1st vm sendout introduction and syllabus
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Vedic Math Study Group
Moderator Richard [email protected]
I would like to welcome you to the Vedic Math Study Group (VMSG). The purposes ofthis group are as follows:
1. To learn Vedic Math in a logical and systematic fashion.
2. To have all members of the study group interact with one another.
3. Lastly and most importantly have fun!
I came across Vedic Math (VM) quite by accident while surfing on the internet
about eight years ago. Being a math person all of my life, I was interested in the claims
made regarding VM. These claims included being able to work problems of many typesbasically in my head and write the answers immediately, writing the answers without
showing any intermediate work and doing the work in a small fraction of the time itwould ordinarily require. I honestly felt initially that these claims were not true. As an
experiment, I would fold a piece of paper in half and write the same problem twice on the
top of the page. I timed myself using both the VM methods and the methods that I had
been taught in school. The results were unbelievable. In every case, the time it took me todo the problem using the VM methods was about 10% of what it took me with the
standard methods. In addition, all of the VM problems were solved correctly while I got a
couple of the problems using the old methods wrong. This experiment showed me thatnot only were the VM methods much faster, but, they produced the right answers every
time. I found that the less number work you have to do to solve a problem, the better.Many problems using by VM methods will be solved by writing down the answerdirectly or with very little number work.
When I decided to undertake this project, I anticipated only about 5-10participants. The interest to date has far exceeded that expectation. So far, there are over
30 individuals that have indicated an interest to join this group. Most of the participants
are I believe from India, but, we also have interest from Mexico, France, United States,
Singapore, United Arab Emirates, England and New Zealand. We have a greatopportunity to not only learn these valuable VM techniques, but, come in contact with
other group members from all over the world. I will be providing names and e-mail
addresses of all group members so that there can be what I will call cross learning. Thisgroup is not going to be me strictly sending out information for you to digest and then
wait for my next e-mail. I want you all, to whatever degree you feel comfortable, to
interact with others in the group. If a concept is not explained well, please send me an e-mail and I will try to explain it better. If you still do not understand, please contact other
members in the group for help. We will all be helping each other in this endeavor. All I
ask is that I get copied on e-mails just to assure that everyone is on the right track.
mailto:[email protected]:[email protected] -
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I anticipate e-mailing written material with exercises for you to do. Hopefully, I
will send out material one or twice a week. I would like feedback from everyone
regarding the materials being sent to you, the type, number and difficulty of the exercisesand also your general impressions regarding VM. There will not be any tests of any kind.
You will be doing the work because you want to do it and because it will be fun.
To give you an idea of what I hope to cover, Ive included the following outline.
This syllabus was used for a prior class that I taught. I may decide to discuss certain
concepts out of order, but, will try to keep to this order of topics the best I can.
Vedic Mathematics Study Group Syllabus
Class 1
Short History of Vedic Mathematics
What are the Sutras?
Examples of VM:
Squaring Numbers ending a 5Adding and subtracting fractions
Class 2
1st Sutra Vertically and Crosswise
Multiplying single digits together
Multiplying two digit numbers together
Multiplying three digit number together
Class 3
1st Sutra Vertically and Crosswise Continued
Moving Multiplier
Algebraic Multiplication
Class 4
From Left to Right and Right to Left
Introducing the Vinculum
Class 5
Vinculum continued
2nd Sutra All from 9 the last from ten
What is a base?
Subtracting numbers from a base
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Class 6
Nikhilam Multiplication
Multiplying Number just below 100Multiplying Numbers just below other bases
Multiplying Numbers just above and below a baseProportionality
Class 7
Special Multiplication
Multiplication by 9
Multiplication by 11
Class 8
Multiplying Numbers Near Different Bases
Recurring Decimals
Class 9
Auxiliary Fractions
Class 10
Squaring Numbers
Square Roots
Class 11
Special Division
Division by 9
Division by 8
Division by 11 and 12Algebraic Division
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Class 12
Larger Bases
Dividing by Numbers just above a baseDividing by numbers just below a base
Proportionality
Class 13
Straight Division
One line division by 1-figure numbers
Dividing numbers of any size
Class 14
Decimalizing the remainderUsing bar numbers to simplify the work
Larger Divisors
Class 15
Algebraic Division
Review
This is by no means the end of VM. Depending on how many are interested, we can
explore other areas of math that can utilize the VM approaches we will have learned. These areas
include solution of certain types of equations, applications to geometry and trigonometry. As youwill see, the applications for these methods are everywhere. In fact, new applications are being
developed all the time. We, as a study group, may even come up with some new applications
ourselves.
Each time I send out an e-mail, please let me know that you have received it. Also, if you
have any comments and/or questions regarding the material, please let me know that also. In this
way, I can be certain that everyone is getting the material in a timely manner.
As this is the first e-mail that I am sending to everyone, it is
especially important to let me know that you have received it and that it
was readable.
As soon as I know everyone has received this e-mail and that it
was readable, I will send out the first lesson.
Copyright, 2006 Richard Blum, All rights reserved, No reprints without permission