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Computational Study of 11th-Century 'Bijaganita' Variants Reveals Early Sanskrit Algorithms for Modeling Complex Polynomial Expansion

📅 April 7, 2026 📰 History of Mathematical Sciences
Computational Study of 11th-Century 'Bijaganita' Variants Reveals Early Sanskrit Algorithms for Modeling Complex Polynomial Expansion

Research published in the History of Mathematical Sciences has analyzed rare variants of 11th-century Bijaganita (algebra) manuscripts found in a private collection in Kerala. The study identifies previously unrecorded recursive algorithms used for modeling the expansion of complex polynomials, which predate similar European mathematical developments by several centuries.

The researchers utilized computational verification to test the accuracy of these Sanskrit formulas, finding they provided efficient solutions for high-degree algebraic equations. This study reinforces the view that medieval Indian mathematicians had developed a robust algorithmic framework for algebra that was integrated into both astronomical predictions and the architectural design of complex temple geometries.

Original source: History of Mathematical Sciences