<!-- Pramāṇa, a library of Indian primary sources · https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200 -->

[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.c5.200

# Census of the Exact Sciences in Sanskrit, Series A v1.c5.200

Census of the Exact Sciences in Sanskrit, Series A v1.c5.200

- **Language:** English

### [v1.c5.200.1](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.1)

Sastri, T. S. Kuppanna. \[1955/56\]. “The Vāsiṣṭha Sun and Moon in Varāhamihira’s Pañcasiddhāntikā,” \*JOR Madras\* 25, 1955-56, 19-41. \[1958/59\]. “The Bījopanaya: Is it a Work of Bhāskarācārya?” \*JOI Baroda\* 8, 1958-59, 399-409. Sastri, T. S. K., and K. V. Sarma. \[1958\]. “The Śaka Era of Varahamihira—Salivahana Śaka,” \*JIH\* 36, 1958, 343-367. Sastri, T. S. K., and K. V. Sarma. \[1959/61\]. “Vākyakaraṇa,” \*JOR Madras\* 29, 1959-60, suppl.; and 30, 1960-61, suppl. Reprinted Madras 1962. Sastri, V. Subrahmanya. \[1930/31\]. “Aryan Parentage of Astronomical Systems of Chaldea, China, and India,” \*QJMS\* 21, 1930-31, 197-205. Sastry, M. V. Vaidyanatha. \[1940\]. “Heliacal Rising of the Moon,” \*MS\* 8, 1940, 80-81. Sastry, S. Subrahmanya. \[1945\]. “The Interpretation of the Double Dates Aṇḍu and Edir Aṇḍu in the Regnal Years of Certain Cōḷa, Pāṇḍya and Other Kings,” \*JSVOI\* 6, 1945, 11-22. Sayili, Aydin. \[1960\]. \*The Observatory in Islam\*, Publ. Turkish Historical Soc. 7, 38, Ankara 1960. Schaubach, Johann Konrad. \[1811\]. “De studii astronomici apud Indos origine et antiquitate commentatio ex commentariis Societatis Calcuttensis delineata,” \*CSRSGR\* 1, 1811, cl. math., 32 pp. \[1811/13\]. “De Indorum modo, loca et motus planetarum definiendi commentatio,” \*CSRSGR\* 2, 1811-13, cl. math., 1-28. \[1812\]. “Untersuchungen über die indische Astronomie,” \*AJ\*, 1812, 112-115. \[1813\]. \*Über die Chronologie der Indier, nach den Asiatic Researches\*, \*MCBE\* 27, 1813, 135-147 and 227-246. Scheftelowitz, J.

### [v1.c5.200.2](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.2)

\[1929\]. \*Die Zeit als Schichsalsgottheit in der indischen und iranischen Religion\*, BISR 4, Stuttgart 1929. \[1931\]. “Die bedeutungsvolle Zahl 108 im Hinduismus und Buddhismus,” \*Studia Indo-Iranica\*, Leipzig 1931, pp. 85-88. \[1933\]. “Varāhamihira’s Bṛhat-Saṃh. c. 58 und das Bhaviṣya-Purāṇa,” \*Festschrift Moriz Winternitz\*, Leipzig 1933, pp. 51-55. Schmidt, Olaf H. \[1944\]. “The Computation of the Length of Daylight in Hindu Astronomy,” \*Isis\* 35, 1944, 205-211. \[1952\]. “On the Computation of the Ahargaṇa,” \*Centaurus\* 2, 1952, 140-180. Schram, Robert Gustav. \[1889\]. “Tables for the Approximate Conversion of Hindu Dates,” \*IA\* 18, 1889, 290-299. \[1908\]. \*Kalendariographische und chronologische Tafeln\*, Leipzig 1908. Seal, Brajendranath. \[1915\]. \*The Positive Sciences of the Ancient Hindus\*, London 1915. Reprinted Delhi, 1958. \[1935\]. “Hindu and Greek Contributions to Mathematical Sciences,” \*JUPHS\* 8, 1935, 62-70. Sedillot, Louis P. E. A. \[1845/49\]. \*Matériaux pour servir à l’histoire comparée des sciences mathématiques chez les Grecs et les Orientaux\*, 2 vols., Paris 1845-1849. \[1863\]. \*Courtes observations sur quelques points de l’histoire de l’astronomie et des mathematiques chez les Orientaux\*, Paris 1863. \[1875\]. “Grande exécution d’autome,” \*BB\* 8, 1875, 457-468. Sen, Amulya Chandra. \[1932\]. “Some Cosmological Ideas of the Jainas,” \*IHQ\* 8, 1932, 43-48. Sen, Nilmadhav. \[1952\]. “An Astronomical Basis for Fixing the Age of Kālidāsa (Criticism),” \*JRASB/L\* 18, 1952, 5-6.

