In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Bhāṇḍapratibhāṇḍa (भाण्डप्रतिभाण्ड) refers to “commodity for commodity” and represents one of the twenty operations (logistics) of pāṭīgaṇita (“science of calculation which requires the use of writing material—the board”), according to Pṛthudakasvāmī’s commentary on the Brāhmasphuṭasiddhānta by Brahmagupta, a Sanskrit treatise on ancient Indian mathematics (gaṇita-śāstra) and astronomy from the 7th century.—The Hindu name for barter is bhāṇḍapratibhāṇḍa (“commodity for commodity”). All the Hindu works on pāṭīgaṇita contain problems relating to the exchange of commodities. It is pointed out in these works that problems on barter are cases of compound proportion, and can be solved by the Rule of Five, etc.

A typical problem on barter is the following [according to Bhāskara II in the Līlāvatī]—“If three hundred mangoes be had in this market for one dramma, and thirty ripe pomegranates for a paṇa, say quickly, friend, how many (pomegranates) should be had in exchange for ten mangoes?”.

context information

Ganitashastra (शिल्पशास्त्र, gaṇitaśāstra) refers to the ancient Indian science of mathematics, algebra, number theory, arithmetic, etc. Closely allied with astronomy, both were commonly taught and studied in universities, even since the 1st millennium BCE. Ganita-shastra also includes ritualistic math-books such as the Shulba-sutras.

See also (Relevant definitions)

Partial matches: Bhanda, Pratibhanda.

Starts with: Bhandapratibhandaka.

Full-text: Bhandpratibhand, Bhanda, Pratibhanda, Patiganita.

Relevant text

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