# VEDIC MATHEMATICS NEWSLETTER

ISSUE No. 17

Vedic Mathematics is becoming increasingly popular as more and more people

are introduced to the beautifully unified and easy Vedic methods.

The purpose of this Newsletter is to provide information about developments

in education and research and books, articles, courses, talks etc., and also

to bring together those working with Vedic Mathematics.

If you are working with Vedic Mathematics- teaching it or doing research-

please contact us and let us include you and some description of your work in

the Newsletter. Perhaps you would like to submit an article for inclusion in

a later issue.

If you are learning Vedic Maths, let us know how you are getting on and what

you think of this system.

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This issue's article:

## VEDIC SOURCES OF 'VEDIC MATHEMATICS'

The above is the title of an article by Dr N. M. Kansara, Director of the

Akshardham Centre for Applied Research in Social Harmony in Akshardham,

Gandhingar, India.

In this article Dr Kansara examines the arguments that have been circulating

in India about the authenticity and validity of Bharati Krsna Tirthaji's

reconstruction of Vedic Mathematics. In particular he discusses the lost

volumes and the validity of the term 'Vedic' for Bharati Krsna's system. It

is good to see the negative arguments that have been put forward in the past

refuted in such a scholarly way.

Bharati Krsna says he wrote sixteen volumes on Vedic Mathematics and

according to Dr Kansara ...at the age of his 34th or 35th year and for the

next few years he was busy working on these Sutras, and he seems to have

definitely written, in school notebooks, all of his sixteen volumes treating

each of his sixteen Sutras in one independent volume ...

These notebooks were left with a devotee for a long period, Says Dr Kansara,

so that the house in which they were stored passed on to the devotee's son

who sold them to a German scholar for 80,000 rupees. Professor Vijaya Sane

tried over a long period to locate the German scholar but without success.

Regarding the validity of the term 'Vedic' as applied to Bharati Krsna's

system Dr Kansara says: "The VM Sutras contain some very common mathematical

terminology, which has so far been hardly examined from this point of view.

Dr Satyakama Varma has concluded in his research paper that though the term

employed in these Sutras cannot be claimed to be of the Vedic origin, yet

they are later synonyms of the equivalent original Vedic terms, that the

Vedic texts include much of the scientific and mathematical statements, which

can make a strong basis for such like Sutras, and that when the Jagad Guru

claims that he has adopted nothing but Vedic Mathematics, he is right in his

own way." "Thus, in point of the language the VM Sutras too are similar and

cannot be segregated as non-Vedic; they are as much Vedic as are the Srauta

Sutras and the Sulba Sutras so far as the point of their language is

concerned. And this is perhaps, because of their likelihood of being of the

yet untraced Sulba-sutra of the Atharvaveda. And it is in view of these

sutras being a part of the yet untraced Sulbasutra, and therefore belonging

to the Sthapatyaveda an upaveda, of the Atharvaveda, that we may regard them

as 'Vedic', which is general term denoting not merely the texts connected

with some Vedic Sakha, but not necessarily the Samhita and Brahmana only".

The word 'Veda' refers to actual Vedic texts, but its literal meaning is

'knowledge' and this latter is the meaning stressed by Bharati Krsna himself.

Dr Kansara says: "But says Dr V. S. Agrawala, this criticism loses all its

force if we inform ourselves of the definition of Veda given by BKTM himself

as quoted abobe. It is the whole essence of his assessment of Vedic tradition

that it is not to be approached from a factual standpoint, viz., that the

Vedas as traditionally accepted in India are the repository of all knowledge,

and hence they should be, and not what they are, in human possession. That

approach entirely turns the tables on all the critics, for the authorship of

Vedic Mathematics then need not be laboriously searched in the texts as

preserved from antiquity."

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## NEWS

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**COURSE IN AUSTRALIA**

A Vedic Mathematics course is starting on Tuesday 26th June at 7 pm sharp in

New South Wales, Australia. It is a 6 week course on alternate Tuesdays and

is given by Vera Stevens. The venue is the Shearwater Steiner School at

Mullumbimby and the cost is $8.00 per person. For inquiries ring Vera on

Australia 02-66801980.

**NEW WORKSHOP IN INDIA**

The Workshop on Vedic Mathematics at the

Society For Integrated Development Of Himalayas,

Hazelwood, Landaur Cantt., Mussoorie, 248179

tel./Fax : 91-135-631304 / 632904

will be held on Jun 28 to 30..2001 for teachers.

The contact person is : Dr. L. N. Mittal (Consultant, SIDH)

email Id : ,

**COMPARISON OF VEDIC AND TRADITIONAL METHODS**

A study has just been completed comparing some Vedic and traditional

multiplication methods. Michelle Thompson at Edge Hill College, Lancashire,

England is training to become a teacher of mathematics at secondary level.

