History of Hindu Mathematics: A Source Book v1.c9: Bibliography of Sanskrit Mathematical Works
History of Hindu Mathematics: A Source Book v1.c9
- Language
- English
Bibliography of Sanskrit Mathematical Works
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1. *Âpastamba Śulba Sûtra by Âpastamba* (*c.* 400 B.C.). Edited with the commentary of Kapardisvâmî, Karavindasvâmî and of Sundararâja *by* D. Srinivasachar and V.S. Narasimhachar, University of Mysore Sanskrit Series, 1931; *by* A. Bürk, with German translation and note and comments in *Zeitschrift der deutschen morgenländischen Gesselschaft*, LV, 1902, pp. 543-591; LVI, 1903, pp. 327-391.
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2. *Ârṣa Jyotiṣa*. Edited *by* Sudhakara Dvivedi with his own commentary, Benares, 1906.
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3. *Âryabhaṭîya by Âryabhaṭa* I (499). Edited with the commentary, entitled *Bhaṭadîpikâ*, of Parameśvara (1430) *by* H. Kern (Leiden, 1875); *by* Udai Narayan Singh, with explanatory notes in Hindi (Muzaffarpur, 1906); with the commentary, entitled *Mahâbhâṣya*, of Nîlakaṇṭha (1500) on the last three chapters *by* K. Sambasiva Sastri (Trivandrum, Part I, 1930; Part II, 1931; Part III, *in press*). Translations: *by* P. C. Sengupta ("The Âryabhaṭîyam," in the *Journal of the Department of Letters in the University of Calcutta*, XVI, 1927); *by* W. E. Clark (*The Âryabhaṭîya of Âryabhaṭa*, Chicago, 1930). The second chapter of the book has been translated also *by* L. Rodet ("Leçons de calcul d'Âryabhaṭa," in *Journal Asiatique*, XIII (7), 1878; reprint, Paris, 1879) and *by* G. R. Kaye ("Notes on Indian Mathematics, No. 2—Âryabhaṭa," in *Journal of the Asiatic Society of Bengal*, IV, 1908). Other commentaries in MSS: (i) *by* Bhâskara I (522); (ii) *Bhaṭaprakâśikâ by* Sûryadeva Yajvâ (12th century).
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4. *Atharvan Jyotiṣa*. Edited *by* Bhagvad Datta, Lahore, 1924.
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5. *Bakhshâlî Manuscript—A Study in Mediæval Mathematics*, Parts I, II and III edited *by* G. R. Kaye, Calcutta, 1927, 1933.
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6. *Baudhâyana Śulba Sûtra by Baudhâyana* (*c.* 800 B.C.). Edited *by* G. Thibaut, with English translation, critical notes and extracts from the commentary of Dvârakânâtha Yajvâ, in the *Paṇḍit* (Old Series, IX and X, 1874-5; New Series, I, 1877). The text appears in the edition of the *Baudhâyana Śrauta Sûtra* (as its 30th chapter) by W. Caland (in 3 volumes, Calcutta, 1904, 1907, 1913).
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7. *Bîjagaṇita* of Bhâskara II (1150). Edited by Sudhakara Dvivedi (Benares) and revised by Muralidhara Jha (Benares, 1927); with the commentary, entitled *Navâṅkura*, of Kṛṣṇa (*c.* 1600) *by* D. Apte (Anandasrama Sanskrit Series, Poona, 1930). English translation *by* H. T. Colebrooke (*Algebra with Arithmetic and Mensuration from the Sanscrit of Brahmegupta and Bhascara*, London, 1817). *Other commentaries in MSS*: (i) *Bîjaprabodha* by Râmakṛṣṇa (*c.* 1648); (ii) *by* Sûryadâsa (born 1508). References to this treatise in our text are by pages of Muralidhara Jha's revised edition.
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8. *Bîjagaṇita* of Jñânarâja (1503). MS.
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9. *Bîjagaṇita* of Nârâyaṇa (1350). MS. (incomplete).
