Brahmagupta was an ancient Indian mathematician and astronomer who lived during the 6th and 7th centuries CE. He is considered one of the most significant figures in the history of Indian mathematics and made substantial contributions to various branches of mathematics and astronomy. Here are key aspects of Brahmagupta's life and work:

Brahmagupta was born in 598 CE in Bhinmal, a town in present-day Rajasthan, India. Not much is known about his personal life, but he likely lived during the Gupta dynasty, a period often referred to as the "Golden Age" of ancient Indian mathematics. Unfortunately, historical records about the personal life of Brahmagupta are limited, and not much is known about his personal details or experiences.

The primary source of information about Brahmagupta's life and contributions comes from his own writings, particularly his mathematical and astronomical treatise, the "Brahmasphutasiddhanta" meaning "The Opening of the Universe." This mathematical and astronomical treatise covers various topics, including arithmetic, algebra, geometry, and astronomy and provides insights into his mathematical genius and the knowledge he sought to convey.

Brahmagupta made substantial contributions to arithmetic, including advancements in the understanding of zero and negative numbers. He provided rules for performing calculations with zero and negative numbers, although he considered the product of two In the "Brahmasphutasiddhanta," Brahmagupta presented solutions to quadratic equations, including both positive and negative roots. He introduced methods for solving linear and quadratic indeterminate equations.

Brahmagupta's work in geometry included the calculation of the area of cyclic quadrilaterals. He provided a formula for the area of a cyclic quadrilateral in terms of its side lengths, known as Brahmagupta's formula.

The "Brahmasphutasiddhanta" also contains astronomical content. Brahmagupta discussed the motion of planets, lunar and solar eclipses, and the longitudes of the planets. He formulated rules for calculating the positions of celestial bodies.

Brahmagupta's mathematical ideas had a significant impact on Islamic mathematics during the medieval period. His work was translated into Arabic and became influential in shaping the development of mathematics in the Islamic world.

Brahmagupta's contributions to mathematics and astronomy were instrumental in the evolution of mathematical thought in India. His work laid the groundwork for subsequent advancements in algebra and trigonometry. Brahmagupta's legacy is particularly notable for his systematic approach to mathematical concepts.

While Brahmagupta is less well-known than some other ancient Indian mathematicians, his contributions played a crucial role in the development of mathematical knowledge in South Asia and beyond. His work, especially the "Brahmasphutasiddhanta," remains an essential source for understanding ancient Indian mathematics.