[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Census of the Exact Sciences in Sanskrit, Series A](https://indike.org/pramana/ins.science.pingree-1970) › v1.c5 # Census of the Exact Sciences in Sanskrit, Series A v1.c5: Bibliography Census of the Exact Sciences in Sanskrit, Series A v1.c5 - **Language:** English ## Contents - [v1.c5.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1) — 5 parts - [v1.c5.124](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.124) — 7 parts - [v1.c5.125](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.125) — 7 parts - [v1.c5.126](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.126) — 5 parts - [v1.c5.190](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.190) — 5 parts - [v1.c5.191](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.191) — 9 parts - [v1.c5.194](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.194) — 5 parts - [v1.c5.200](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200) — 9 parts - [v1.c5.263](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.263) — 5 parts ### Bibliography ### [v1.c5.1.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.1) Abbott, Nabia \[1937\]. “Indian Astrolabe Makers,” \*Islam\* C 11, 1937, 144-146. Abhyankar, K. V. \[1944\]. “The Date and Time of the Bhārata War: a New Approach on Astronomical Considerations,” \*ABORI\* 25, 1944, 116-136. —— \[1946\]. “The Precession of the Equinoxes and its Discovery in India,” \*Acharya Dhruva Smaraka Grantha\*, Ahmadabad 1946, vol. 3, pp. 155-164. —— \[1947a\]. “Omission and Repetition of Tithis or Lunar Days,” \*ABORI\* 28, 1947, 96-111. —— \[1947b\]. “The Indian Origin of the Week-days,” \*PO\* 12, 1947, 62-68. —— \[1962\]. “Kṣayamāsa and Performance of Religious Rites in it,” \*ABORI\* 43, 1962, 159-162. Acharya, B. N. \[1954\]. “Reconciliation of Contradictory Statements in the Works of, and Regarding Practical and Applied Astrology (Phaladeśa),” \*JUB\* 23, 2 (Arts 29), 1954, 92-97. —— \[1957\]. “The Philosophy of Jyotiṣa-śāstra,” \*PAIOC\* (Summaries of Papers) 19, 1957, 141. Acharya, P. \[1962\]. “Note on the Navagraha Slab in the Temples of Orissa,” \*OHRJ\* 11, 1962, 67-72. Acharya, P. K. \[1926\]. “Hindu System of Measurement,” \*AUS\* 2, 1926, 43-77. —— \[1928\]. “Determination of Cardinal Points by Means of a Gnomon,” \*PAIOC\* 5, 1, 1928, 414-427. Agashe, V. T. \[1920/21\]. “The Two Rohinis,” \*ABORI\* 2, 1920-21, 91-96. Agrawala, Ratna Chandra \[1952\]. “A Study of Weights and Measures as Depicted in the Kharoshthi Documents from Chinese Turkestan,” \*JBRS\* 38, 1952, 359-368. Agrawala, V. S. \[1957/58\]. “A Further Reference to Pussamānava,” \*JOI Baroda\* 7, 1957-58, 24. Aiyangar, T. V. ### [v1.c5.1.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.2) Srinivasa. \[1929\]. “The Present Kaliyuga,” \*JOR Madras\* 3, 1929, 225-230. Aiyar, B. V. Kameśvara (=Ayyar). \[1919\]. “The Lunar Zodiac in the Brāhmaṇas,” \*IA\* 48, 1919, 95-97. —— \[1920/23\]. “The Solar Signs in Indian Literature,” \*QJMS\*, 11, 1920-21, 267-279 and 312-326; 12, 1921-22, 67-89; and 13, 1922-23, 511-516 and 614-617. —— \[1921/22\]. “The Age of the Brāhmaṇas,” \*QJMS\* 12, 1921-22, 171-195; 223-249; and 