### [v1.c5.200.3](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.3)

Sen, Sures Chandra. \[1937\]. “On the Meteorological Concepts of the Ancient Hindus,” \*JDL/UC\* 29, 1937, art. 9, pp. 1-12. Sen, S. N. \[1963a\]. “Transmission of Scientific Ideas between India and Foreign Countries in Ancient and Medieval Times,” \*BNISI\* 21, 1963, 8-30. \[1963b\]. “Āryabhaṭa’s Mathematics,” \*BNISI\* 21, 1963, 297-319. \[1966\]. \*A Bibliography of Sanskrit Works on Astronomy and Mathematics, Pt. 1: Manuscripts, Texts, Translations and Studies, New Delhi \[1966\]. Sengupta, Prabodh Candra. \[1918/19\]. “Origin of the Indian Cyclic Method for the Solution of Nx²+1=y²,” BCMS 10, 1918-19, 73-80. Reprinted in JDS/UC 2, 1920, 69-76. \_\_\_\_. \[1920/21\]. “Aryabhata’s Method of Determining the Mean Motions of Planets,” BCMS 12, 1920-21, 183-188. Reprinted in JDS/UC 4, 1922, 237-242. \_\_\_\_. \[1927a\]. “Time at Altitude in Indian Astronomy,” BCMS 18, 1927, 25-28. \_\_\_\_. \[1927b\]. “The Aryabhatiyam,” JDL/UC 16, 1927, art. 6, pp. 1-56. \_\_\_\_. \[1929\]. “Aryabhata, the Father of Indian Epicyclic Astronomy,” JDL/UC 18, 1929, art. 3, pp. 1-56. \_\_\_\_. \[1930\]. “Aryabhata’s Lost Work,” BCMS 22, 1930, 115-120. \_\_\_\_. \[1931a\]. “Brahmagupta on Interpolation,” BCMS 23, 1931, 125-128. \_\_\_\_. \[1931b\]. “Greek and Hindu Methods in Spherical Astronomy,” JDL/UC 21, 1931, art. 4, pp. 1-25. \_\_\_\_. \[1931c\]. “History of the Infinitesimal Calculus in Ancient Medieval India,” JDMV 40, 1931, 223-227. \_\_\_\_. \[1932a\]. “Hindu Luni-Solar Astronomy,” BCMS 24, 1932, 1-18. \_\_\_\_. \[1932b\].

### [v1.c5.200.4](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.4)

“Infinitesimal Calculus in Indian Mathematics—its Origin and Development,” JDL/UC 22, 1932, art. 5, pp. 1-17. \_\_\_\_. \[1934\]. “Age of the Brāhmaṇas,” IHQ 10, 1934, 533-540. \_\_\_\_. \[1937a\]. “Hindu Astronomy,” The Cultural Heritage of India, Calcutta 1937, vol. 3, pp. 341-377. \_\_\_\_. \[1937b\]. “Some Astronomical References from the Mahābhārata and Their Significance,” JRASB/L 3, 1937, 101-119. Expanded version “Date of the Bhārata Battle: Evidence from the Mahābhārata” in P. C. Sengupta \[1947\], pp. 1-33. \_\_\_\_. \[1938a\]. “Bhārata-Battle Traditions,” JRASB/L 4, 1938, 393-413. Expanded version “Date of the Bhārata Battle: Bhārata-Battle Traditions” in P. C. Sengupta \[1947\], pp. 34-59. \_\_\_\_. \[1938b\]. “Solstice Days in Vedic Literature,” JRASB/L 4, 1938, 415-434. Expanded version “Solstice Days in Vedic Literature and Yajurveda Antiquity” in P. C. Sengupta \[1947\], pp. 155-174. \_\_\_\_. \[1938c\]. “Madhu-Vidyā or the Science of Spring,” JRASB/L 4, 1938, 435-443. Expanded version “Madhu-Vidyā or the Science of Spring” in P. C. Sengupta \[1947\], pp. 60-71. \_\_\_\_. \[1938d\]. “When Indra became Maghavan,” JRASB/L 4, 1938, 445-453. Reprinted in P. C. Sengupta \[1947\], pp. 72-81. \_\_\_\_. \[1940/41\]. “Kaniṣka’s Era,” IC 7, 1940-41, 457-462. \_\_\_\_. \[1941a\]. “The Solar Eclipse in the Ṛgveda and the Date of Atri,” JRASB/L 7, 1941, 91-103. Expanded version in P. C. Sengupta \[1947\], pp. 101-131. \_\_\_\_. \[1941b\]. “Time Indications in the Baudhāyana Śrauta Sūtra,” JRASB/L 7, 1941, 207-214. Reprinted in P. C.

