Period labels are shown to be geographically limited

The Chinese mathematician's dissection arguments suggest ways ancient practitioners could understand such formulas without Euclidean proof.

It argues that historians trained only in Greek geometry and modern algebra overlooked illuminating comparisons between Egypt and China.

The article shows that scholarship and cultural exchange flourished across Africa, Asia and the Islamic world during centuries often framed through Western European decline.

Greek geometry, Indian numeration and Chinese paper technology circulated through multilingual networks.

Baghdad's scholars translated and transformed materials from many regions rather than inheriting a single civilizational line.

Published on 7 March 2024, the paper examines counting, time-reckoning, ritual construction and later symbolic computation.

The author distinguishes context-based arithmetic using objects and names from later procedures enabled by numeral systems.

Claims about advanced Vedic mathematics are tested against the chronological evidence for scripts, symbols and operations.

Separating evidence from nationalist or colonial myths helps identify when distinctive developments actually occurred.

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