357-366. Aiyar, C. A. Subramania. See C. S. Patel and C. A. S. Aiyar \[1957\]. Aiyar, P. V. Seshu. \[1910\]. “A Historical Note on Indeterminate Equations,” \*JIMS\* 2, 1910, 216-219. Aiyar, T. V. Vedamurthi. See C. T. Rajagopal and T. V. V. Aiyar \[1951\] and \[1952\]. Aiyer, Velandai Gopala. \[1901\]. The Chronology of Ancient India, Madras 1901. Ali, S. M. \[1963\]. “Geography in Ancient India,” \*BNISI\* 21, 1963, 258-280. —— \[1966\]. The Geography of the Puranas, New Delhi 1966. Alsdorf, Ludwig. \[1938\]. “Zur Geschichte der Jaina-Kosmographie und Mythologie,” \*ZDMG\* 92, 1938, 464-493. —— \[1947\]. “Further Contributions to the History of Jain Cosmography and Mythology,” \*NIA\* 9, 1947, 105-128. Annandale, Nelson. \[1905/07\]. “Indian Weighing-beams,” \*MASB\* 1, 1905-07, suppl. iv-v. —— \[1918\]. “A Bismer Weighing-beam from the Darjeeling District,” \*JAS Bengal\*, NS 14, 1918, 243-244. Anonymous. \[1772\]. “Sur l’astronomie des Indiens,” \*MHARS\*, 1772, pt. 2, 93-112. —— \[1834\]. “Professor Schlegel’s Enigma. ### [v1.c5.1.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.3) Mode of Expressing Numerals in the Sanskrit and Tibetan Languages,” \*JAS Bengal\* 3, 1, 1834, 1-8. —— \[1844\]. “The Astronomy of the Hindus,” \*CR\* 1, 1844, 257-290. —— \[1850\]. “The Oriental Astronomer,” \*CR\* 13, 1850, 65-85. —— \[1914/15a\]. “The Date of the Bharata War and Antiquity of Indian Civilization,” \*QJMS\* 5, 1914-15, 115-120. —— \[1914/15b\]. “The Sankranti Festival,” \*QJMS\* 5, 1914-15, 121. Apte, G. S. \[1934\]. “Our Vedic and Modern Calendar,” \*Ojha Commemoration Volume\*, Allahabad 1934 (in Hindi). Apte, R. N. \[1925/26\]. “Some Points Connected with the Constructive Geometry of the Vedic Altars,” \*ABORI\* 7, 1925-26, 1-16. Athavale, V. B. \[1946/47a\]. “The Co-ordination of Bhārata Events,” \*JGJRI\* 4, 1946-47, 125-158. —— \[1946/47b\]. “Date of the Kuru War,” \*JGJRI\* 4, 1946-47, 229-233. —— \[1947\]. “A Summary of the Research Work Done with Regard to the Chronology and Geography of the Events in the Life History of Shri Kṛṣṇa and the Pāṇḍava Brothers,” \*PO\* 12, 1947, 34-39. Atle, Narayan Sastri. \[1943\]. “Bhūpālavallabha,” \*NPP\* 47, 1943, 245-254. Aufrecht, Theodor. \[1891\]. “Ueber die Prauḍhamanoramā von Divākara,” \*ZDMG\* 45, 1891, 303-304. Ayachit, S. M. \[1965\]. “Mahādeva Dīkṣita Somayājin and Hiraṇyakeśi-Śākhā,” \*VSM\*, 1965, 116-137. Ayer, R. Krishnamurthy. \[1951\]. “Ancient and Modern Astronomy,” \*SGPVB\* 2, 1951, 7-9. Ayer, V. A. K. \[1946\]. Everyday Astrology, Bombay 1946. Ayyangar, A. A. Krishnaswami. \[1923/24a\]. “The Hindu Sine-Table,” \*JIMS\* 15, 1923-24, 121-126. ### [v1.c5.1.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.4) —— \[1923/24b\]. “A Classical Indian Puzzle-Problem,” \*JIMS\* 15, 1923-24, 214-223. —— \[1925/26\]. “The Mathematics of Aryabhata,” \*QJMS\* 16, 1925-26, 158-179. —— \[1927/29\]. “The Hindu Arabic Numerals,” \*QJMS\* 18, 1927-28, 256-267; and 19, 1928-29, 29-40 and 115-133. —— \[1929/30a\]. “Bhaskara and Samclishta Kuttaka,” \*JIMS/NQ\* 18, 1929-30, 1-7. —— \[1929/30b\]. “New Proofs of Old Theorems,” \*JIMS/NQ\* 18, 1929-30, 151-153. —— \[1929/30c\]. “New Light on Bhaskara’s Chakravala