Public history challenges the idea of a European miracle

The publication shows how unfamiliar representational conventions can encode systematic and reusable algorithms.

The database date belongs to the publication, while the description identifies the much older Egyptian source.

The article presents mathematics and science in Baghdad, Cairo, Damascus and Córdoba as central chapters of world history.

Al-Khwarizmi systematized equation-solving while drawing on and extending Indian, Persian and Greek knowledge.

Scientists did not merely preserve older texts; they criticized, recombined and expanded them.

The 18 February 2010 publication surveys mathematical methods in the Aryabhatiya for a modern technical audience.

The study emphasizes procedural mathematics that can be compared with algorithmic thinking in cryptography and computer science.

Aryabhata's trigonometric work demonstrates an independent and influential approach to numerical astronomy.

It places Indian mathematical innovation within the longer global development of algorithms and number representation.

Published on 31 March 2010, the paper reviews competing explanations of the Old Babylonian number table.