1500 ⟶ Nilakantha Somayaji Discovers Infinite Series for π
Nilakantha Somayaji discovers an infinite series for π.: 101...
Year
1380
1500
♾️ Madhava of Sangamagrama Develops Taylor Series
Madhava of Sangamagrama develops the Taylor series, and derives the Taylor series representation for the sine, cosine and arctangent functions, and uses it to produce the Leibniz series for π.⟶
MathematicsCalculusTaylor SeriesInfinite SeriesMadhava of Sangamagrama14th CenturyTrigonometry
India📐 Madhava of Sangamagrama Discusses Error Terms in Infinite Series for π
Madhava of Sangamagrama discusses error terms in infinite series in the context of his infinite series for π.⟶
MathematicsError AnalysisInfinite SeriesMadhava of SangamagramaPi14th Century
India📊 Kerala School Develops Convergence Tests for Infinite Series
The Kerala school develops convergence tests for infinite series.⟶
MathematicsInfinite SeriesConvergenceKerala School14th Century
Indiaπ Madhava of Sangamagrama Achieves Most Precise π Estimate of Medieval World
Madhava of Sangamagrama discovers the most precise estimate of π in the medieval world through his infinite series, a strict inequality with uncertainty 3e-13.⟶
MathematicsPiMadhava of SangamagramaApproximation14th Century
India🧮 Nilakantha Somayaji Discovers Infinite Series for π
Nilakantha Somayaji discovers an infinite series for π.: 101–102⟶
MathematicsInfinite SeriesPiNilakantha Somayaji16th CenturyTrigonometry
India🪐 Nilakantha Somayaji Develops a Tychonic-like System
Nilakantha Somayaji develops a model similar to the Tychonic system. His model has been described as mathematically more efficient than the Tychonic system due to correctly considering the equation of the centre and latitudinal motion of Mercury and Venus.⟶
AstronomyPlanetary ModelTychonic SystemNilakantha Somayaji16th CenturyHeliocentric
India