Madhava-Parampara: India's Calculus Revolution

Discover the Kerala School's revolutionary development of infinite series, the true 'Madhava series' (misattributed to Gregory-Leibniz), and the world's first calculus textbook Yuktibhasha. This is not a precursor, this is calculus.

Lessons in this chapter

• Mādhava of Saṅgamagrāma: The True Father of Calculus — The 14th century Kerala mathematician who developed calculus two hundred years before Newton and Leibniz
• Anantashreni: Infinite Series Two Centuries Before Europe — The foundational concept of calculus, worked out in a Kerala village
• Madhava's Pi: The 'Gregory-Leibniz' Series — The infinite series for pi that should bear Madhava's name
• Jya-Shreni: Sine and Cosine Series Before Taylor — How Madhava of Sangamagrama wrote down the power series for sine and cosine in Kerala around 1400, three centuries before Brook Taylor
• Nilakantha's Contributions: Refining Mathematical Analysis — How the Kerala tradition continued and deepened after Madhava
• Yuktibhasha: The World's First Calculus Textbook — The 16th-century text that systematically presents calculus
• Stolen Credit? Transmission Routes and Historical Injustice — How Kerala mathematics may have reached Europe and why credit went elsewhere

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