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thesis on vedic mathematics

Issue129 Research in Vedic Mathematics

​ Vedic Mathematics Newsletter No. 129

A warm welcome to our new subscribers.

Answers to the puzzles from the previous newsletter are: 2021 = 43 × 47; 2491 (=47×53); 119, 120

This issue’s article is by Kenneth Williams, newsletter editor, and is titled “Research in Vedic Mathematics”.

“ Research can be very worthwhile: it focuses the mind, expands creativity and, hopefully, leads to something useful.“

****************************

IAVM EVENTS IN 2021

The Institute for the Advancement of Vedic Mathematics (IAVM) website is at instavm.org but please note it is being rebuilt and will be up and running sometime in March.

Four events are announced below.

Knowledge Series Webinars

Commencing 13 th March

A series of six free webinars throughout the year on mathematical understanding from ancient India and mathematical practices in diverse cultures.

13 th March

Exploring ancient Indian mathematics: From zero to infinity Prajakti Gokhale  

In this session, we will explore the journey of ancient Indian mathematics from Indian subcontinent to Europe. We will understand the timeline of ancient Indian texts and important contributions by Indian mathematicians. Prajakti will also demonstrate some key techniques and practical applications. The talk will conclude with views from mathematicians around the world on the merits of ancient Indian mathematics. Register here to attend.

Further talks will be announced on our website.

Masterclasses for IVMO

10 th , 11 th , 17 th , 18 th April

Continuing from last Autumn, four masterclasses will be given by James Glover dealing with further VM techniques in preparation for IVMO 2021. Topics covered: Squaring, Cubing, Coordinate Geometry, Combined Ratios, Scale Factors, Algebraic Division, Binomial Expansions.

  7 th Annual Online Conference

11 th – 12 th June

The conference will be held across two days. The first day will be given over to presentations of papers and presentations of how best to deliver mathematics online.

The second day will comprise free workshop sessions for students of different grades as well as teachers. Student workshops will include activities and puzzles together with a poetry competition. Further details will be sent in due course.

International Vedic Maths Olympiad (IVMO 2021)

11 th September

Postponed from 2020, IVMO 2021 will now take place in both online and paper format. Both formats have multiple choice formats. Further details will be sent to Regional Coordinators in due course. Please email us if you want to be a Regional Coordinator.

PYTHAGOREAN TRIPLES IN PYTHON  

Recent research by Brian G. Mc Enery has led to the development of new software designed to investigate the potential for using Pythagorean Triples, in a modern computational environment.  The software development is based on Kenneth Williams’ book Triples and has led to the development of Python classes for Triple and CodeNumber objects. The software is also being developed using Jupyter notebooks, as a way of developing a dynamic interactive presentation. At present the software is located in a git repository, and the notebook may be viewed at, https://mybinder.org/v2/gh/BrianGMcEnery/pythagorean-triples.git/HEAD .

TWO N EW JOURNAL ARTICLE S

  • " Continued Fractions using the Sesa Sutra "

by Kenneth Williams, 2021

One of the Sūtras of Vedic mathematics is shown to have useful applications in various ways in relation to continued fractions. We see how to easily convert a given fraction to a continued fraction and vice versa, how to get the convergents and the accuracy involved in switching to any given convergent. Some applications of continued fractions are also briefly described.

  • " Highest Common Factor and Lowest Common Multiple using the Sesa Sutra "

This paper shows how to obtain highest common factors and lowest common multiples of two or more numbers, using the Vedic Mathematics Sutra The Remainders By the Last Digit . Includes applications to polynomial expressions.

https://www.vedicmaths.org/resources/journal-of-vedic-mathematics

VE DIC MATHEMATICS ACADEMY COURSES

The Advanced Diploma course starts on 29 th March 2021.

The next Teacher Training Course is scheduled for 24 th May 2021.

For details of these and the several other courses offered by the VM Academy please see:

https://courses.vedicmaths.org/

NEW COURSE – TRIPLE GEOMETRY

This course takes up the subject of triples, like 3,4,5, which represent the sides of right-angled triangles (e.g. 3 2 + 4 2 = 5 2 ). Most of the techniques developed though are not restricted to integer-sided triangles. We see how to find two sides of a right-angled triangle given only one side, and the many applications of this, including in equations, in 2 and 3-dimensional geometry and astronomy. The course is independent of any other of our courses and the content is not repeated in any of them. No calculator required. See further details here.