or Cyclic Method of Solving Indeterminate Equations of the Second Degree in Two Variables,” \*JIMS/NQ\* 18, 1929-30, 225-248. —— \[1933\]. “Some Glimpses of Ancient Hindu Mathematics,” \*MS\* 1, 1933, 1-18. —— \[1939\]. “The Bakshāli Manuscript,” \*MS\* 7, 1939, 1-16. —— \[1945\]. “Peeps into India’s Mathematical Past,” \*JMU\*, NS Arts 5, 1945, 101-115. —— \[1950\]. “Remarks on Bhaskara’s Approximation to the Sine of an Angle,” \*MS\* 18, 1950, 12. —— \[1952\]. “Indian Magic Squares,” \*MS\* 20, 1952, 166. Reprinted in \*SM\* 20, 1954, 202. Bag, Amulya Kumar. \[1966a\]. “Binomial Theorem in Ancient India,” \*IJHS\* 1, 1966, 68-74. —— \[1966b\]. “Trigonometrical Series in the Karanapaddhati and the Probable Date of the Text,” \*IJHS\* 1, 1966, 98-106. Bailly, Jean Sylvain. \[1777\]. \*Lettres sur l’origine des sciences\*, 2 vols., Paris 1777. —— \[1787\]. \*Traité de l’astronomie indienne et orientale\*, Paris 1787. Bakhmutskafā, E. IA. \[1960\]. “Stepennye rîady dlîa sin ϑ i cos ϑ v rabotakh Indiiskiikh matematikov XV-XVIII vv.,” \*IMI\* 13, 1960, 325-334. ### [v1.c5.1.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.1.5) —— \[1961\]. \*Beskoneśnye rîady v rabotakh matematikov iujnoi Indii v XV-XVIII vv.\*, Moskva 1961. Balagangadharan, K. \[1947\]. “A Consolidated List of Hindu Mathematical Works,” \*MS\* 15, 1947, 55-70. ### [v1.c5.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.2) Banerjee, Gauranga Nath. \[1919\]. \*Hellenism in Ancient India\*, Calcutta 1919; 2nd ed., Calcutta 1920. Reprinted Delhi 1961. ### [v1.c5.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.3) Banerjee, Jitendra Nath. \[1925\]. “The Representation of Surya in Brahmanical Art,” IA 54, 1925, 161-171. ### [v1.c5.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.4) \_\_\_\_\_\_. \[1939\]. “Chapter LVIII of Varāhamihira’s Bṛhat-saṃhitā,” PIHC 3, 1939, 176-184. ### [v1.c5.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.5) \_\_\_\_\_\_. \[1948\]. “Surya,” JISOA 16, 1948, 47-100. ### [v1.c5.6](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.6) Banerji, A. \[1960\]. “Identification of Vyāghrataṭī Maṇḍala,” IHQ 36, 1960, 78-79. ### [v1.c5.7](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.7) Banerji, B. N. \[1893\]. \*Easy Oriental Astrology or Ramal-vidya\*, Calcutta 1893. ### [v1.c5.8](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.8) Banerji, Suresh Chandra (=Banerjee). \[1939\]. “Kaḷyāṇavarman, a New Name in the History of Bengal,” PIHC 3, 1939, 577. ### [v1.c5.9](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.9) \_\_\_\_\_\_. \[1941/42\]. “Tithiviveka of Śūlapāṇi,” PO 6, 1941-42, 230-235; and 7, 1942, 85-93. ### [v1.c5.10](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.10) \_\_\_\_\_\_. \[1942/43\]. “Śūlapāṇi, the Sāhuḍiyān,” NIA 5, 1942-43, 145-156 and 169-176. ### [v1.c5.11](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.11) \_\_\_\_\_\_. \[1944/45\]. “Post-Raghunandana Smṛti Writers of Bengal,” NIA 7, 1944-45, 105-110. ### [v1.c5.12](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.12) \_\_\_\_\_\_. \[1957\]. “Minor Smṛti Writers of Bengal,” IHQ 33, 1957, 