What is the contribution of Brahmagupta in mathematics?
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 are the contribution of Bhaskara in mathematics?
Mathematics. Some of Bhaskara’s contributions to mathematics include the following: A proof of the Pythagorean theorem by calculating the same area in two different ways and then cancelling out terms to get a2 + b2 = c2. In Lilavati, solutions of quadratic, cubic and quartic indeterminate equations are explained.
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.
What were his contributions to mathematics?
Ramanujan’s other notable contributions include hypergeometric series, the Riemann series, the elliptic integrals, the theory of divergent series, and the functional equations of the zeta function.
What are the works of Brahmagupta?
Brāhmasphuṭasiddhānta
KhandakhadyakaBrahmaguptaganitamThe Khandakhadyaka (an astronomical treatise) of Brahmagupta: with the commentary of Bhattotpala. Text and commentary
Brahmagupta/Books
He is the author of two early works on mathematics and astronomy: the Brāhmasphuṭasiddhānta (BSS, “correctly established doctrine of Brahma”, dated 628), a theoretical treatise, and the Khaṇḍakhādyaka (“edible bite”, dated 665), a more practical text. Brahmagupta was the first to give rules to compute with zero.
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 Bhaskara invention answer?
Brahmagupta in the 7th Century, developed an “Astronomical Model” using which Bhaskara was able to define “Astronomical Quantities”. He accurately calculated the time that earth took to revolve around the SUN as 365.2588 days that is a difference of 3.5Minutes of modern acceptance of 365.2563 days.
What is the meaning of Bijaganita?
Bijaganita (IAST: Bījagaṇita) was treatise on algebra by the Indian mathematician Bhāskara II. It is the second volume of his main work Siddhānta Shiromani (“Crown of treatises”) alongside Lilāvati, Grahaganita and Golādhyāya.
What did Brahmagupta create?
| Brahmagupta | |
|---|---|
| Died | c. 668 CE (aged c. 59–60) |
| Known for | Zero Modern number system Brahmagupta’s theorem Brahmagupta’s identity Brahmagupta’s problem Brahmagupta–Fibonacci identity Brahmagupta’s interpolation formula Brahmagupta’s formula |
| Scientific career | |
| Fields | Astronomy, mathematics |
What is India’s greatest contribution to mathematics?
The most important mathematical contribution of ancient India is the invention of the decimal system of numeration, including the number zero.
What is the first concept of math that appeared in its history?
The oldest mathematical texts from Mesopotamia and Egypt are from 2000 to 1800 BC. Many early texts mention Pythagorean triples and so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical concept after basic arithmetic and geometry.
What mathematical topic did Brahmagupta not work on?
His rules for arithmetic on negative numbers and zero are quite close to the modern understanding, except that in modern mathematics division by zero is left undefined.
What did Brahmagupta do for mathematics?
Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in The field of mathematics is incomplete without the generous contribution of an Indian mathematician named, Brahmagupta. Besides being a great.
What did Brahmagupta call multiplication gomutrika?
He called multiplication gomutrika in his Brahmasphutasiddhanta. His work was further explored by Bhāskara II who held Brahmagupta at an elevated position for his immense contribution to mathematics. His work was further simplified and added illustrations to by Prithudaka Svamin.
What was the name of the book written by brahmaagupta?
Brahmagupta wrote many textbooks for mathematics and astronomy while he was in Ujjain. These include ‘Durkeamynarda’ (672), ‘Khandakhadyaka’ (665), ‘Brahmasphutasiddhanta’ (628) and ‘Cadamakela’ (624). The ‘Brahmasphutasiddhanta’ meaning the ‘Corrected Treatise of Brahma’ is one of his well-known works.
How did Brahmagupta enumerate the properties of zero?
Brahmagupta enumerated the properties of zero as: Discovered the formula to solve quadratic equations. Discovered the value of pi ( 3.162….) almost accurately. He put the value 0.66% higher than the true value. ( 3.14) With calculations, he indicated that Earth is nearer to the moon than the sun.
