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The Ganitasara Of Thakkara Phera

By Sreeramula Rajeswara Sarma

Vol. 19 · No. 011999pp. 24–26English
Jain Mathematical ContributionsJaina Mathematical Tradition

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.

Summary reviewed by a volunteer editor.

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.

Key passages

Chosen by AI from the article's text. Each one is checked word for word against the text before it is shown.

  • “The text is not dated but must have been written before 1318 C.E. It is more innovative and not so much in the theoretical portions but in the application of arithmetical rules to a wide range of areas.”
  • “Accordingly, Pheru points that to do this calculation more exactly one should first calculate the total volume of the wall-space, subtract from this the volume of the space occupied by the doors and windows and reduce the remainder by the three-twentieths, the latter being the volume of the mortar (III.70-71).”
  • “His rule of converting Vikrama dates into Hirji dates and vice versa (IV.1.17) which is probably the first such rule to be formulated in India.”

Works cited in this article

  1. Living Without Silver: The Monetary History of Early Medieval India
  2. Thakkura-Pheru-Voiracita-Ratnapariksadi-Saptagrantasamgrha
  3. Jainthology

Discussed in this article

People

Places

  • Kannana

Texts & works

  • Ratnapariksa
  • Dravyapariksa
  • Ganitasara
  • Dha@tutpaiti
  • Vastusdra
  • Jyotisara

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Jain Journal A Quarterly on Jainology

Thakkura Pheru and the Popularisation of Science in India in the Fourteenth Century

By Sreeramula Rajeswara Sarma

Jan - 1987

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