191-200. ### [v1.c5.13](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.13) Banerji-Sastri, A. \[1928\]. “Weights in Ancient India: Patna Cylinders,” JBORS 14, 1928, 75-82. ### [v1.c5.14](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.14) \_\_\_\_\_\_. \[1937\]. “Aya Months,” JBORS 23, 1937, 261-268. ### [v1.c5.15](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.15) Bardhan, U. C. \[1961\]. “The Concept of Zero in the Mathematics of Ancient India,” SC 26, 1961, 282-285. ### [v1.c5.16](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.16) Bareau, André. \[1959\]. “Constellations et divinités protrectrices des marchands dans le bouddhisme ancien,” JA 247, 1959, 303-309. ### [v1.c5.17](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.17) Barker, Robert. \[1777\]. “An Account of the Brahmin’s Observatory at Benares,” PTRSL 67, 1777, pt. 2, 598-607. ### [v1.c5.18](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.18) Bayer, Gottlieb Siegfried. \[1738\]. \*Historia regni Graecorum Bactriani\*, Petropoli, 1738. ### [v1.c5.19](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.19) Bayley, E. Clive. \[1882/83\]. “On the Genealogy of Modern Numerals,” JRAS, 1882, 335-376 and 1883, 1-72. ### [v1.c5.20](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.20) Bedekar, V. M. \[1960\]. “Śukrācārya in the Mahābhārata,” PO 24, 1960, 91-103. ### [v1.c5.21](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.21) Belaiew, N. T. \[1933\]. “The Bismar in Ancient India,” AE 18, 1933, 76-80. ### [v1.c5.22](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.22) Belḷankin, I. I. \[1908\]. \*Kratkii očerk pazvetiia matematiki ot drevneišikh vremen do našikh dnei\*, Kiev 1908. ### [v1.c5.23](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.23) Bell, E. T. \[1946\]. “Mahavira’s Diophantine System,” BCMS 38, 1946, 121-122. ### [v1.c5.24](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.24) Benedict, Suzan Rose. \[1916\]. \*A Comparative Study of the Early Treatises Introducing into Europe the Hindu Art of Reckoning\* \[Concord, N. H. 1916\]. ### [v1.c5.25](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.25) Bentley, John. \[1797\]. “Remarks on the principal Æras and Dates of the Ancient Hindus,” AR 5, 1797, 315-343. ### [v1.c5.26](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.26) \_\_\_\_\_\_. \[1799\]. “On the Antiquity of the Sūrya Siddhānta, and the Formation of the Astronomical Cycles therein contained,” AR 6, 1799, 537-588. ### [v1.c5.27](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.27) \_\_\_\_\_\_. \[1805\]. “On the Hindu Systems of Astronomy, and their Connection with History in Ancient and Modern Times,” AR 8, 1805, 193-244. ### [v1.c5.28](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.28) \_\_\_\_\_\_. \[1823\]. \*Historical View of Hindu Astronomy\*, Calcutta 1823. Reprinted London 1825. ### [v1.c5.29](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.29) Bergaigne, Abel. \[1885\]. “M. Ludwig et la chronologie du Rg-Veda,” JA 8, 6, 1885, 372-384. ### [v1.c5.30](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.30) Bhagwan Das. \[1920\]. \*Hindu Aryan Astronomy\*, Dehra Dun 1920. ### [v1.c5.31](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.31) Bhandarkar, A. S. \[1941/42\]. “Method