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Brahmagupta CE — CE was one of the most important and influential mathematicians and astronomers of ancient India. He was born in Bhinmal, a town in the Jalore district of modern-day Rajasthan. His works laid the foundation for many later developments in mathematics, not only in India but across the world, influencing scholars in the Islamic world and, later, Europe.

Brahmagupta is renowned for his pioneering contributions to both mathematics and astronomy, making him a towering figure in the history of these fields. Algebra and Arithmetic : He developed systematic rules for manipulating positive and negative numbers, solving linear and quadratic equations, and working with zero. His introduction of zero as both a number and a placeholder in calculations marked a major advance in mathematics, though it took centuries to be widely adopted.

Concept of Zero : One of Brahmagupta's most famous contributions is his work on zero. He defined zero in his works and formulated rules for arithmetic involving zero. This was a revolutionary development, as no previous mathematician had laid out clear rules for zero in the way Brahmagupta did.

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For instance, he stated that "zero multiplied by any number is zero," among other rules. However, his treatment of division by zero was incomplete and still led to ambiguities. Cyclic Quadrilaterals : Brahmagupta's work on cyclic quadrilaterals quadrilaterals inscribed in a circle is another major contribution. This formula states that the area of a cyclic quadrilateral can be calculated using the lengths of its sides:.

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Geometric Progressions : He was one of the early mathematicians to work with geometric progressions, which would play a crucial role in various areas of mathematics, including finance and physics. In addition to mathematics, Brahmagupta was a leading astronomer of his time. He made many observations about the motion of celestial bodies, solar and lunar eclipses, and planetary positions.