-:ABOUT THE BOOK:-

For centuries, the story of calculus has been told as a European triumph. The Elusive Ratio and the Advent of Calculus in India reveals a richer, truly global history—one in which Indian mathematicians, over a period of more than two millennia, developed the conceptual architecture of infinitesimal reasoning long before Newton and Leibniz.

This definitive volume brings together philological precision, mathematical reconstruction, and cultural insight to illuminate the most comprehensive account of India’s extraordinary analytic tradition and how calculus emerged in India. Beginning with Vedic ritual geometry and the Śulbasūtras, tracing through Āryabhaṭa’s and Brahmagupta’s contributions, and culminating in Mādhava’s power series for π, the book traces an unbroken lineage of ideas that anticipate modern calculus—three centuries before Europe.

Moving beyond sweeping histories or isolated studies of single texts, this volume is a landmark contribution that offers an integrated, topic-centered exploration of Indian analytic thought—accessible to anyone with a solid grasp of pre-university/pre-calculus mathematics. It aims to restore India’s mathematical tradition to its rightful place in global intellectual history. It also challenges conventional narratives, and invites readers to see calculus anew—as a confluence of ideas shaped across cultures, languages, and centuries. It is an essential reading for students, scholars, and anyone curious about the many pathways through which human civilizations have reasoned about change, motion, zero, and infinity..