Bijaganita, Bija-ganita, Bījagaṇita: 11 definitions
Introduction:
Bijaganita means something in Hinduism, Sanskrit, Marathi, Hindi. If you want to know the exact meaning, history, etymology or English translation of this term then check out the descriptions on this page. Add your comment or reference to a book if you want to contribute to this summary article.
Alternative spellings of this word include Beejganit.
In Hinduism
Ganitashastra (Mathematics and Algebra)
Source: archive.org: Hindu MathematicsBījagaṇita (बीजगणित) or “algebra” refers to the “science of calculation”, according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The Hindu name for the science of algebra is bījagaṇita. Bīja means “element” or “analysis” and gaṇita “the science of calculation”. Thus bījagaṇita literally means “the science of calculation with elements” or “the science of analytical calculation”. The epithet dates at least as far back as the time of Pṛthūdakasvāmī (860) who used it. Brahmagupta (628) calls algebra kuṭṭaka-gaṇita, or simply kuṭṭaka. [...] Algebra (bījagaṇita) is also called avyaktagaṇita or “the science of calculation with unknowns” (avyakta=unknown) in contradistinction to the name vyaktagaṇita or “the science of calculation with knowns” (vyakta=known) for arithmetic including geometry and mensuration.
According to Bhāskara II, algebra (bījagaṇita) may be defined as the science which treats of numbers expressed by means of symbols, and in which there is scope and primary need for intelligent artifices and ingenious devices.
Bhāskara II in the Līlāvatī: “Analysis (bīja) is certainly the innate intellect assisted by the various symbols (varṇa), which, for the instruction of duller intellects, has been expounded by the ancient sages who enlighten mathematicians as the sun irradiates the lotus; that has now taken the name algebra (bījagaṇita). [...] Neither does analysis consist in symbols, nor are there different kinds of analyses; sagacity alone is analysis, for wide is imagination. [...] Algebra (bījagaṇita) is similar to arithmetic (pāṭīgaṇita) in respect of rules (of fundamental operations) but appears as if it were indeterminate. It is not indeterminate to the intelligent; it is certainly not sixfold, but manifold”.
Ganita (गणित) or Ganitashastra 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.
Languages of India and abroad
Marathi-English dictionary
Source: DDSA: The Molesworth Marathi and English Dictionarybījagaṇita (बीजगणित).—n (S Seed-counting.) Algebra.
Source: DDSA: The Aryabhusan school dictionary, Marathi-Englishbījagaṇita (बीजगणित).—n Algebra.
Marathi is an Indo-European language having over 70 million native speakers people in (predominantly) Maharashtra India. Marathi, like many other Indo-Aryan languages, evolved from early forms of Prakrit, which itself is a subset of Sanskrit, one of the most ancient languages of the world.
Sanskrit dictionary
Source: DDSA: The practical Sanskrit-English dictionaryBījagaṇita (बीजगणित).—
1) analysis of primary causes.
2) the science of Algebra.
3) Name of the 2 nd part of सिद्धान्तशिरोमणि (siddhāntaśiromaṇi).
Derivable forms: bījagaṇitam (बीजगणितम्).
Bījagaṇita is a Sanskrit compound consisting of the terms bīja and gaṇita (गणित).
Source: Cologne Digital Sanskrit Dictionaries: Aufrecht Catalogus Catalogorum1) Bījagaṇita (बीजगणित) as mentioned in Aufrecht’s Catalogus Catalogorum:—the second part of Bhāskara’s Siddhāntaśiromaṇi. Cambr. 51. Paris. (D 69). K. 234. 242. B. 4, 164. Ben. 28. Bik. 348. Pheh. 7. Rādh. 34. Burnell. 75^b. Oppert. Ii, 3207. 6347. 6681. 9894. Peters. 1, 117. 121.
—[commentary] Oppert. Ii, 9895.
—[commentary] Bījodāharaṇa by Bhāskara. W. p. 230. Bik. 349. Oudh. Xiii, 60. (Bījāṅkurodāharaṇa).
—[commentary] Bījagaṇitodāharaṇa by Kṛpārāma. Sb. 257.
—[commentary] Bījāṅkura or Bījapallava or Bījavivṛtikalpalatāvatāra by Kṛṣṇa Gaṇaka. Io. 611. B. 4, 164. Ben. 30. Bik. 349. Oudh. Xiii, 60. Np. Ii, 112. Burnell. 75^b. Poona. 287.
—[commentary] Bījavivṛtikalpalatā by Paramasukha. NW. 572.
—[commentary] Bījagaṇitaprabodha by Rāmakṛṣṇa. Peters. 1, 117.
—[commentary] by Sūrya Daivajña. K. 234. Sb. 257.
2) Bījagaṇita (बीजगणित):—
—[commentary] by Sūrya, called Sūryaprakāśa. add W. p. 231.
3) Bījagaṇita (बीजगणित):—the second part of Bhāskara’s Siddhārtaśiromaṇi. [Bhau Dāji Memorial] 53. 130. Bik. 348. 349. Io. 611. 871. 1945. 2293. Oudh. Xiii, 60. Peters. 4, 38. Stein 166. W. p. 230. 231.
—[commentary] Bījagaṇitodāharaṇa Śiśubodhana by Bhāskarācārya. Stein 167 (inc.).
—[commentary] Bījodāharaṇabālabodhinī by Kṛpārāma. Io. 1356. Rādh. 34. Sb. 257.
—[commentary] Bījāṅkura or Bījapallava or Bījavivṛtikalpalatāvatāra by Kṛṣṇa Gaṇaka, son of Ballāla. Gov. Or. Libr. Madras 58. Io. 611. 1533. 1946. 1974. 2291. Stein 166.
