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- W2105078614 abstract "Geometry is the earliest recorded branch of Indian mathematics. Mathematics of the Vedic period consists of those geometric techniques needed for the construction of the altars and fire-places described by the priestly hereditary class for the performance of their rites. The link between geometry and ritual suggests that mathematical accuracy was considered of the utmost importance in this context. The study of rational figures in the Sanskrit work Gaṇita Sāra Saṃgraha, to which Mahāvīrācārya, a ninth-century ce Jaina mathematician, dedicates a special treatment, reveals striking parallelism with the earlier geometry developed in connection with the Vedic sacrifice. Mahāvīra makes extensive use of the uddeśaka or ‘sample problem’, and I suggest a new way of interpreting the uddeśaka as a significant device for constructing an ‘actual proof’ which validates and links a mathematical rule to its unmentioned premises and provides a system of knowledge based on deductive syllogism." @default.
- W2105078614 created "2016-06-24" @default.
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- W2105078614 date "2015-01-02" @default.
- W2105078614 modified "2023-09-23" @default.
- W2105078614 title "A new theoretical approach to sample problems and deductive reasoning in Sanskrit mathematical texts" @default.
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- W2105078614 doi "https://doi.org/10.1080/17498430.2014.976805" @default.
- W2105078614 hasPublicationYear "2015" @default.
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