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Mathematics & Computer Science

Negative numbers and sign rules

628 CEBrahmaguptaBrahmasphutasiddhantaPan-Indian / unspecified

628 CE

Systematic rules using 'fortunes' (positive) and 'debts' (negative), including that debt x debt = fortune.

Dated
628 CE
As scholars put it
628 CE
Originator
Brahmagupta
Source text
Brahmasphutasiddhanta
Region
Pan-Indian / unspecified
Discipline
Mathematics & Computer Science
Evidence
Documented
Confidence
High
Verification
Verified-web

Meanwhile in the West

European mathematicians resisted negatives until the 17th-18th c.

Fair to say

Chinese rod numerals also handled negatives; Brahmagupta gave explicit rules.

Path to modern innovation

Foundational to algebra, accounting, physics.

Builds on

Transmission

Reached Europe through Arabic algebra.

Primary sources

References

  • 1Brahmasphutasiddhanta (628 CE)

Further reading

Corrections and additional sources: edit IND-004 on GitHub.