She taught two similar year 8 classes at Bedford High School, Leigh: one was

taught Vedic methods and the other the equivalent traditional methods. The

classes did a test followed by a week of teaching and then another test. A

third test was given a month later to find out what had been retained.

Michelle writes in her report:

"I would say that the evidence of pupils in class V [the class taught Vedic

methods} maintaining the same or similar performance overall and in the

mental test (tables 3-4) one month later would support the theory that Vedic

methods can help to increase the performance of pupil's multiplication

abilities. However the mental tests made it difficult for me to fully assess

how many pupils were using the Vedic methods mentally. Some pupils in class V

did return to other written methods in the third test but with greater

success. This may imply that the teaching of Vedic methods helped the pupils

to understand other methods such as traditional multiplication and partial

products."

The teaching of the vertically and crosswise multiplication method was well

received by class V:

"In class, Group V was taught the general multiplication method of

"vertically and crosswise". They were encouraged to use "nikhilam"

multiplication to recall any products they did not know. This was well

received by the group with many completing thirty 2 by 2 arrays in less than

30 minutes with a maximum of two errors. The primary striking feature was

that it was difficult to get the pupils to stop once they had started. It

took more than 5 minutes to get everyone to stop together so we could mark

and check progress on account of several of the pupils wanting to do "just

one more, Miss". The class teacher commented that she had never seen a class

so eager to continue with multiplication."

**MUSIC AND THE VEDIC MATRIX**

Following the article on the Vedic Matrix by Dr Blidi Stemn in the last

newsletter we have heard from Luigi Di-Martino who was amazed when a friend

showed him the article as he had arrived at something similar through

studying the musical scales! We hope to show something of his work in a later

newsletter.

**WEB COMMUNITY ON VEDIC MATHEMATICS**

Dr T. Venugopal has organized an MSN Web Community called Vedic Mathematics.

Here is the Web address of the community's home page:

http://communities.msn.com/VedicMathematics

Why not join the community, read the discussions and add your own.

**TALKS AND BOOKS IN BIRMINGHAM**

There was a Vedic Mathematics stand at the Natural Health and Ecology Show on

2nd, 3rd June at Ryton Organic Gardens near Birmingham, England. Two talks

were given to fascinated groups who were, as usual, amazed at the beautiful,

simple Vedic methods. Many useful contacts were made.

**TRACHTENBERG SYSTEM**

Is anyone aware of any comparison done between the Trachtenberg and Vedic

systems?

**THANKS FROM JAIN IN AUSTRALIA**

We included a note about Jain in Australia who has had some useful responses.

He writes:

"So thanks for the liason, your incredible work pays off considerably in

helping young artists and intellectuals like myself who need exposure...

want to thank you again for being a catalyst in getting my Life'sWork out. I am

teaching Vedic Mathematics every New Moon and Full Moon, lately, and am

starting to attract the attention of some of the local Maths Teacher's.

**MULTIPLICATION**

From a trainee maths teacher:

"What surprises me is how little interest and ability maths teachers show in

mental arithmetic for themselves. I am interested, but I haven't made a

serious study, yet I am aware that other maths teachers at school and other

PGCE students at college are impressed by quite basic steps in mental calculation.

For example, there was a talk at school given just to maths teachers by the

Borough of Ealing's Numeracy Coordinator. The speaker asked how we would

calculate 13 x 15. I was already being discouraged from putting my hand up

because I always had an answer. She went round everyone else and then

suggested using 6 1/2 x 30 (ie doubling and halving). Finally she came to me,

and I said: "I happen to know that 14 squared is 196, so by the difference of

squares it must be 195." I knew by the two seconds delay and then the whoops

and cheers that my fellow teachers thought that impressive. I don't mean to

boast, nor belittle my colleagues, but I just know there is a long way to go

with the kids when the staff are impressed by that."

**BOOK COMMENT**

Just a quick note to say that your book, Discover Vedic Mathematics,

is absolutely wonderful! Your examples and explanations are comprehensive in

their scope; upon reading the text, working out the sample problems, and

completing the corresponding exercises, I feel that I am well on my VM

journey!

I am using your text in conjunction with Jagadguru Swami Sri Bharati

Krsna Tirthaji Maharaja's Vedic Mathematics. Working sutra by sutra, I am

enlightened by the fascinating knowledge that resides within both texts'

pages.

I am currently informing my college math instructor about the

intrinsic value of VM. Also, I am sharing my VM interests with everyone I

know who loves and appreciates mathematics. I have received very positive

feedback! :)

**WORKSHOP IN INDIA**

Mr Mohammad Fazal, the governor of Panaji, inaugurated a two-day workshop on

Vedic Mathematics at the International Centre, Donna Paula, Panaji on March

21. The workshop has been jointly organised by the Goa International Centre

and Motilal Banarsidass Publishers, New Delhi.

**ARE YOU A VEDIC MATHS TEACHER IN NEW DELHI?**

If you are please let us know as someone is looking for a teacher.