—[commentary] Bījagaṇitaprabodha by Rāmakṛṣṇa, son of Lakṣmaṇa. Io. 1945.
—[commentary] Sūryaprakāśa by Sūrya Daivajña. Gov. Or. Libr. Madras 58. Io. 789. 1533. 1891. 2290. Stein 166. W. p. 231.
—[commentary] Bījagaṇitavāsanābhāṣya by Haridāsa, son of Vrajanātha. Rgb. 833.
4) Bījagaṇita (बीजगणित):—algebra, by Bhāskara. Ulwar 1866.
—[commentary] Bījodāharaṇabālabodhinī by Kṛpārāma, son of Lakṣmīnārāyaṇa. Ulwar 1869.
—[commentary] Bījāṅkura or Bījapallava by Kṛṣṇa Gaṇaka, son of Ballāla. Ulwar 1867.
—[commentary] Bījagaṇitaprabodha by Rāmakṛṣṇa, son of Lakṣmaṇa. Ulwar 1868. Extr. 527.
—[commentary] Sūryaprakāśa by Sūrya, son of Jñānarāja. Ulwar 1870.
5) Bījagaṇita (बीजगणित):—algebra by Bhāskara, son of Maheśvara. Ak 880. As p. 225 (2 Mss.). L.. 963 ([fragmentary]). 964 ([fragmentary]). C. Bījavivṛtikalpalatāvatāra by Kṛṣṇa Gaṇaka. As p. 225. C. Bījaprabodha by Rāmakṛṣṇa, son of Lakṣmaṇa. L.. 964 ([fragmentary]). C. Sūryaprakāśa by Sūrya, son of Jñānarāja. As p. 227.
Source: Cologne Digital Sanskrit Dictionaries: Monier-Williams Sanskrit-English Dictionary1) Bījagaṇita (बीजगणित):—[=bīja-gaṇita] [from bīja] n. calculation of primary causes, analysis, algebra
2) [v.s. ...] Name of the 2nd part of Bhās-kara’s Siddhāntaśiromaṇi
[Sanskrit to German]
Sanskrit, also spelled संस्कृतम् (saṃskṛtam), is an ancient language of India commonly seen as the grandmother of the Indo-European language family (even English!). Closely allied with Prakrit and Pali, Sanskrit is more exhaustive in both grammar and terms and has the most extensive collection of literature in the world, greatly surpassing its sister-languages Greek and Latin.
Hindi dictionary
Source: DDSA: A practical Hindi-English dictionaryBījagaṇita (बीजगणित) [Also spelled beejganit]:—(nm) (the science of) algebra; ~[ta-saṃbaṃdhī] algebraical; ~[tīya] algebraic (al).
...
Kannada-English dictionary
Source: Alar: Kannada-English corpusBījagaṇita (ಬೀಜಗಣಿತ):—[noun] = ಬೀಜ - [bija -] 9.
Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.
Nepali dictionary
Source: unoes: Nepali-English DictionaryBījagaṇita (बीजगणित):—n. algebra;
Nepali is the primary language of the Nepalese people counting almost 20 million native speakers. The country of Nepal is situated in the Himalaya mountain range to the north of India.
See also (Relevant definitions)
Partial matches: Ganita, Bija.
Starts with: Bijaganitaprabodha.
Full-text (+231): Bijaganitaprabodha, Upantima, Yavattavatkalpana, Tulyashuddhi, Bijapallava, Apavartya, Pancakashata, Bijavivritikalpalatavatara, Bijaganitodaharana, Ahati, Utthapya, Picakanitam, Siddhantashiromani, Caya, Avyaktaganita, Yutti, Guna, Utthapana, Kshepaka, Bijganit.
Relevant text
Search found 9 books and stories containing Bijaganita, Bija-ganita, Bīja-gaṇita, Bījagaṇita; (plurals include: Bijaganitas, ganitas, gaṇitas, Bījagaṇitas). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:
A Descriptive Catalogue of the Sanskrit Manuscripts, Madras (by M. Seshagiri Sastri)
Glories of India (Culture and Civilization) (by Prasanna Kumar Acharya)
Knowledge of Mathematics in ancient India < [Chapter 6 - Practical sciences]
Knowledge of Astronomy (Jyotisha-shastra) in ancient India < [Chapter 6 - Practical sciences]
Ganitatilaka (Sanskrit text and English introduction) (by H. R. Kapadia)
Part 27 - Sripati’s life and works < [Introduction]
Part 24 - Kalasavarna (reduction to a simple fraction) and Vallisavarnana < [Introduction]
Part 30 - Trishati and its author Shridhara < [Introduction]
History of Science in South Asia
Review of: Dr Sita Sundar Ram, Bījapallava of Kṛṣṇa Daivajña: Algebra in Sixteenth Century India. A Critical Study < [Vol. 2 (2014)]
The Kriyākramakarī’s Integrative Approach to Mathematical Knowledge < [Vol. 6 (2018)]
Persian Astronomy in Sanskrit < [Vol. 9 (2021)]
Hayanaratna: The Jewel of Annual Astrology (by Martin Gansten)
12. Abbreviations and Expressions Used in the Apparatus < [Introduction]
5. Non-Tājika Works and Authorities Cited < [Introduction]
3. The Hāyanaratna and Its Author < [Introduction]
Glimpses of History of Sanskrit Literature (by Satya Vrat Shastri)
Chapter 30.2 - Introduction to ancient Indian Mathematics < [Section 4 - Classical Sanskrit literature]