Mathematical Sciences


A study on Vedic Mathematics: An Ancient Method

Article Number: QRO830987 Volume 01 | Issue 01 | January - 2019 ISSN: UA
19th Sep, 2018
14th Oct, 2018
26th Dec, 2018
19th Jan, 2019

Authors

Virendra Sharma

Abstract

Vedic Mathematics concerned with the Veda which deliver superfast solution of any problem related with mathematics. The present paper cover the concept of mathematics with the ancient method of Vedas and its relevant consideration. It consider all the sixteen sutras and their related sub sutras or Corollaries which tend in revealing the mathematics problem in easier and fast manner. The paper also detailed about the multiplication and division methods which is one of the most critical arithmetic operations approved with any digital logic algorithm i.e. digital signal processing. The discussion of the methodology with stepwise procedure of connected sutras with the both multiplication and division method give a lot informative and contain numerous application in the mathematical issues. Through this paper one can get the immense knowledge of Vedic mathematics and its reviewed data and the use of Vedic sutras dependent on algorithm conclusively provide the simple architecture and high-efficiency power. Keywords: Vedic Mathematics, Sutras, Vedas, Algorithm, Digital signal processing, Simple Architecture

Introduction

Vedic Mathematics is one of the ancient mathematics process that deals with the system of mathematics which help in the evaluation and solving of mathematical problems. The term is derived from the Veda which delivers the exact and fast solutions from any of the problem simultaneously with the cross checking mechanism. The Veda is basically derived from the Sanskrit word which define as the meaning to know anything without any limit and consider all the Veda-sakhas i.e. known to humanity. The Veda is depository of combination of all knowledge and informative details. Hence Sri Bharati Krishna Tirthaji again introduced the Vedic Mathematics concepts to the education world. For the extensive study the Atharva Veda by giving the sixteen simple mathematical formulae which is known as Up-sutras or corollaries. It is firmly defined the system of sutras that is define as the simple and powerful and powerful branch of the mathematics (Singh and Gupta, 2017).

Vedic Mathematics is known for the mathematical operations which help in development of brain and also helpful in relating with our past. A serious dedication towards the Vedas math utilize the spiritual bend example, a devotional hymn in tribute of Lord Krishna when deciphered provides the value of pi (π) till 32 decimal place in the trigonometry problems. These are useful in making the mathematics is flexible and easy as it is having the qualitative approach so as to make use of the required parts of brain. This Vedic mathematics dealing with the student preparation with that of the competitive approach for sake of examination. This need a lot more practice and dedication as this type of studies are not provided by any school and colleges so it is going to be consider with reference of logics, systematical and fast approach (Singhal, 2007).

Vedic Mathematics is dependent upon the 16 sutras that deal with numerous branches of mathematics like algebra, arithmetic, geometry etc. These 16 sutras is defined as follows:

1. Shunyamanyat – If one in ratio, then other is zero

2. Chalana-Kalanabyham – Depends on Difference and Similarities

3. Ekadhikina Purvena – By one more than the previous one

4. Ekanyunema Purvena – By one less than the previous one

5. Gunakasmuchyah- Factor of sum is equal to sum of factors

6. Gunitasamuchyah – Product of sum is equal to sum of product

7. Nikhilam Navastashcaramam – All from 9 and last from 10

8. Paraavartya Yojayet – Transfer and Adjust

9. Puranapuranabyham – Completiona and Non-completion

10. Sankalana-Vyavakalanabhyam – By Addition and Subtraction

11. Shesanyankena Charamena – Remainder by the last digit

12. Shunyam Saamyasamuccaye – When the sum is same that sum is consider zero

13. Sopaantyadvayamantyam – Ultimate and twice the penultimate

14. Urdhva-tiryagbham – Vertically and crosswise

15. Vyashtisamanstih – Part and Whole

16. Yaavadunam – whatever the extent of its deficiency.

References

Bhardwaj, Suyash, et al. “A Novel Approach for Optimization in Mathematical Calculations Using Vedic Mathematics Techniques.” Mathematical Journal of Interdisciplinary Sciences, vol. 1, no. 1, July 2012, pp. 22–34., dspace.chitkara.edu.in/jspui/bitstream/1/98/1/11002_MJIS_Baradwaj.pdf.

Ismail, Syed Azman Bin Syed, and Pumadevi A/p Sivasubramniam. “Multiplication with the Vedic Method.” Procedia - Social and Behavioral Sciences, vol. 8, 2010, pp. 129–133.

Kandasamy, W. B. Vasantha., and Florentin Smarandache. Vedic Mathematics: Vedic or Mathematics: a Fuzzy & Neutrosophic Analysis. Automaton, 2006.

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, Mar. 2012, pp. 1–5., doi:10.1016/j.sbspro.2010.12.018.

Palata, Kedar N, et al. “Implementation of an Efficient Multiplier Based on Vedic Mathematics.” International Research Journal of Engineering and Technology, vol. 4, no. 4, Apr. 2017, pp. 494–497., irjet.net/archives/V4/i4/IRJET-V4I498.pdf.

Singh, Anuradha, and Neetu Gupta. “Vedic Mathematics for VLSI Design: A Review.” International Journal of Engineering Sciences & Research Technology, vol. 6, no. 3, 2017, ijesrt.com/issues pdf file/Archive-2017/March-2017/28.pdf.

Singhal, Vandana. Vedic Mathematics for All Ages: A Beginners' Guide. Motilal Banarsidass Publisher, 2007.

Roy, Himanish. “Knowledge Management and the Role of Academic Libraries.” International Journal of Research in Library Science, vol. 1, no. 1, June 2015, www.ijrls.in/wp-content/uploads/2015/07/Knowledge-Management-and-the-Role-of-Academic-Libraries-1.pdf.

Uzohue, Chioma Euriel, and Japheth Abdulazeez Yaya. “Knowledge Management Competencies Required for Library and Information Professionals in 21ST Century Nigerian Libraries.” American Journal of Business and Society, vol. 1, ser. 3, 2016, pp. 90–97. 3, file:///C:/Users/user/Downloads/70590012.pdf.

How to cite this article?

APA StyleSharma, V (2019). A study on Vedic Mathematics: An Ancient Method. Academic Journal of Mathematical Sciences, 1(1), 25-30
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