Volume 68 | Issue 9 | Year 2022 | Article Id. IJMTT-V68I9P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I9P512
Received | Revised | Accepted | Published |
---|---|---|---|
09 Aug 2022 | 11 Sep 2022 | 21 Sep 2022 | 30 Sep 2022 |
In this paper, we generalize the Yadadunam process for finding the nth power of any number. First, we define the application of the Yavadunam sutra for calculating the fourth and fifth power of any number. Further, we generalize the Yavaduman process for finding the n th power of any number.
[1] Tirthaji, Bharati Krishna, "Vedic Mathematics: Motilal Banarasidass." New Delhi, 1965.
[2] VedicMaths.Org, 2004. http://www.vedicmaths.org
[3] K. S. Shukla, "Vedic Mathematics—The Illusive Title of Swamiji’s Book." Mathematical Education, vol. 5, no. 3, 1989.
[4] K. Williams, Discover Vedic Mathematics Skelmersdale: Inspiration Books, 1984.
[5] B. Dhaval, “Vedic Mathematics Made Easy,” New Delhi: Jaico Publishing House, 2015.
[6] K. Krishna Prasad, “An Empirical Study on Role of Vedic Mathematics in Improving the Speed of Basic Mathematical Operations,” International Journal of Management, IT and Engineering, vol. 6, no. 1, pp. 161-171, 2016.
[7] S. G. Dani, “Myths and Reality: on Vedic Mathematics,” Frontline, vol. 10, no. 2, pp. 90-92, 1993.
[8] Shembalkar, Sayali, Et Al., “Vedic Mathematics Sutras,” A Review, International Conference on Recent Trends in Engineering Science and Technology (ICRTEST),” 2017.
[9] Kapoor, Sant Kumar, “Vedic Mathematics Skills,” Lotus Press, 2006.
[10] Bathia, Dhaval, “Vedic Mathematics Made Easy,” Jaico Publishing House, 2005.
[11] Thakur, Rajesh Kumar, “The Essentials of Vedic Mathematics,” Rupa Publications India, 2013.
[12] Kumar, G. Ganesh, and V. Charishma, “Design of High Speed Vedic Multiplier Using Vedic Mathematics Techniques,” International Journal of Scientific and Research Publications, vol. 2, no. 3, 2012.
[13] A. Kumar, "Vedic Mathematics Sutra: Upkar Prakasan," 2010.
[14] Parajuli, Krishna Kanta, "Square Roots in Vedic Mathematics," In Mathematics Education Forum Chitwan, vol. 4, no. 4, pp. 64-71, 2019.
[15] Amit. Goel, “Learn and Teach Mathematics,” Authors Press, 2006.
[16] Khare, S., & Gangele, R, “Comparative Study of Traditional and Vedic Mathematics Methods for the Study of Analytical Conics,” Research Review International Journal of Multidisciplinary, vol. 7, no. 8, pp. 49–53, 2022. https://doi.org/10.31305/rrijm.2022.v07.i08.007.
[17] Shivani Khare, “Applicability of Vedic Sutras to Study the Recurring Decimals,” 2022. https://doi.org/10.5281/zenodo.7082694
[18] Shivani Khare, “Vedic Sutras to Find The Cube of Any Digit By Considering Any Working Base”, IJRAR - International Journal of Research and Analytical Reviews , E-ISSN 2348-1269, P- ISSN 2349-5138, vol. 9, no. 3, pp. 869-874, 2022. Available at : http://www.ijrar.org/IJRAR22C2596.pdf .
[19] Garain, D. N., and Sanjeev Kumar, "Japanese vs Vedic Methods for Multiplication," International Journal of Mathematics Trends and Technology, vol. 54, no. 3, pp. 228-235, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P525.
[20] Garain, D. N., and Sanjeev Kumar, "Analytical Discussion for Existence of Idea of Calculus in Vedic and Post Vedic Periods," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 2, pp. 85-88. 2018. Crossref, https://doi.org/ 10.14445/22315373/IJMTT-V61P512.
[21] Kahar, Dravik KishorBhai, and Harsh Mehta, "High Speed Vedic Multiplier Used Vedic Mathematics," 2017 International Conference on Intelligent Computing and Control Systems (ICICCS), IEEE, 2017.
[22] Nicholas, Andrew P., Kenneth R. Williams, and Jeremy Pickles, “Vertically and Crosswise: Applications of The Vedic Mathematics o Sutra,” Motilal Banarsidass Publication , vol. 6, 2003.
[23] Glover, James T, “Vedic mathematics for schools,” Motilal Banarsidass Publication, vol. 2, 2001.
[24] Toro, Suyash, et al, "Division Operation Based on Vedic Mathematics, " 2016 IEEE International Conference on Advances in Electronics, Communication and Computer Technology (ICAECCT), IEEE, 2016.
[25] Kapoor, Sant Kumar, “ Vedic Mathematics Skills,” Lotus Press, 2006.
Shivani Khare, "Generalization of Yavadunam Sutra for Finding the nth Power of any Number," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 9, pp. 79-86, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I9P512