THE ORIGINAL VEDIC MATHEMATICS BOOK

Copyright has now expired on the book “Vedic Mathematics” by Sri Bharati Krishna Tirthaji. This is the original work, first published in 1965, that has inspired much subsequent research (and also controversy). This book is now available in pdf format, with errors corrected and indexes etc., for anyone who wishes to request it.

*****************************************

ARTICLE FOR NEWSLETTER 129

RESEARCH IN VEDIC MATHEMATICS

Vedic Maths research is going on all around the world. This is clear from the articles appearing in journals, conference papers, magazines etc. from many individuals.

From time to time we get questions about research: what to study, how to study, how to publish, and so on. So here is some brief guidance for those interested in pursuing research in this fascinating subject which has such high potential for research opportunities.

What to Study

Research can be very worthwhile: it focuses the mind, expands creativity and, hopefully, leads to something useful.

Obviously, a subject of research must be chosen and I generally advise that it should be either a topic that you are very familiar with (i.e. know in some depth) or one which you have a special interest in. Preferably both of these.

There are many topics in Tirthaji’s book that could be followed up. Looking at the amazing Vedic methods and practising them often leads to thoughts about how they can be extended or applied in a different setting. Tirthaji himself gives many hints. For example, in Chapter 17 he writes: “This portion of the Vedic Sūtras deals also with the Binomial theorem, factorisations, factorials, repeated factors, continued fractions, Differentiations, Integrations, Successive Differentiations, Integrations by means of continued fractions etc.”.

There are several other such comments in the book, in particular the two lists in Chapter 40 are of special significance.

How to Study

To carry out the research you need to know your chosen subject thoroughly and you need to know Vedic Maths thoroughly. It is really essential that you know VM very well and have a feel for what a VM approach to a problem would be like, i.e. holistic, simple and directly related to the Sutras. Look for unifying principles in your research.

Understand that there are likely to be setbacks, disappointments etc. You may find that after considerable effort and time you have discovered something that was obvious or that has been found by someone else previously. So above all be determined to continue in spite of these events.

Put the study aside for a while if it is going nowhere, and return later. And you should not rush, this really does reduce the creative faculties.

On the other hand you may have too many ideas. Writing the ideas down will help to consolidate and clarify what is important and weed out less useful points. In time these will organise themselves.

To keep the mind still and clear some form of meditation is highly beneficial. Get to know how your mind works and use this to help direct your study.

If you get a nice result, you may be tempted to stop studying and write it up – this often happens. But maybe if you look further your result may be a clue to something deeper. See if it is part of a bigger picture.

Write-up and Publication

Look at VM articles that have been published to get an idea of expected format, length etc. and follow any guidelines that your intended publisher expects. For example: https://www.vedicmaths.org/resources/journal-of-vedic-mathematics

Make sure there are no errors; it gives a poor impression when an article has mistakes.

Check your work is original by searching online and asking those working in the same field as you for advice.

Give references to any work cited in your paper, it will be assumed that you are claiming authorship of any material you do not ascribe to someone else. Similarly for proofs: include proofs of results or theorems you have used or give references.

For publication of Vedic Maths articles there is the online International Journal of Vedic Mathematics (see link above) and Vedic maths conferences. There are currently two annual conferences: online and in-person. These are organised by the Institute for the Advancement of Vedic Mathematics who can be contacted for more information.

End of article.

*********************************************

Your comments about this Newsletter are invited.

Previous issues of this Newsletter can be viewed and copied from the Web Site: https://www.vedicmaths.org/community/newsletter

To unsubscribe from this newsletter simply reply to it putting the word unsubscribe in the subject box.

