Author(s): Dr. Abul Basar, Shaista, Dr. Mustafa Kamal Ansari, Dr. Iftekhar Ahmad, Dr. Bhavanari Satyanarayana and Dr. Poonam Kumar Sharma

Abstract: Aryabhata was a prominent Indian mathematician and astronomer who is the Father of Indian Mathematics. He is well known all around the world for his elegant pieces of work, legacy and inventions in these fields. He was the first mathematician cum astronomer from the classical period of Indian mathematics and astronomy. His pieces of work include the Aryabhatiya (c. 499), the main surviving Scripture from Aryabhata's classical pieces of work which is scripted in 118 verses describing Hindu Mathematics up to that time, and the now lost Aryasiddhanta. The place Kusumapura is situated near Patalipurta (Patna), then the capital of the Gupta dynasty, where he wrote at least these two pieces of treatises. It studies subjects such as plane and spherical trigonometry, quadratic equations, arithmetic and algebra. Aryabhata is also considered a great pioneer physicist for his explicitly describing the relativity of motion. Aryabhata's work also includes his notions of cosine, sine, inverse sine, and versed sine, which forms the foundation of trigonometry. He was also the first mathematician to obtain the calculation based on sine and versine tables from 0 to 180 degrees with four decimal places of precision. Patliputra was the centre of communications for network channel which facilitated learning from other parts of the world to access it and also facilitated the mathematical, and astronomical contents by Aryabhata and his school to travel across India and also eventually into the Islamic world.

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