453169351119035965775473400756818688305 620821016129132845564895780158806771. She answered in 50seconds. The reply is 546372891. It took a UNIVAC 1108 computing machine. full one minute ( 10 seconds more ) to corroborate that she was right after it was fed with 13000 instructions. Now she is known to be Human Computer. BHASKARACHARYA He was born in a small town of Mysore territory. He was the first to give that any figure divided by 0 gives eternity ( 00 ) . He has written a batch about nothing. voiceless consonants. substitution and combination. He wrote. â€Å"The centesimal portion of the perimeter of a circle seems to be straight. Our Earth is a large domain and that’s why it appears to be level. † He gave the expression like wickedness ( A  ± B ) = sinA. cosB  ± cosA. sinB