Mathematics & Computer Science
Early differential ideas (instantaneous motion)
1150 CEBhaskara IISiddhanta Shiromani (Grahaganita)Pan-Indian / unspecified
1150
Used the idea of instantaneous velocity of planets and a result resembling the derivative of sine and Rolle's theorem.
- Dated
- 1150
- As scholars put it
- 1150 CE
- Originator
- Bhaskara II
- Source text
- Siddhanta Shiromani (Grahaganita)
- Region
- Pan-Indian / unspecified
- Discipline
- Mathematics & Computer Science
- Evidence
- Documented
- Confidence
- Medium
- Verification
- Verified-web
Meanwhile in the West
Formal calculus by Newton and Leibniz (late 17th c.).
Fair to say
These are specific insights, NOT a systematic differential calculus.
Path to modern innovation
Anticipates concepts central to calculus.
Transmission
Independent later development.
Primary sources
References
- 1Siddhanta Shiromani (1150)
- 2Plofker (2009)
Further reading
Corrections and additional sources: edit IND-011 on GitHub.