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Madhava series-First to have developed infinite series approximations for a range of trigonometric mathematics to infinity (sine, cosine, tangent, arctangent and many methods for calculating the circumference of a circle) In Europe, the first such series were developed by James Gregory in 1667 (over 200+ years after Madhava), hence, known as the Gregory series Today, it is referred to as the Madhava-Gregory series (RC Gupta in a math journal, 1973) Madhava’s other contributions come from a variety of scholars and include: Trigonometry – table of sines and values of half-sine chords for 24 arcs drawn at equal intervals in a quarter of a given circle Value of pi – infinite series expansion of pi now known as the Madhava-Leibniz series (Andrews, Askey and Roy, 1999 and RC Gupta, 1992); gave a correction term Rn for the error after computing the sum up to n terms; value correct to 11 decimal places; sometimes attributed the discovery to 13 decimals, but believed to be due to his followers by some scholars Algebra – series for archlengths and approximations to rational fractions of pi Calculus – laid foundations for development of calculus