Editor: Kenneth Williams

The Vedic Mathematics web site is at: https://www.vedicmaths.org

3 rd March 2021

English

Newsletter Indexes

  • Issue129 - Research in Vedic Mathematics
  • Issue130 - Structures in the Vedic Mathematics Sutras
  • Issue131 - Validity of the Vedic Formulae

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Study of mathematics through indian veda's : A review

Tarunika Sharma 1 , Rashi Khubnani 1 and Chitiralla Subramanyam 1

Published under licence by IOP Publishing Ltd Journal of Physics: Conference Series , Volume 2332 , Futuristic Research in Modeling of Dynamical Systems (FRMDS 2022) 03/05/2022 - 05/05/2022 Online Citation Tarunika Sharma et al 2022 J. Phys.: Conf. Ser. 2332 012006 DOI 10.1088/1742-6596/2332/1/012006

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1 Department of Mathematics, New Horizon College of Engineering Bangalore, India

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Vedic Mathematics a method of conceptual calculation also reasoning. It has 16 sutras (formulas) and 13 sub-sutras(corollary). Vedic Mathematics formulas, which are mathematical concepts founded proceeding antediluvian Indian scripts called Veda meaning, knowledge reiterated by SWAMI SRI BHARATI KRISNA TIRTHAJI MAHARAJA. Due to its versatile nature and speed, it applies to many fields. This paper is an array of growth and development in the field of Vedic mathematics with a special focus on the structure of Vedic multipliers and Vedic algorithms like Urdhva Tiriyagbhyam and Nikhilam algorithms. Further an over view of Vedic Mathematics with NEP2020 is deliberated.

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Contribution of Vedic Mathematics in Advanced Calculus - Sneha Vaidya

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Elementary Algebra on Vedic Mathematics

The South Asian region has a long history of discovering new ideas, ideologies, and technologies. Since the Vedic period, the land has been known as a fertile place for innovative discoveries. The Vedic technique used by Bharati Krishna Tirthaji is unique among South Asian studies. The focus of this study was mostly on algebraic topics, which are typically taught in our school level. The study also looked at how Vedic Mathematics solves issues of elementary algebra using Vedic techniques such as Paravartya Yojayet, Sunyam Samyasamuccaye, Anurupye Sunyamanyat, Antyayoreva and Lopanasthapanabhyam. The comparison and discussion of the Vedic with the conventional techniques indicate that the Vedic Mathematics and its five unique formulas are more beneficial and realistic to those learners who are experiencing problems with elementary level algebra utilizing conventional methods.

Report on Cryptographic Hardware Design using Vedic Mathematics

High-speed mac using integrated vedic-mathematics, fpga based vedic mathematics applications: an eagle eye, vlsi design based delay and power performance comparison and analysis of multipliers.

Recently, the problem of power dissipation has become more important in VLSI design. The multiplier is a major drain on resources. The multiplier is a basic operation in arithmetic. This article examines a variety of multipliers at the algorithmic, circuit, and layout levels. The multiplier schematic was designed using TANNER TOOL. It has been possible to increase the speed and area of multipliers by utilising Vedic mathematics for multiplication. Vedic mathematics' "Ni khilam sutra" formula can multiply large numbers. One of the primary objectives is to increase speed while simultaneously decreasing power, area, and delay.

Design of High Performance ALU Using Vedic Mathematics

A review on ieee-754 standard floating point multiplier using vedic mathematics.

The fundamental and the core of all the Digital Signal Processors (DSPs) are its multipliers and the speed of the DSPs is mainly determined by the speed of its multiplier. IEEE floating point format is a standard format used in all processing elements since Binary floating point numbers multiplication is one of the basic functions used in digital signal processing (DSP) application. In this work VHDL implementation of Floating Point Multiplier using Vedic mathematics is carried out. The Urdhva Tiryakbhyam sutra (method) was selected for implementation since it is applicable to all cases of multiplication. Multiplication of two no’s using Urdhva Tiryakbhyam sutra is performed by vertically and crosswise. The feature is any multi-bit multiplication can be reduced down to single bit multiplication and addition using this method. On account of these formulas, the carry propagation from LSB to MSB is reduces due to one step generation of partial product.

Vedic Mathematics

An effective automatic breast cancer identification using vedic mathematics, vedic mathematics ‐ teaching an old dog new tricks, export citation format, share document.

