Abstract

Ancient India's history in mathematics and astronomy is proof of the great intellectual accomplishments of this advanced society. Indian academics have been making significant contributions to various subjects since antiquity, leaving a lasting impression on the annals of human knowledge. The ancient Indians made accurate astronomical equipment like the sundial and astrolabe and developed advanced observing methods. The "Aryabhatiya," a foundational book that addressed a variety of astronomical themes, including the heliocentric model of the solar system, was written in the fifth century CE by the well-known Aryabhata. With the introduction of the decimal system, which established the groundwork for contemporary algebra and arithmetic, mathematics flourished in ancient India. In the seventh century CE, the Brahmagupta wrote the "Brahmasphutasiddhanta," which delves into complex mathematical ideas and introduces zero as a placeholder and solutions to quadratic equations.

References

1. Pingree, D. (1963). The recovery of early Greek astronomy from India. Journal for the History of Astronomy, 4(1), 1-12.
2. Gupta, R. C. (2004). Mathematics in ancient India. Motilal Banarsidass Publ.
3. Sarma, N. V. (2008). The astronomical instruments of ancient India. Motilal Banarsidass Publ.
4. Shukla, K. S. (1976). Varahamihira and his times. Nag Publishers.
5. Datta, B., & Singh, A. N. (1938). History of Hindu mathematics: A source book. Asia Publishing House.
6. Ifrah, G. (2000). The universal history of numbers: From prehistory to the invention of the computer. John Wiley & Sons.
7. Katz, V. J. (1995). Ideas of Calculus in Islam and India. Mathematics Magazine, 68(3), 163-174.
8. Whitney, W. D. (1899). Jyotisha, or Indian astronomy and astrology. Journal of the American Oriental Society, 20, 311-324.
9. Sen, S. N. (1985). Ancient Indian geometry and its application. New Age International.
10. Chatterjee, S. (1930). Some observations on ancient Hindu astronomy. The Observatory, 53, 181-183.
11. Plofker, K. (2009). Mathematics in India. Princeton University Press.
12. Pingree, D. (1981). Jyotiḥśāstra: Astral and mathematical literature. Otto Harrassowitz Verlag.
13. Proust, Christine. 2005. Le calcul sexagésimal en Mésopotamie. Culture Math 2005: 2005.
14. Otis, Jessica. 2017. “Set Them to the Cyphering Schoole”: Reading, Writing, and Arithmetical Education, circa 1540–1700. Journal of British Studies 56: 453–82.
15. Parshall, Karen Hunger. 2004. Defining a Mathematical Research School: The Case of Algebra at the University of Chicago, 1892–1945. Historia Mathematica 31: 263–78.
16. Remmert, Volker R., Martina R. Schneider, and Henrik Kragh Sørensen, eds. 2016a. Historiography of Mathematics in the 19th and 20th Centuries. New York: Springer.
17. Robson, Eleanor. 2008. Mathematics in Ancient Iraq: A Social History. Princeton: Princeton University press.
18. Corry, Leo. 1996. Modern Algebra and the Rise of Mathematical Structures. Basel: Birkhäuser.
19. Kotyk, Jeffrey. 2018a. Astrological Determinism in Indian Buddhism. Journal of the International Association of Buddhist Studies 41: 145–67.
20. Mak, Bill M. 2015. The Transmission of Astral Science from India to East Asia: The Central Asian Connection. Historia Scientiarum 24: 59–75.
21. Barton, Tamsyn S. 1994. Ancient Astrology. London: Routledge.
22. Aston, William George. 1972. Nihongi: Chronicles of Japan from the Earliest Times to A.D. 697. Rutland: C.E. Tuttle Co.
23. Gupta, R.C. New Indian values of π from the Manava Sulbasutra. Centaurus 1988, 31, 114–125.
24. Kulkarni, R.P. The value of π known to Sulbasutrakaras. Indian J. Hist. Sci. 1978, 13, 32–41.