### [v1.c5.200.5](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.5)

Sengupta \[1947\], pp. 198-207. \_\_\_\_. \[1942\]. “The Gupta Era,” JRASB/L 8, 1942, 41-56. Reprinted in P. C. Sengupta \[1947\], pp. 244-262. \_\_\_\_. \[1944\]. “Hindu Astronomy,” SC 9, 1944, 522-526. \_\_\_\_. \[1945\]. “Astronomical Time-Indications in Kālidāsa,” JRASB/L 11, 1945, 14-23. Reprinted as “Time-Indications in Kālidāsa,” in P. C. Sengupta \[1947\], pp. 263-278. \_\_\_\_. \[1947\]. Ancient Indian Chronology, Calcutta 1947. \_\_\_\_. \[1950\]. “Researches in Ancient Indian Chronology,” JRASB/L 16, 1950, 1-12. \_\_\_\_. \[1950/53\]. “Date of the Bhārata War—A Rejoinder,” JGJRI 8, 1950-51, 203-214; and 10, 1952-53, 21-38. \_\_\_\_. \[1952\]. “A Note on Dr. Sen’s Criticism of a Chapter of the Work, ‘Ancient Indian Chronology,’” JRASB/L 18, 1952, 7. \_\_\_\_. \[1954\]. “A Note on Bhīṣmāṣṭamī or the Anniversary of Bhīṣma’s Expiry,” JASB/L 20, 1954, 39-41. \_\_\_\_. \[1956\]. “The Historicity of the Mahābhārata on the Basis of Astronomical Data,” JASB/L 22, 1956, 75-84. (Sepharial). \[1889\]. “Ancient Astronomy of the Hindus,” Lucifer 4, 1889, 27-31. Reprinted in Brahmavidyā 15, 1951, 49-58. Šerbatskoi, F. I. \[1962\]. “Naučnye dostijeniâ drevnei Indii,” Izbrannye trudy russkikh indologov-filologov, Moskva 1962, pp. 254-270. Sewell, Robert. \[1881\]. Chronological Tables for Southern India from the Sixth Century A.D., Madras 1881. \_\_\_\_. \[1898\]. Eclipses of the Moon in India, London 1898. \_\_\_\_. \[1912\]. Indian Chronography, London 1912. \_\_\_\_. \[1915\]. “A Correction in the Indian Calendar,” JRAS, 1915, 335-336. \_\_\_\_. \[1915/16\].

