Vedic Sutras Mathematics with Application in Differentiation

Authors

  • Avdhesh Kumar Department of Mathematics, Jaglal Chaudhary College, Chapra, A Constituent unit of J.P. University, Chapra, India Author
  • Avinash Chandra Research Scholar, Department of Mathematics, J.P. University, Chapra, India Author

DOI:

https://doi.org/10.32628/IJSRST2411475

Keywords:

Vedic Mathematics, Derivatives, Integration, Simplification, Calculus, Sutras

Abstract

Vedic Mathematics, rooted in ancient Indian texts, offers a unique and efficient approach to solving complex mathematical problems. This paper explores the application of Vedic principles in modern calculus, specifically focusing on derivatives and integration. By applying Vedic methods, such as the Urdhva Tiryak Sutra (vertical and crosswise multiplication) and Paravartya Sutra (transposition), we demonstrate how these can simplify and expedite processes in differentiation and integration. The study provides practical examples where these techniques are applied to common calculus problems, highlighting their potential to enhance problem-solving efficiency in higher mathematics.

Downloads

Download data is not yet available.

References

Bharati Krishna Tirthaji. (1992). Vedic Mathematics. Motilal Banarsi dass, New Delhi

Kandasamy, W. B. V., & Smarandache, F. (2009). Vedic Mathematics, 'Vedic' or 'Mathematics': A Fuzzy and Neutrosophic Analysis. Infinite Study.

Apostol, Tom M. (1974). Mathematical Analysis. Addison-Wesley.

Stewart, James. (2015). Calculus: Early Transcendentals. Cengage Learning.

Tiratha, B.K. (1965), Vedic Mathematics, Motilal Banarasi dass, New Delhi

Williams, R. (1965), Vedic Mathematics, Motilal Banarasi dass, New Delhi

Williams. K. R. (2001). Discover Vedic Mathematics. U.K.: Inspiration Books (Chapter 16).

Williams. K. R. (2013). The Crowning Gem. U.K.: Inspiration Books (Appendix 2)

Singh Y, Mandia H. On Some multidimensional fractional integral operators associated with generalized hyper geometric function, International Journal of Engineering Research and Applications (IJERA), ISSN: 2248- 9622, 2012;2:3.843-849.

Faraj T, Salim Sadek S, Smail J. Generalized Mittag-Leffler Function Associated with Weyl Fractional Calculus Operators, Hindawi Publishing Corporation Journal of Mathematics, Article ID 821762, 2013, 5. DOI: https://doi.org/10.1155/2013/821762

Kumar D, Singh J. New Fractional-Calculus Results Involving General Class of Multivariable Polynomials and Multivariable H-function, International Journal of Modern Mathematical Sciences 2013;7(1):55-64. ISSN:2166-286X

Ahmad F, Jain DK, Jain R. International Mathematical Forum 2013;8(25):1199-1204. HIKARI Ltd, www.m-hikari.com DOI: https://doi.org/10.12988/imf.2013.3483

Choi J, Agarwal P. Certain unified integrals associated with Bessel functions, Springer, Boundary Value Problems 2013, 95. doi:10.1186/1687-2770-2013-95. DOI: https://doi.org/10.1186/1687-2770-2013-95

Kumar V, N-fractional calculus of general class of functions and Fox’s H-Function. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci 2013;83(3):271-277. DOI: https://doi.org/10.1007/s40010-013-0084-6

Kumar A, et al. Hardware implementation of 16 × 16bit multiplier and square using Vedic mathematics. In: Proceedings of the International Conference on Signal, Image and Video Processing (ICSIVP); c2012 Jan. p. 309-314.

Acharya ER. Mathematics hundred years before and now. Hist Res. 2015;3(3):41-47.

Agarwal J, Matta V, Arya D. Design and implementation of FFT processor using Vedic multiplier with high throughput. Int J Emerg Technol Adv Eng. 2013;3(10):207-211.

Aggrawal S. Observations from Figuring by Shakuntala Devi [Internet]. Nov 2013 [cited 2024 Aug 2]. Available from: http://vedicmaths.org

Anju, Agrawal VK. FPGA implementation of low power and high-speed multiplier using Vedic mathematics. IOSR J VLSI Signal Process. 2013;2(5):51-57.

Babaji DKR. Solving system of linear equations using Parāvartya rule in Vedic mathematics [Internet]. Aug 2022 [cited 2024 Aug 2].

Bajaj R. Vedic mathematics, the problem solver. Black Rose Publications; c2015.

Agarwal J, Matta V, Arya D. Design and implementation of FFT processor using Vedic multiplier with high throughput. Int J Emerg Technol Adv Eng. 2013;3(10):207-211.

Aggrawal S. Observations from Figuring by Shakuntala Devi [Internet]. Nov 2013 [cited 2024 Aug 2]. Available from: http://vedicmaths.org

Anju, Agrawal VK. FPGA implementation of low power and high-speed multiplier using Vedic mathematics. IOSR J VLSI Signal Process. 2013;2(5):51-57. DOI: https://doi.org/10.9790/4200-0255157

Babaji DKR. Solving system of linear equations using Parāvartya rule in Vedic mathematics [Internet]. Aug 2022 [cited 2024 Aug 2]. Available from: www.vedicmaths.org

Agrawal K, et al. A review paper on multiplier algorithm for VLSI technology. In: Proceedings of the National Conference on Advanced Research Trends in Information and Computing Technologies (NCARTICT); c2018. Int J Sci Res Sci Eng Technol. 2018;4(2).

Kumar A, et al. Hardware implementation of 16 × 16-bit multiplier and square using Vedic mathematics. In: Proceedings of the International Conference on Signal, Image and Video Processing (ICSIVP); c2012 Jan. p. 309-314. Available from: http://www.researchgate.net/publication

Acharya ER. Mathematics hundred years before and now. Hist Res. 2015;3(3):41-47. DOI: https://doi.org/10.11648/j.history.20150303.11

Downloads

Published

31-10-2024

Issue

Section

Research Articles

How to Cite

Vedic Sutras Mathematics with Application in Differentiation. (2024). International Journal of Scientific Research in Science and Technology, 11(5), 482-488. https://doi.org/10.32628/IJSRST2411475

Similar Articles

1-10 of 50

You may also start an advanced similarity search for this article.