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COMMENTS

  1. PDF A Study on The Effectiveness of The Vedic Method on ...

    Vedic Mathematics, students' accuracy on calculation is high and considerably less time is taken by students than earlier (Indukuri, A., 2012). It is also found that Vedic mathematics is very effective than the traditional talk and chalk method, in relation to students' achievement in mathematics (Jiji, 2012). Extensive practice of Vedic math ...

  2. Full article: Vedic Mathematics: A Mathematical Tale from the Ancient

    Vedic mathematics is primarily a collection of methods, called the sutras, that aim at making one faster at numerical computations.These formulas are claimed to have been retrieved from the Vedas (Khare Citation 2006); however, there is considerable disagreement on this issue (Dani Citation 2001; Plofker Citation 2008).. The Vedas are religious texts, originating in ancient India, composed in ...

  3. VedicMaths.Org

    Vedic Mathematics Newsletter No. 129. A warm welcome to our new subscribers. Answers to the puzzles from the previous newsletter are: 2021 = 43 × 47; 2491 (=47×53); 119, 120. This issue's article is by Kenneth Williams, newsletter editor, and is titled "Research in Vedic Mathematics". " Research can be very worthwhile: it focuses the ...

  4. PDF Design of an Optimized Low Power Vedic Multiplier Unit for Digital

    Vedic Mathematics is a set of mathematical rules, derived from ancient Indian scripts that makes arithmetic calculations extremely fast and simple. There are 16 rules or Sutras expounded in Vedic Mathematics. This report presents novel designs of a multiplier based on the Vedic Sutras on multiplication - Urdhva Tiryakbhyam and Nikhilam.

  5. PDF A Study of Effectiveness of teaching Vedic Mathematics on Students

    A Study of Effectiveness of teaching Vedic Mathematics on Students' Achievement A SYNOPSIS SUBMITTED TO THE SHRI JAGDISHPRASAD JHABARMAL TIBREWALA UNIVERSITY, RAJASTHAN FOR THE DEGREE OF DOCTOR OF PHILOSOPHY In Education By Mrs. Sahaya Jiji Reg No:16111544 UNDER THE GUIDANCE OF Dr. Nagaraj Rao DEPARTMENT OF EDUCATION

  6. 601 PDFs

    This study explores the impact of integrating Vedic Mathematics Techniques (VMT) in teaching polynomial factoring among grade 8 students at Amas National High School, Kidapawan City, Province of ...

  7. PDF Vedic Mathematics in Modern Era

    Vedic mathematics is an ancient scheme based on 16 formulas (sutras). These are easy & simple methods for fast mental calculations. Many researcher have worked on it for its usefulness in various branches like engineering, astronomy, mathematics. Vedic mathematics helps in faster and accurate mental calculations. By this 16 sutras & 13 up sutras.

  8. PDF The Implementation of Vedic Mathematics toAlgebra and Geometry

    The Implementation of Vedic Mathematics toAlgebra and Geometry 1M.N.Dhanave,2M.A.Kangale 1,2Lecturer,Brahmdevdada Mane Institute of Technology, Solapur,Maharashtra. Abstract: Vedic mathematics is the name given to the ancient Indian system of mathematics that was rediscovered in early twentieth century.

  9. PDF Effect of Vedic Mathematics on Students Achievement

    Origin of Vedic mathematics: Vedic mathematics is the name given to the ancient system of Indian mathematics mention in the ancient Indian literature. It was Vedic rediscovered by Sri Bharati Krishna Tirthaji Maharaja from the sacred Veda during 1911 to 1918. This system has a unique technique of calculations based on sixteen

  10. Study of mathematics through indian veda's : A review

    This paper is an array of growth and development in the field of Vedic mathematics with a special focus on the structure of Vedic multipliers and Vedic algorithms like Urdhva Tiriyagbhyam and Nikhilam algorithms. Further an over view of Vedic Mathematics with NEP2020 is deliberated. Export citation and abstract BibTeX RIS.

  11. PDF VedicMathematics

    Abstract - This thesis is all about Vedic Mathematics which is the Indian traditional method of calculation. It is composed of 16 Sutras (aphorisms or formulae) and 13 Sub-Sutras (corollaries) that are found in the Atharva Veda which is one of the four Vedas in India. The Sutras (formulae) apply to almost every branch of Mathematics.

