Skip to main content
  • 295 Accesses

The Bakhshālī Manuscript is the name given to the oldest extant manuscript in Indian mathematics. It is so called because it was discovered by a peasant in 1881 at a small village called Bakhshālī, about 80 km northeast of Peshawar (now in Pakistan). It is preserved in the Bodleian Library at Oxford University.

The extant portion of the manuscript consists of 70 fragmentary leaves of birchbark. The original size of a leaf is estimated to be about 17 cm wide and 13.5 cm high. The original order of the leaves can only be conjectured on the bases of rather unsound criteria, such as the logical sequence of contents; order of the leaves in which they reached A. F. R. Hoernle, who did the first research on the manuscript; physical appearance such as the size, shape, degree of damage, and knots; and partially preserved serial numbers of mathematical rules (9–11, 13–29, and 50–58).

The script is the earlier type of the Śāradā script, which was in use in the northwestern part of India, namely,...

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  • Ayyangar, A. A. K. (1939). The Bakhshālī manuscript. Mathematics Student, 7, 1–16.

    Google Scholar 

  • Channabasappa, M. N. (1976). On the square root formula in the Bakhshālī manuscript. Indian Journal of History of Science, 2, 112–124.

    Google Scholar 

  • Channabasappa, M. N. (1979). The Bakhshālī square root formula and high speed computation. Gaṇita Bhāratī, 1, 25–27.

    Google Scholar 

  • Channabasappa, M. N. (1984). Mathematical terminology peculiar to the Bakhshālī manuscript. Gaṇita Bhāratī, 6, 13–18.

    Google Scholar 

  • Datta, B. (1929). The Bakhshālī mathematics. Bulletin of the Calcutta Mathematical Society, 21, 1–60.

    Google Scholar 

  • Gupta, R. C. (1981). Centenary of Bakhshālī manuscript’s discovery. Gaṇita Bhāratī, 3, 103–105.

    Google Scholar 

  • Gupta, R. C. (1986). Some equalization problems from the Bakhshālī Manuscript. Indian Journal of History of Science, 21, 51–61.

    Google Scholar 

  • Hayashi, T. (1995). The Bakhshālī manuscript: An ancient Indian mathematical treatise. Groningen: Egbert Forsten.

    Google Scholar 

  • Hoernle, A. F. R. (1888a). On the Bakhshālī manuscript. Verhandlungen des VII Internationalen Orientalisten Congresses (Vienna 1886). Arische Section, pp. 127–147.

    Google Scholar 

  • Hoernle, A. F. R. (1888b). The Bakhshālī manuscript. The Indian Antiquary, 17, 33–48, 275–279.

    Google Scholar 

  • Kaye, G. R. (1912). The Bakhshālī manuscript. Journal of the Asiatic Society of Bengal (NS), 8, 349–361.

    Google Scholar 

  • Kaye, G. R. (1981/1987). The Bakhshālī manuscript: A study in medieval mathematics. In: Archaeological survey of India, New imperial series 43. Parts 1 and 2: Calcutta, 1927. Part 3: Delhi, 1933. Reprint New Delhi: Cosmo Publications.

    Google Scholar 

  • Pingree, D. (1970–1994). Census of the exact sciences in Sanskrit. Series A, Vols. 1–5. Philadelphia: American Philosophical Society.

    Google Scholar 

  • Pingree, D. (1981). Jyotiḥsāstra: Astral and mathematical literature. Harrassowitz: Wiesbaden.

    Google Scholar 

  • Sarkar, R. (1982). The Bakhshālī manuscript. Gaṇita Bhāratī, 4, 50–55.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takao Hayashi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this entry

Cite this entry

Hayashi, T. (2014). Bakhshālī Manuscript. In: Selin, H. (eds) Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-3934-5_9216-2

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-3934-5_9216-2

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Online ISBN: 978-94-007-3934-5

  • eBook Packages: Springer Reference Religion and PhilosophyReference Module Humanities and Social SciencesReference Module Humanities

Publish with us

Policies and ethics