### [v1.c5.200.6](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.6)

“The Cycle of Jupiter, and the Names of the Samvatsaras Applied to Hindu Solar Years,” EI 13, 1915-16, 61-103. \_\_\_\_. \[1917/18a\]. “The True Longitude of the Sun in Hindu Astronomy,” EI 14, 1917-18, 1-67. \_\_\_\_. \[1917/18b\]. “The True Longitude of the Sun in Hindu Astronomy: The Siddhānta-Śiromaṇi,” EI 14, 1917-18, 241-264. \_\_\_\_. \[1919/20\]. “The Siddhāntaśiromaṇi,” EI 15, 1919-20, 159-245. Reprinted in R. Sewell \[1924\]. \_\_\_\_. \[1921/22\]. “The First Ārya-siddhānta,” EI 16, 1921-22, 100-221. Reprinted in R. Sewell \[1924\]. \_\_\_\_. \[1923/24a\]. “The First Āryasiddhānta: Mean System,” EI 17, 1923-24, 17-104. Reprinted in R. Sewell \[1924\]. \_\_\_\_. \[1923/24b\]. “The Brahmasiddhānta of Brahmagupta (A.D. 628),” EI 17, 1923-24, 123-187. Reprinted in R. Sewell \[1924\]. \_\_\_\_. \[1923/24c\]. “The Brahmasiddhānta of Brahmagupta (A.D. 628): Mean System,” EI 17, 1923-24, 205-290. Reprinted in R. Sewell \[1924\]. \_\_\_\_. \[1924\]. The Siddhāntas and the Indian Calendar, Calcutta 1924. Sewell, R., and S. B. Dikshit. \[1896\]. The Indian Calendar, London 1896. Shah, Harilal Amritlal. \[1935/49\]. “Vedic Gods,” ABORI 17, 1935-36, 97-176; 29, 1948, 227-270; and 30, 1949, 43-88. See also PAIOC 8, 1935, 41-58. Shah, Umakant Premanand. \[1954/55\]. “Vikramāditya-Saga,” JOI Baroda 4, 1954-55, 69-84 and 218-239. \_\_\_\_. \[1957/58\]. “Geographical and Ethnic Data from the Kāśyapa Saṃhitā,” JOI Baroda 7, 1957-58, 276-299. Shamasastry, R. (= Shamasastri). \[1908\]. Gavām Ayana. The Vedic Era, Mysore 1908. \_\_\_\_. \[1912\].

### [v1.c5.200.7](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.7)

“The Vedic Calendar,” IA 41, 1912, 26-32; 45-71; 77-84; and 117-124. \_\_\_\_. \[1913\]. “The Aṅgula of Six Yavas,” JRAS, 1913, 153-155. \_\_\_\_. \[1921/22\]. “Origin of the Week,” ABORI 4, 1921-22, 1-31. \_\_\_\_. \[1921/23\]. “Vishnu’s Three Strides: the Measure of Vedic Chronology,” JBBRAS 26, 1921-23, 40-56. \_\_\_\_. \[1923/24\]. “Dice-Play on the First Day of the White Half of the Month, Kartika,” QJMS 14, 1923-24, 117-119. \_\_\_\_. \[1924/25\]. “Vyushti or the New Year’s Day,” QJMS 15, 1924-25, 76-83. \_\_\_\_. \[1924/28\]. “A Brief Translation of Mahāvīra’s ‘Suryaprajñapti’ or ‘The Knowledge of the Sun,’” QJMS 15, 1924-25, 138-147; 16, 1925-26, 201-212; and 18, 1927-28, 32-45; 129-140; 196-209; and 274-287. \_\_\_\_. \[1929/30\]. “The Asvins,” QJMS 20, 1929-30, 80-88. \_\_\_\_. \[1935\]. “Light on the Vedāṅga-Jyotiṣa,” S. Kuppuswami Sastri Commemoration Volume. Madras \[1935\], pp. 143-149. See also PAIOC 8, 1935, 692-697. \_\_\_\_. \[1937\]. “The Vedic Cycle and Era of Thirty-three Years,” PAIOC 9, 1937. \_\_\_\_. \[1938\]. Drapsa. The Vedic Cycle of Eclipses, Mysore \[1950\]. “On Śrīdhara’s Rational Solution of Nx²+1=y²,” \*Ganita\* 1, 2, 1950, 1-12. \[1954a\]. “Ācārya Jayadeva, the Mathematician,” \*Ganita\* 5, 1954, 1-20. \[1954b\]. “On Three Stanzas from the Pañcasiddhāntikā,” \*Ganita\* 5, 1954, 129-136. \[1954c\]. “A Note on the Rāja-mṛgāṅka of Bhoja Published by the Adyar Library,” \*Ganita\* 5, 1954, 149-151. Sidersky, D. \[1932\]. “Une éclipse de soleil au temps d’Açoka,” \*JA\* 220, 1932, 295-297. Simon, Max. \[1911\].

