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🇮🇳Classical Indian Astronomy

Brahmagupta

Mathematician & Astronomer

598 – 668 CE

Brahmagupta's Brahmasphutasiddhanta (628 CE) — written at age 30 — changed the mathematics of the entire world. He was the first scholar in history to formally define arithmetic rules for zero as a number: zero times any number is zero; zero divided by zero is zero; a positive number minus itself is zero. Before him, zero was a concept — a placeholder. He made it a quantity that could be operated on. He also gave the first formal rules for negative numbers. In his astronomical work, he described gravity using the Sanskrit term gurutvākarṣaṇam — meaning "gravitational attraction" — writing explicitly that "it is the nature of the earth to attract and to keep things," roughly 1,000 years before Newton. His treatise was translated into Arabic at the court of Caliph al-Mansur in Baghdad circa 770 CE, directly transmitting zero and arithmetic to the Islamic world — and from there to Renaissance Europe. Every calculation ever performed with the number zero traces its intellectual lineage to this man from Bhinmal, Rajasthan.

Key Contribution

First formal arithmetic rules for zero as a number (628 CE). First explicit mathematical description of gravity as an attractive force — 1,000 years before Newton. His treatise, translated into Arabic, gave Europe zero and modern arithmetic — the foundation of all computation, banking, and programming.

The sum of zero and a positive number is positive. Zero subtracted from zero is zero. A number multiplied by zero is zero.

Brahmagupta

Works & Achievements

  • Brahmasphutasiddhanta (628 CE) — 1,008 verses, written at age 30
  • First complete rules for arithmetic with zero
  • First formal treatment of negative numbers
  • gurutvākarṣaṇam — gravity as attractive force (1,000 years before Newton)
  • Translated into Arabic (c. 770 CE) — gave the world zero and modern arithmetic