The Ganitasara Of Thakkara Phera
Summary
This article introduces the mathematical work Gaṇitasāra authored by Thakkura Pheru, a Jain polymath and treasury official in the court of Delhi Sultans during the early 14th century. Belonging to the Śrīmālī Jain caste, Pheru wrote six scientific treatises: Vastusara on architecture and iconography, Jyotisara on astrology and astronomy, Ratnapariksa on gemology, Ganitsāra on arithmetic, Dhatutpatti on metallurgy and perfumery trade, and Dravyapariksa on assay and money exchange—Gaṇitasāra (arithmetic) being one of the most practical. Key points include: i) Pheru served under Sultans Alauddin Khalji to Ghiyāsuddin Tughluq. ii) Gaṇitasāra, composed around 1318 CE, is known for applying arithmetic to everyday professions: construction, textiles, trade, and agriculture. iii) The text provides rules for solid geometry to calculate construction volumes, e.g., for domes, spiral staircases, and fluted towers (likely inspired by Delhi’s Qutb Minar). iv) It also includes tables for cloth cutting, shrinkage, tent sizing, and agricultural yields, showing adaptation of arithmetic to diverse practical needs. v) Pheru introduces one of the first known Indian methods for converting Vikrama Samvat to Hijri calendar dates.
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Conclusion
Thakkura Pheru’s Gaṇitasāra exemplifies a major step in the practical application of mathematics in medieval India. His work bridges arithmetic with fields like architecture, commerce, and agriculture, making him a pioneering figure in the popularization of math in various professions. The text reflects a vibrant Jain intellectual culture deeply integrated with the material needs of society.