  12. The Impact of Vedic Mathematics Techniques (Vmt) on Students

    This study explores the impact of integrating Vedic Mathematics Techniques (VMT) in teaching polynomial factoring among grade 8 students at Amas National High School, Kidapawan City, Province of ...

  13. PDF Effectiveness of Vedic Mathematics Based Instruction on The ...

    on Vedic mathematics stood as evidence for the effectiveness of Vedic mathematics and it was found that Vedic mathematics was more effective than traditional approach. METHODOLOGY: Experimental method is a scientific approach to a problem. The present study is an experimental study, which is an appropriate method to accomplish the objectives of ...

  14. PDF Vedic Maths as a Pedagogic Tool

    James T. Glover and Kenneth R. Williams. Abstract. The characteristics of Vedic mathematics lead to a teaching and learning approach that has many advantages over conventional pedagogies. These include speed, creativity, flexibility and the development of strategy skills in problem solving. Due to exam syllabus requirements students often ...

  15. VedicMaths.Org

    53. "Highest Common Factor and Lowest Common Multiple using the Sesa Sutra" by Kenneth Williams, 2021This paper shows how the Sutras of Vedic mathematics can be used to obtain highest common factors and lowest common multiples of two or more numbers, using the Vedic Mathematics Sutra The Remainders By the Last Digit.

  16. Contribution of Vedic Mathematics in Advanced Calculus

    This is the PDF of Contribution of Vedic Mathematics in Advanced Calculus in english language and script by Sneha Vaidya. The work is a Ph.D. Thesis or Ph.D. Dissertation in Mathematics and philosophy specifically on the topic of Vedic mathematics and modern day advanced calculus such as Real analyis and functional analysis.

  17. [PDF] Impact of Vedic Mathematics in Education for Development of

    Vedic Mathematics is the name given to the ancient system of Indian Mathematics which was rediscovered from the Vedas between 1911 and 1918 by Sri Bharati Krishna Tirthaji. The most striking feature of this system is its coherence where a set of unrelated techniques is interrelated and unified into one. Interest in the Vedic system is growing ...

  18. An Empirical Study on Role of Vedic Mathematics in ...

    Vedic Mathematics is an Indian ancient system of mathematical calculations or operations techniques developed in the year of 1957 with 16-word formulae and some sub-formulae. In competitive ...

  19. (PDF) Myths and reality : On 'Vedic mathematics

    Myths and reality : On 'Vedic mathematics' S.G. Dani School of Mathematics Tata Institute of Fundamental Research (An updated version of the 2-part article in Frontline, 22 October and 5 November 1993) We in India have good reasons to be proud of a rich heritage in science, philosophy and culture in general, coming to us down the ages.

  20. PDF Impact of Vedic Mathematics in Education for Development of Sustainable

    Vedic Mathematics is the name given to the ancient system of Indian Mathematics which was rediscovered from the Vedas between 1911 and 1918 by Sri Bharati Krishna Tirthaji. It is a field which teaches observation of patterns, making calculations faster etc. The underlying base for this is the set of sixteen 'Sutras.'.

  21. Effects of Vedic Mathematics Technique (Vmt) on Students' Problem

    Vedic Mathematics Technique (VMT) is used to solve mathematical problems in a fast and easy way. It deals with shortcut techniques that carry out numerical calculations in a faster way. This study ...

  22. PDF Vedic Mathematics

    Vedic Mathematics is a branch of mathematics that finds its origin in ancient Indian texts called the Vedas. The principles of Vedic Mathematics have been rediscovered and popularized by Sri Bharati Krishna Tirtha Maharaja, who was the former Shankaracharya of Puri. The system of Vedic Mathematics is based on sixteen sutras and sub-sutras and is

  23. vedic mathematics Latest Research Papers

    Elementary Algebra on Vedic Mathematics. The South Asian region has a long history of discovering new ideas, ideologies, and technologies. Since the Vedic period, the land has been known as a fertile place for innovative discoveries. The Vedic technique used by Bharati Krishna Tirthaji is unique among South Asian studies.