of False Assumption’ of Pacioli, an Italian Mathematician,” IC 8, 1941-42, 256-257. ### [v1.c5.32](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.32) \_\_\_\_\_\_. \[1954\]. “The Decimal Notation,” JBBRAS, NS 29, 1, 1954, 94-95. ### [v1.c5.33](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.33) Bhandarkar, D. R. \[1902\]. “The Ājīvikas,” JBBRAS 20, 1902, 399-405. ### [v1.c5.34](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.34) Bhandarkar, Ramkrishna Gopal. \[1887/89\]. “The Epoch of the Gupta Era,” JBBRAS 17, 1887-89, pt. 2, 80-98. Reprinted in R. G. Bhandarkar \[1927/33\] vol. 3, pp. 384-405. ### [v1.c5.35](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.35) \_\_\_\_\_\_. \[1927/33\]. \*Collected Works of Sir R. G. Bhandarkar\*, ed. N. B. Utgikar and V. G. Paranjpe, GOS (Bombay) B 1-4, 4 vols., Poona 1927 (vol. 3), 1928 (vol. 2), 1929 (vol. 4), and 1933 (vol. 1). ### [v1.c5.36](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.36) Bharadwaj, B. M. \[1945\]. \*Astrology of Annual Readings\*, Shipur \[1945\]. ### [v1.c5.37](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.37) Bhat, M. Manappa. \[1945\]. “Mathematics in Karnataka of the Middle Ages,” \*Bhārata-Kaumudi\*, vol. 1, Allahabad 1945, 127-136. ### [v1.c5.38](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.38) Bhatt, Harihar P., and B. K. Patwa. \[1945\]. “The Heliacal Risings and Settings of Heavenly Bodies,” JGRS 7, 1945, 75-76. ### [v1.c5.39](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.39) Bhatt, P. N. \[1953\]. “Sun-cult in Gujarat and Saurashtra,” PAIOC 17, 1953, 429-436. ### [v1.c5.40](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.40) Bhattacharya, Bhabatosh. \[1941\]. “Khañjana-darśana,” \*A Volume of Studies in Indology\*, POS 75, Poona 1941, 67-69. ### [v1.c5.41](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.41) \_\_\_\_\_\_. \[1941/42\]. “Govindānanda’s Refutation of Śrīdatta’s Views,” IC 8, 1941-42, 263-266. ### [v1.c5.42](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.42) \_\_\_\_\_\_. \[1944/45\]. “Caṇḍeśvara’s Indebtedness to Ballāla Sena,” IC 11, 1944-45, 141-144. ### [v1.c5.43](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.43) \_\_\_\_\_\_. \[1953/54\]. “Raghunandana’s Indebtedness to his Predecessors,” \*JASB/L\* 19, 1953, 151-202; and 20, 1954, 67-176 and 227-312. ### [v1.c5.44](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.44) \_\_\_\_\_\_. \[1961\]. “The \*Varṣakriyākaumudī\* of Govindānanda Kavikaṅkaṇācārya,” \*Brahmavidyā\* 25, 1961, 505-510. ### [v1.c5.45](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.45) \_\_\_\_\_\_. \[1963/64\]. “Studies in \*Dharmaśāstra\*,” ISPP 5, 1963-64, 99-111; 275-281; and 283-309. Reprinted Calcutta 1964. ### [v1.c5.46](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.46) \_\_\_\_\_\_. \[1965/67\]. “Studies in \*Nibandhas\*,” ISPP 7, 1965-66, 113-122 and 451-454; and 8, 1966-67, 37-40; 203-209; 243-265; and 303-330. Reprinted Calcutta 1968. ### [v1.c5.47](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.47) Bhattacharya, R. N., and A. 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