9 articles filed under Mathematics.
The Sūryasiddhānta's legendary frame—the Sun teaching an asura the secrets of astronomy through a divine delegate—situates mathematical knowledge as divine, transmitted through austerity and spiritual insight.
Bhāskara's Sanskrit classic re-voiced in Hindi dohā verse — series sums, cart-loads of equal weight, and interest problems worked in the plain arithmetic of the bazaar.
An ancient Sanskrit algebra treatise grounds the unknown in Sāṃkhya philosophy, treating invisible quantities as seeds from which all calculation grows.
An early 20th-century Sanskrit algebra textbook from Pune, the Bījodāharaṇam teaches algebraic operations using Sāṃkhya philosophy and merchant word problems, preserving a living Sanskrit mathematical tradition.
The kuṭṭaka (pulverizer) algorithm solves linear indeterminate equations by mutual division, essential for reconciling calendars and planetary periods. It is the Extended Euclidean Algorithm, expressed in classical Sanskrit verse.
The cyclic method (cakravāla) solves Pell-like equations through iterated composition, reducing and recomposing solutions until reaching the minimal pair. Indian mathematicians solved this 1000 years before Lagrange.
The Bījagaṇita's metaphor of wealth and debt makes the algebra of positive and negative numbers vivid and practical — mathematics rooted in the merchant's ledger.
The Bhāṣālīlāvatī brings Bhāskara's Līlāvatī into the vernacular, teaching arithmetic in prose and verse that ordinary learners could follow and apply.
The Līlāvatī teaches arithmetic through verse, story, and practical examples — a medieval textbook where every calculation is a stanza to be memorized and recited.