### [v1.c5.200.8](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.8)

“Zur indischen Trigonometrie,” \*AMP\* 3, 18, 1911, 202. \[1913\]. “Zu Brahmaguptas diophantischen Gleichungen zweiten Grades,” \*AMP\* 3, 20, 1913, 280-281. Singh, Avadesh Narayan. See B. Datta and A. N. Singh \[1935/38\]; and G. Loria and A. N. Singh \[1937\]. \[1927\]. “On the Indian Method of Root Extraction,” \*BCMS\* 18, 1927, 123-140. \[1933a\]. “On the Evolution of the Word Numerals in India,” \*JUPHS\* 6, 1933. \[1933b\]. “On the Evolution of the Alphabetic Numerals in India,” \*JUPHS\* 6, 1933. \[1936a\]. “A Review of Hindu Mathematics up to the 12th Century,” \*Archeion\* 18, 1936, 43-62. \[1936b\]. “The History of Magic Squares in India,” \*Comptes rendus du congrès international des mathématiciens\*, Oslo 1936, vol. 2, pp. 275-276. \[1936c\]. “On the Arithmetic of Surds among the Ancient Hindus,” \*Mathematica\* 12, 1936, 102-115. \[1936d\]. “On the Use of Serials in Hindu Mathematics,” \*Osiris\* 1, 1936, 606-628. \[1937/38\]. “Hindu Mathematics,” \*SC\* 3, 1937-38, 521-527 and 579-585. \[1939a\]. “Hindu Superiority in Mathematics,” \*BMAUA\* 10, 1939. \[1939b\]. “Hindu Trigonometry,” \*PBMS\*, NS 1, 1939, 77-92. \[1942\]. “Mathematics of the Dhavala,” \*Satkhaṇḍāgama\* 4, 1942. \[1944\]. “The Origin of Geometry in India,” \*Proc. of 2000 Vikrama Celebration\*, Kanpur 1944. \[1947\]. “Ādhunika aṅkapraṇālīkī utpatti,” \*Kashi Vidyapith Silver Jubilee Volume\*, Benares 1947, pp. 105-109. \[1949\]. “History of Mathematics in India from Jain Sources,” \*Jaina Ant\* 15, 2, 1949. Singh, Sabal. \[1950\].

### [v1.c5.200.9](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200.9)

“Time of Śrīdharācārya,” \*ABORI\* 31, 1950, 267-272. Singh, Tribeni Prasad. \[1953\]. “The Astronomical Origin of Hindu Mythology,” \*JBRS\* 39, 1953, 293-305. Sinha, Shupti. \[1942\]. “Prācīna Bhāratīya Gaṇita,” \*NPP\* 47, 1942, 187-204. Sircar, Dinesh Chandra. \[1950\]. “Fractions in an Early Inscription,” \*JUG\* 1, 1950, 133-136. \[1952\]. “The Astrologer at the Village and the Court,” \*IHQ\* 28, 1952, 342-349. \[1959\]. “Capital of the Later Aulikaras,” \*IHQ\* 35, 1959, 73-75. \[1963\]. “The Account of the Yavanas in the Yuga-Purāṇa,” \*JRAS\*, 1963, 7-20. \[1965/66\]. “Cosmography and Geography in Early Indian Literature,” \*ISPP\* 7, 1965-66, 233-334 and 353-407. Sivaramamurti, C. \[1958\]. “Astrologia,” \*EUA\* 2, Roma 1958, cc. 134-138. Smith, David Eugene. \[1908\]. “The Ganita-Sāra-Sangraha of Mahāvīrācārya,” \*Atti del IV Congresso Internazionale dei Matematici\*, Roma 1908, vol. 3, pp. 428-431. \[1908/09\]. “The Ganita-Sara-Sangraha of Mahāvīrācārya,” \*BM\* 3, 9, 1908-09, 106-110. \[1913\]. “The Geometry of the Hindus,” \*Isis\* 1, 1913, 197-204. Smith, D. E., and J. Ginsburg. \[1918\]. “Rabbi ben Ezra and the Hindu-Arabic Problem,” \*AMM\* 25, 1918, 99-108.

---
Source: [https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200](https://indike.org/pramana/ins.science.pingree-1970.v1.c5.200) · Pramāṇa
