Kerala methods improve convergence

Published on 7 April 2024, the paper examines continuous-line designs as Indigenous mathematical knowledge.

Continuity, cyclicity and symmetry appear in traditions transmitted through performance and teaching.

It compares long-standing Indigenous practices with the conventional story that begins with Euler's bridges problem.

The study treats drawings as cultural, narrative and mathematical practices rather than extracting patterns from their social meaning.

The paper examines Sanskrit verses and mathematical rationales for corrections that accelerate an infinite series for pi.

The author distinguishes numerical success from the strength of surviving explanations, avoiding both dismissal and uncritical celebration.

Madhava's work predates the European association of the series with Gregory and Leibniz, while later traditions developed in different contexts.

A study dated 10 June 2024 reviews 169 publications and identifies mathematical practices across many societies.

Activities include building, weaving, navigation, games, measurement, patterning and environmental knowledge.

It argues that written theorem-proof traditions should not be the sole standard for recognizing mathematical reasoning.