Līlāvatī

  • Takao Hayashi
Living reference work entry
DOI: https://doi.org/10.1007/978-94-007-3934-5_9263-2

The Līlāvatī is a Sanskrit work on arithmetic and mensuration (computational geometry) composed in or a little before AD 1150 by Bhāskara II, one of the greatest Indian mathematician-astronomers. The Līlāvatī is sometimes regarded as the first part of the Siddhāntaśiromaṇi, a masterpiece on gaṇita (mathematics) in its broad sense (including mathematical astronomy), the other parts being Bījagaṇita, Grahagaṇitādhyāya (chapter on planetary computation), and Golādhyāya (chapter on spherical astronomy), but in manuscripts the four parts have been handed down to us independently.

In medieval India, mathematics proper comprised two major fields, pāṭīgaṇita (mathematics of algorithm) and bījagaṇita (“mathematics of seeds” or algebra). The Līlāvatī is the most typical and the most influential work of pāṭīgaṇita. More than 600 manuscripts of the work reported so far and more than 30 extant commentaries attest that it was the most popular mathematical textbook in India used by a number of...

Keywords

Orange Peel Mathematical Textbook Pythagorean Theorem Natural Series Similar Triangle 
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References

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Doshisha UniversityKyoto CityJapan