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10. *Brâhma-sphuṭa-siddhânta* by Brahmagupta (628). Edited with explanatory notes by Sudhakara Dvivedi, Benares, 1902. Chapters xii and xiii of the work dealing respectively with arithmetic and algebra have been translated into English *by* H. T. Colebrooke (*Algebra with Arithmetic and Mensuration* etc.). Commentary *by* Pṛthudakasvâmî (860). MS. (incomplete).
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11. *Bṛhajjâtaka* of Varâhamihira (505). Edited with the commentary of Bhaṭṭotpala (966) *by* Rasikmohan Chattopadhyaya (Calcutta, 1300, B.S.); *by* Sitaram Jha (Benares, 1923).
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12. *Bṛhat-saṁhitâ* by Varâhamihira (505). Edited *by* H. Kern (Calcutta, 1865); *by* Sudhakara Dvivedi, with the commentary of Bhaṭṭotpala (Vizianagram Sanskrit Series, 2 Vols., Benares, 1895). English translation by H. Kern (See his collected works).
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13. *Dhyânagrahopadeśa* of Brahmagupta (628). Edited *by* Sudhakara Dvivedi and published as an appendix to his edition of the *Brâhma-sphuṭa-siddhânta*.
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14. *Gaṇita-kaumudî* of Nârâyaṇa (1356). MS.
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15. *Gaṇita-mañjarî* by Gaṇeśa, son of Ḍhuṇḍhirâja (1558). MS.
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16. *Gaṇita-tilaka* by Śrîpati (1039). Edited with the commentary of Siṁhatilaka Surî (*c.* 1275) *by* H. R. Kapadia (Gaikwad Sanskrit Series, Baroda, 1935).
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17. *Gaṇita-sâra-saṁgraha* by Mahâvîra (850). Edited with English translation and notes *by* M. Rangacarya, Madras, 1912.
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18. *Graha-lâghava* of Gaṇeśa Daivajña (*c.* 1545). Edited with the commentaries of Mallâri, Viśvanâtha and his own *by* Sudhakara Dvivedi, reprinted, Bombay, 1925.
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19. *Karaṇa-kutûhala* by Bhâskara II (1150). Edited with the commentary of Sumatiharṣa *by* Madhava Sastri, Bombay, 1901.
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20. *Karaṇa-paddhati* by Pathumana Somayâji (1733). MS.
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21. *Kâtyâyana Śulba Sûtra* by Kâtyâyana (*c.* 400 B.C.). Edited with explanatory notes *by* Vidyadhar Sharma, Benares, 1928.
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22. *Khaṇḍa-khâdyaka* by Brahmagupta (628). Edited with the commentary of Âmarâja (*c.* 1250) *by* Babua Misra (Calcutta, 1925). English translation with notes and comments *by* Prabodh Chandra Sengupta (Calcutta, 1934). Other commentaries in MSS: (*i*) *by* Pṛthudakasvâmî (incomplete); (*ii*) *by* Varuṇa; (*iii*) *by* Bhaṭṭotpala.
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23. *Laghu-Bhâskarîya* by Bhâskara I (522). Commentary *by* Śaṅkaranârâyaṇa. MSS.
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24. *Laghu-mânasa* by Mañjula (932). Commentaries *by* (*i*) Pṛthudakasvâmî (964); (*ii*) Parameśvara (1430). MSS.
