Mathematics

T1

π/4 = 1 − 1/3 + 1/5 − 1/7 + … Calculus textbooks call this the Leibniz series (1673). The Tantrasaṅgraha, composed in Kerala around 1500 CE, states the same alternating series as a Sanskrit verse rule — then adds a correction term that repairs its notoriously slow convergence. Kerala's own commentaries credit the series to Mādhava of Saṅgamagrāma (c. 1340–1425), placing the result roughly three centuries before Leibniz published it in Europe.

From the source

Multiply the diameter by 4, and from it subtract and add alternately the quotients
On the Hindu Quadrature of the Circle, and the Infinite Series of the Proportion of the Circumference to the Diameter Exhibited in the Four Sastras, tr. Charles M. Whish (1834)p6
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π/4 = 1 − 1/3 + 1/5 − 1/7 + … Calculus textbooks call this the Leibniz series (1673). — Experli