1380 ⟶ Madhava of Sangamagrama Develops Taylor Series
Madhava of Sangamagrama develops the Taylor series, and deri...
Year
1380
♾️ 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🔢 Madhava of Sangamagrama Discovers Continued Fractions
Madhava of Sangamagrama discovers continued fractions and uses them to solve transcendental equations.⟶
MathematicsContinued FractionsMadhava of SangamagramaTranscendental Equations14th Century
India📊 Kerala School Develops Convergence Tests for Infinite Series
The Kerala school develops convergence tests for infinite series.⟶
MathematicsInfinite SeriesConvergenceKerala School14th Century
India🔁 Madhava of Sangamagrama Solves Transcendental Equations by Iteration
Madhava of Sangamagrama solves transcendental equations by iteration.⟶
MathematicsIterationTranscendental EquationsMadhava of Sangamagrama14th 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