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25. *Lîlâvatî* by Bhâskara II (1150). Edited with notes *by* Sudhakara Dvivedi, Benares, 1910. Translations: (*i*) *by* H. T. Colebrooke (*Algebra with Arithemtic and Mensuration* etc.); (*ii*) *by* J. Taylor (*Lîlawatî*, Bombay, 1816). Colebrooke's translation has been re-edited with critical notes by Haran Chandra Banerji (*Lîlâvatî*, 2nd ed., Calcutta). Commentaries in MSS: (*i*) *Buddhivilâsinî* by Gaṇeśa (1545); (*ii*) *Gaṇitâmṛtasâgarî* by Gaṅgâdhara (1432); (*iii*) *Gaṇitâmṛtalaharî* by Râmakṛṣṇa (1339); (*iv*) *Manorañjana* by Râmakṛṣṇadeva; (*v*) *Gaṇitâmṛtakûpikâ* by Sûryadâsa (1541); (*vi*) *Cintâmaṇi* by Lakṣmîdâsa (1500); (*vii*) *Nisṛṣṭadûtî* by Munîśvara (1608). References to *Lîlâvatî* in our text are by the pages of Dvivedi's edition.
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26. *Mânava Śulba Sûtra* by Manu, MS. English translation *by* N. K. Mazumdar (in *Journal of the Department of Letters in the University of Calcutta*, VIII, 1922).
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27. *Mahâ-Bhâskarîya* by Bhâskara I (522). Commentary *by* (*i*) Sûryadeva (12th century); (*ii*) Parameśvara (1430). MSS.
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28. *Mahâ-siddhânta* by Âryabhaṭa II (950). Edited with explanatory notes by Sudhakara Dvivedi, Benares, 1910.
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29. *Pañca-siddhântikâ* by Varâhamihira (505). Edited with a commentary in Sanskrit, translation into English and critical notes *by* G. Thibaut and Sudhakara Dvivedi, Benares, 1889.
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30. *Pâṭî-sâra* by Munîśvara (born 1603). MS.
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31. *Sadratnamâla* by Śaṅkaravarman. MS.
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32. *Siddhânta-śekhara* by Śrîpati (1039). Edited *by* Babua Misra, Calcutta, Vol. I (1932), containing chapters i-xii of the text, with the commentary of Makkibhaṭṭa (1377) on chapters i-iv and that of the editor on the rest.
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33. *Siddhânta-śiromaṇi* by Bhâskara II (1150). Edited with the author's own gloss (*Vâsanâbhâṣya*) *by* Bapu Deva Sastri, Benares); *by* Muralidhara Jha *with* the commentaries, *Vâsanâvârtika* of Nṛsiṃha (1621) and *Marîci* of Munîśvara (1635), Vol. I (containing chap. i of the *Gaṇitâdhyâya*) (Benares, 1917); *by* Girija Prasad Dvivedi, with original commentaries in Sanskrit and Hindi, Vols. I and II (Lucknow, 1911, 1926). English translation of the text only by Bapu Deva Sastri and Wilkinson (Calcutta, 1861).
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34. *Siddhânta-tattva-viveka* by Kamalâkara (1658). Edited with the *Śeṣa-vâsanâ* of the author, *by* Sudhakara Dvivedi, Benares, 1885.
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35. *Śiṣya-dhî-vraddhida* by Lalla (598). Edited by Sudhakara Dvivedi, Benares, 1886. Commentary *by* Mallikârjuna Surî (1179). MS.
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36. *Sûrya-siddhânta.* Edited *by* F. E. Hall and Bapu Deva Sastri with the commentary of Raṅganâtha (Calcutta, 1859); *by* Sudhakara Dvivedi with an original commentary in Sanskrit (Calcutta, 1909-11). Translation into English, with critical notes *by* E. Burgess and W. D. Whitney; into Bengali with critical notes *by* Vijñânânanda Svâmî.
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37. *Tantra-saṃgraha* by Nîlakaṇṭha (1500). Commentary *by* an unknown writer. MS.
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38. *Triśatikâ* by Śrîdhara (750). Edited *by* Sudhakara Dvivedi, Benares, 1899. The principal rules in this text leaving the illustrative examples and their solutions, have been translated into English *by* N. Ramanujachariar and G. R. Kaye and published with notes and comments ("Triśatikâ of Śrîdharâcârya," *Bibl. Math.*, XIII (3), 1912-13, pp. 203ff.). Dvivedi's text is apparently incomplete. The manuscript in our collection, though not perfect, contains a few more rules and examples.