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**CORRESPONDENCE**

**EMAIL**: Have you ever heard of Jain method of mathematics? Jainism is a

religion

practiced by approx 2-3% Indians. Or probably less. Many Monks/Sadhus/Saints

of this religion practices maths for reasons best known to them ( I have not

asked them, that is :-) ) Mathematics and Logic forms a vital part of Jain

Philosophy and probably they practice it for increased concentration and

control over mind. They can perform calculations at phenomenal speed and can

remember/recite very large numbers spoken in any order etc. When I meet a

Jain monk next time, I will ask them about it and will try to compare their

methods with VM.**EMAIL**: I loved the vedic square/matrix article [newsletter 16]- amazing,

someone using it in a teaching place - brilliant. I found it very interesting

to read - I hope others do to.

**EMAIL**: Did you know that the multiply method with the abacus is the same as

the cross multiply in vedic?

**EMAIL**: I am currently in my junior year at United World College of South East

Asia in Singapore. I am interested in writing a research paper - which is

necessary for me to obtain my International Baccalaureate diploma (extended

essay) in the field of Vedic Mathematics.

**EMAIL**: I am doing my Masters in CS and have been closely studying Vedic Math

for

the past 8 to 10 years (with breaks in between to get back to studies). I

came to US and saw that people (even Indians) hadnt even heard of it and

since then I have just been explaining to them some basic sutras, the reason

behind why they might have come up with such a thing and stuff. I am more

than interested in doing research in Vedic Maths. I am trying to write

programs which use similar logic to make things easier and faster. I havent

studied in much detail as to how much faster they would be. But its fun.

Keep me posted on whats new in Vedic math.

**EMAIL**: I have just completed a Bachelor's Degree in Commerce from the Bombay

University. I am interested in undertaking 1/2 yrs of formal studies in Vedic

Maths. Could you tell me about any such courses, preferably in India?

**EMAIL**: Dear Sir, Could you please tell me in detail what exactly is vedic

maths &what is it's importance.

REPLY: Sri Bharati Krsna Tirthaji studied the Indian, Vedic texts between

1911 and 1918 and according to him reconstructed a system of mathematics that

was contained in them. He wrote a book called Vedic Mathematics in which he

outlined the system. This describes a very coherent and elegant system which

rather puts conventional mathematics teaching to shame. Since this book was

published in 1965 some people have developed and extended to work. Others who

have not looked closely have rejected it. The importance of VM is that it

contains all the features that you would want to have in a system of

mathematics: it is easy to do, most methods being done mentally as they go

direct to the answer using a simple pattern or technique. The system is very

integrated so that methods complement each other. Furthermore children love

it because it is so easy and so much fun. One other unique feature is the

sutras or word-formulae which are used. These help the child to know how to

use their mind in answering a question.

**EMAIL**: In the recent Teaching Children Mathematics the article on Vedic Math

gave an example to multiply double digits that works fine but please explain

how 22 x 45 works. Thank you for you response.

REPLY: In the Vedic system there are special methods that can be used when a

sum falls within its range, and there are general methods.

The method referred to in that article is for multiplying numbers near a base

(like 10, 100, 2000 etc).

For 22 x 45 you could use the general method which comes under the vertically

and crosswise formula (answer in one line) or you could use the

proportionately formula which means change the sum to 22 x 45 = 11 x 90 =

990.

Or thirdly you could actually use the method described in the article by

finding 44 x 45, using a base of 40 (or 50) and halving the answer.

One of the many remarkable features of the Vedic system is that there is a

variety of methods to choose from, which leads to creativity and

experimentation, or you can just stick to the general method if you prefer.

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Your comments about this Newsletter are invited.

If you would like to send us details about your work or submit an article for inclusion please let us know on

Articles in previous issues of this Newsletter can be copied from the web site - www.vedicmaths.org:

Issue 1: An Introduction

Issue 2: "So What's so Special about Vedic Mathematics?"

Issue 3: Sri Bharati Krsna Tirthaji: More than a Mathematical Genius

Issue 4: The Vedic Numerical Code

Issue 5: "Mathematics of the Millennium"- Seminar in Singapore

Issue 6: The Sutras of Vedic Mathematics

Issue 7: The Vedic Square

Issue 8: The Nine Point Circle

Issue 9: The Vedic Triangle

Issue 10: Proof of Goldbach's Conjecture

Issue 11: Is Knowledge Essentially Simple?

Issue 12: Left to Right or Right to Left?

Issue 13: The Vinculum and other Devices

Issue 14: 1,2,3,4: Pythagoras and the Cosmology of Number

Issue 15: A Descriptive Preparatory Note on the Astounding Wonders of Ancient Indian Vedic

Issue 16: Vedic Matrix Issue

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Please pass a copy of this Newsletter on (unedited) to anyone you think may be interested.

Editor: Kenneth Williams

Visit the Vedic Mathematics web site at

http://www.vedicmaths.org

Email

21st June 2001