Bhaskara I – A Indian Mathematician

Bhaskara  was a indian mathematician, who was the first one to represent numbers in the Hindu decimal system with a circle for the zero. He was born saurastra ( today Gujarat ) India and died in Ashmaka, Andhra Pradesh, India. He received his astronomical education from his father. He and Brahmagupta are two of the most renowned Indian mathematicians who made considerable contributions to the study of fractions. He was a follower of Aryabhata I.

Bhaskara I wrote two astronomical works, the Mahabhaskariya (Great book of Bhaskara ) and the Laghubhaskariya ( Small book of Bhaskara ) in the line of Aryabhata’s schoo. He also wrote commentary, Aryabhaṭiyabhasya – a commentary on Aryabhata I.

The Mahabhaskariya is an eight chapter work on Indian mathematical astronomy.Which include the longitudes of the planets, conjunctions of the planets with each other and with bright stars, eclipses of the sun and the moon, risings and settings, and the lunar crescent. Laghubhaskaraiya is the abridged version of author’s earlier work.

His work Mahabhaskariya divides into eight chapters about mathematical astronomy. In this book, he gives a approximation formula for sin x, that leads to a maximum error of less than one percent. The formula is

sin x = 16x (π – x)/[5π2 – 4x (π – x)]

Bhaskara I also asked for the solutions of the Pell equation. He posed the problem: Tell me, O mathematician, what is that square which multiplied by 8 becomes – together with unity – a square?“, Which is Pell Equation ( 8x² + 1 = y² ) .

Thus the works of Bhaskar I is regarded with honour in among the Ancient Hindu Astronomy which has been widely referred in the south of Indian Subcontinent.

 

 

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