Ankita Sharma(1) and Anuj Kumar Sharma(2)
1. Department of Statistics, University of Delhi, Delhi,
2. Department of Mathematics, Shyam Lal College, University of Delhi, Delhi
Abstract:
From the Ancient period, Indian mathematicians played a significant role in the evolution and the development of mathematics by introducing fundamental concepts such as zero, geometry, astronomy, decimal system, arithmetic operations, astronomy calculation, binary number (0 or 1), algebra, and trigonometry. Introducing place value numeration as well as the invention of zero are of their greatest contributions. Additionally, they contribute in an advanced mathematical technique to solve the real-life problems like the Pythagorean theorem, methods for squaring the circle, and circling the square, as well as simple combinatorics and speculation on infinity. Indian mathematicians also have a deep root in mathematical astronomy, solving quadratic equation, computing planetary positions and eclipses. They have made several general contributions to mathematics, science, and technology, and now it influencing not only mathematicians and but also scientists all over the worldwide to solve real life problems and it proves that the concept of “Vasudhaiva Kutumbakam” (Sanskrit: वसुधैव कुटुम्बकम्) is deeply imbibed among the Indian mathematicians.
Full Text:
Significant Contribution of Ancient Bhartiya Mathematician towards Vasudhaiva Kutumbakam
References:
1. Abul, Basar., Bhavanari, Satyanarayana., Poonam, Kumar, Sharma., M., Y., Abbasi. (2021). Glimpses of contributions of some top Indian mathematicians: A review article. doi: 10.22271/MATHS.2021.V6.I6A.751.
2. Amartya, Kumar, Dutta. (2002). Mathematics in ancient India: 1. An overview. Resonance, doi: 10.1007/BF02836134.
3. Anil, Chandra, Jha., Dinesh, Panthi., Shailendra, Kumar, Mishra. (2023). Hindu mathematics in the early classical period. Journal of mathematical problems, equations and statistics, doi: 10.22271/math.2023.v4.i2a.100.
4. B., S., Yadav., Man, Mohan. (2011). Ancient Indian leaps into mathematics. doi: 10.1007/978-0-8176-4695-0.
5. C., R., Pranesachar. (2012). Brahmagupta, mathematician par excellence. Resonance, doi: 10.1007/S12045-012-0023-X.
6. David, H., Bailey., Jonathan, M., Borwein. (2014). Ancient Indian Square Roots. doi: 10.1007/978-94-007-3934-5_10265-1.
7. Efrén, O., Pérez. (2022). History of Ancient Indian Mathematics. doi: 10.4324/9781003033448-6.
8. Francisco, Regis, Vieira, Alves. (2020). Brahmagupta e alguns elementos históricos da matemática hindu. Revista Thema, doi: 10.15536/THEMA.V16.2019.755-773.1564.
9. Gabriela, MARCHITAN. (2023). Istoria Didacticii Matematicii civilizației Indiei Antice. doi: 10.46727/c.steam-2023.p114-117.
10. Gurudeo, Anand, Tularam. (2010). Vedas and the Development of Arithmetic and Algebra. Journal of Mathematics and Statistics, doi: 10.3844/JMSSP.2010.468.480.
11. Gurudeo, Anand, Tularam. (2012). Investigating the Development of Arithmetic and Algebra in Vedic India: Tribute to Swami Dayananda Saraswati.
12. Ham,, B., S.. (2022). Historical Prelude and Introduction. doi: 10.1007/978-981-19-6132-8_1.
13. K., Ramasubramanian. (2019). Second-Order Interpolation in Indian Mathematics up to the Fifteenth Century. doi: 10.1007/978-981-13-1229-8_27.
14. Kalpana, J., Modi. (2013). Development of mathematics in india. Research Papers in Economics.
15. Malathi, R., & Venugopal, T. (2016). Jaina logic and Rules of inference–A Prologue. Global Journal of Pure and Applied Mathematics (GJPAM), 12(1), 2016.
16. Puttaswamy, T. K. (2012). Mathematical achievements of pre-modern Indian mathematicians. Newnes.
17. R., K., Bhattacharyya. (2009). Brahmagupta: The Ancient Indian Mathematician. doi: 10.1007/978-0-8176-4695-0_12.
18. Sarah, Glaz. (2013). Mathematical Ideas in Ancient Indian Poetry.
19. S., G., Dani. (2012). Ancient Indian mathematics — A conspectus. Resonance, doi: 10.1007/S12045-012-0022-Y
20. Satya, Anshu., N., Shiva, Kumar. (2015). On the history of indian mathematics.
21. Sharon, Heidenreich. (2023). Development of Mathematics in Medieval Andhradesa. doi: 10.9734/bpi/rhmcs/v8/9687f.
22. Sinha, K. N. (1985). Śrîpati: An eleventh-century Indian mathematician. Historia Mathematica, 12(1), 25-44. https://doi.org/10.1016/0315-0860(85)90066-7
23. Steven, G., Krantz., Arni, S.R., Srinivasa, Rao. (2021). Ancient Indian mathematics needs an honorific place in modern mathematics celebration. arXiv: History and Overview.
24. T.E.Girish., C., Radhakrishnan, Nair. (2011). Ideas of Physical Forces and Differential Calculus in Ancient India. arXiv: General Physics,
25. Toke, Lindegaard, Knudsen. (2018). Mathematics in India until 650 CE. doi: 10.1093/OXFORDHB/9780199734146.013.52.
26. T., K., Puttaswamy. (2012). Mathematical Achievements of Pre-modern Indian Mathematicians.
27. Vijay, P, Sangale., Govardhan, K, Sanap. (2022). A Study of Decimal Place Value System in Ancient Indian Mathematics. International Journal of Advanced Research in Science, Communication and Technology, doi: 10.48175/ijarsct-5166