Introduction. Brahmagupta (ad 628) was the first mathematician to provide the formula for the area of a cyclic quadrilateral. His contributions to geometry are significant. He is the first person to discuss the method of finding a cyclic quadrilateral with rational sides.
What things did Brahmagupta contribute to science in India?
Brahmagupta was the foremost Indian mathematician of his time. He made advances in astronomy and most importantly in number systems including algorithms for square roots and the solution of quadratic equations.
What was Brahmagupta's biggest contribution to mathematics?
7. Brahmagupta's Formula. Brahmagupta's formula for the cyclic quadrilaterals is regarded as his most famous discovery in geometry. Given the sides of a cyclic quadrilateral, he provided an approximate and exact formula for the area of the cyclic quadrilateral.
What was the most significant input of Brahmagupta to mathematics?
One of the most significant input of Brahmagupta to mathematics was the introduction of 'zero' to the number system which stood for 'nothing'. His work the 'Brahmasphutasiddhanta' contained many mathematical findings written in verse form. It had many rules of arithmetic which is part of the mathematical solutions now.
Who invented zero first in India?
The first time we have a record of zero being understood as both a symbol and as a value in its own right was in India. About 650 AD the mathematician Brahmagupta, amongst others, used small dots under numbers to represent a zero. The dots were known as 'sunya', which means empty, as well as 'kha', which means place.
29 related questions foundWhat is the importance of zero?
0 (zero) is a number, and the numerical digit used to represent that number in numerals. It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems.
Who is the father of zero?
"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.
What observation did Brahmagupta work?
Brahmagupta's fame rests mostly on his Brahma-sphuta-siddhanta (628; “Correctly Established Doctrine of Brahma”), an astronomical work that he probably wrote while living in Bhillamala, then the capital of the Gurjara-Pratihara dynasty.
What is the theory of Brahmagupta?
In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side. It is named after the Indian mathematician Brahmagupta (598-668).
What is the contribution of Varahamihira?
Varāhamihira's most notable works were the Brihat Samhita, an encyclopedic work on architecture, temples, planetary motions, eclipses, timekeeping, astrology, seasons, cloud formation, rainfall, agriculture, mathematics, gemology, perfumes and many other topics.
What is the contribution of Harish Chandra in mathematics?
Harish Chandra was one of the most outstanding mathematicians of his generation, an algebraist and an analyst, and one of those who is responsible for Transforming the Infinite dimensional group re-presentation theory from a very modest topic on the periphery of the mathematics and physics into a very major field ...
Who is Brahmagupta and Aryabhata?
Aryabhatta predated Brahmagupta. Aryabhatta would live from 476 to 550 AD, whereas Brahmagupta lived from 597 to 668 AD. Both would leave an enormous legacy in the fields of mathematics and astronomy.
What is the title given to Brahmagupta?
Although Brahmagupta thought of himself as an astronomer who did some mathematics, he is now mainly remembered for his contributions to mathematics. He was honoured by the title given to him by a fellow scientist 'Ganita Chakra Chudamani' which is translated as 'The gem of the circle of mathematicians'.
What was the contribution of Brahmagupta in the field of maths and astronomy?
Brahmagupta (ad 628) was the first mathematician to provide the formula for the area of a cyclic quadrilateral. His contributions to geometry are significant. He is the first person to discuss the method of finding a cyclic quadrilateral with rational sides.
What is the conclusion of Brahmagupta?
He based his conclusion on the faulty premise that large buildings would fall down if this were true. Brahmagupta did, however, reject ancient Hindu ideas that the earth was flat or bowl-shaped; like ancient Greek thinkers, including Aristotle, he realized that it was a sphere.
How did Brahmagupta discover gravity?
Enter stage left, Brahmagupta who saw the apple fall from a tree in his garden over 1,000 years prior to Newton's rip-off discovery and went, 'Eureka, the apple fell from the tree in a straight, perpendicular line, drawn by the earth's core. I have discovered Gravity'.
What is the contribution of India in the field of astronomy?
Indian astronomy flowered in the 5th–6th century, with Aryabhata, whose work, Aryabhatiya, represented the pinnacle of astronomical knowledge at the time.
What is the contribution of ancient Indian scientists in the field of astronomy?
The discovery of zero also opened up a new dimension of negative numerals. As we have seen, the last two sections of Aryabhattiya were on Astronomy. Evidently, Aryabhatta contributed greatly to the field of science, too, particularly Astronomy. In ancient India, the science of astronomy was well advanced.
Who used 0 First?
The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.
Did Aryabhata invented zero?
Aryabhata is the first of the great astronomers of the classical age of India. He was born in 476 AD in Ashmaka but later lived in Kusumapura, which his commentator Bhaskara I (629 AD) identifies with Patilputra (modern Patna). Aryabhata gave the world the digit "0" (zero) for which he became immortal.
Is aryabhatta invented zero?
George Ifrah, a French Mathematician stated that the concept and understanding of zero as a 'digit' was first given by Aryabhata in his place value system because the counting system of digits is not possible without the place value system or zero.
What would happen if there was no zero?
Without zero there would be: No algebra, no arithmetic, no decimal, no accounts, no physical quantity to measure, no boundary between negative and positive numbers and most importantly- no computers!
Why is the decimal system important?
We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.
What is the concept of 0?
Scholars think it began with the concept of nothing as a placeholder while counting. This is how the Babylonians employed zeros some 4,000 years ago. When counting, they divided their numbers into columns, much as we do today, a concept called positional notation.
