In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: International Journal of Jaina Studies: The Treatment of Series in the Ganita-sara-sangraha

Guṇasaṃkalita (गुणसंकलित) refers to “multiplicative summation”, according to the article “the treatment of Series in the Gaṇitasāra-saṃgraha of Mahāvīrācārya and its Connections to Jaina Cosmology”.—Accordingly, [while describing Geometrical Progressions]: The shift from arithmetical to geometrical progressions is not clearly indicated in the manuscripts. It has to be deduced from the appearance of a new terminology: the increase (uttara) becomes the common ratio q, which is called guṇa or guṇottara (multiplicative increase), but sometimes only uttara. The names for the first term and the number of terms do not change. The last term (antyadhana) is defined as it is today and there is something new, the guṇadhana, equivalent to the term that comes after the antyadhana. This does not have a specific name in our modern mathematics. The sum is called guṇasaṃkalita or “multiplicative summation”.

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: Samkalita, Guna.

Full-text: Guna, Gunottara.

Relevant text

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