How did Bhaskara I preserve and explain Aryabhata’s mathematical methods?

Bhaskara I played a pivotal role in preserving and clarifying the work of the mathematician Aryabhata by composing three significant treatises dedicated to his predecessor's findings.1

His primary contribution to this effort was the Aryabhatiyabhashya (629), a prose commentary on the Aryabhatiya. In this text, Bhaskara provided detailed explanations of Aryabhata’s methods for solving linear equations, supplementing them with various astronomical examples to illustrate their practical application.1

Beyond mere explanation, Bhaskara was a proponent of mathematical rigor. He emphasized the necessity of proving mathematical rules rather than accepting them based on tradition or convenience. For instance, he actively defended Aryabhata’s approximation of $\pi$ by criticizing the common reliance on $\sqrt{10}$ used by other mathematicians of the era. Through his additional works, the Mahabhaskariya and Laghubhaskariya, he further disseminated these astronomical and mathematical concepts, ensuring their continued influence, particularly in South India.1