A new research paper published in the Journal of Indian Mathematical Society has detailed a breakthrough in the understanding of the Gola-Adhyaya, a key section of Bhaskara II’s 12th-century work. Using high-resolution multispectral imaging of recently recovered palm-leaf manuscripts, researchers identified mathematical proofs for spherical projections that predated European developments by nearly five centuries. The study demonstrates that ancient Indian astronomers used sophisticated coordinate transformations to map the celestial sphere onto a flat surface with minimal distortion.
The researchers applied computational modeling to verify the recursive algorithms described in the text, finding that they provide a high degree of accuracy for calculating the positions of planetary conjunctions. This discovery suggests that the Kerala School of mathematics had deep roots in these earlier 12th-century advancements, particularly in the use of infinite series for approximating the area of a sphere.