Vedic Books - Purveyors of fine Indological Books! MY ACCOUNT  MY CART  CHECKOUTVedic Books Sale 2011
LiveZilla Live Help
VEDIC BOOKS » Vedic Maths » What is Vedic Maths? MY ACCOUNT  |  MY CART  |  CHECKOUT
BOOK SEARCH
BROWSE
BROWSE
AGNIHOTRA
ARTS
ASTROLOGY
AYURVEDA
BIOGRAPHY
BUDDHISM
CHILDRENS BOOKS
COMMUNITIES
COOKING
DIARIES
DIVINATION
EDUCATION
ENVIRONMENT
FRANCAIS
GENERAL
GIFT VOUCHERS
HEALING
HINDI BOOKS
HISTORY
INSPIRATION
JYOTISH
LANGUAGES
MASTERS
MEDITATION
MUSIC
ORGANIC FARMING
PHILOSOPHY
PSYCHOLOGY
RELIGIONS
SANSKRIT
SPIRITUAL TEXTS
SPIRITUALITY
TANTRA
TIBETAN BUDDHISM
TRAVEL
VASTU
VEDANTA
VEDIC MATHEMATICS
VEGETARIANISM
WOMEN
YOGA
LATEST RELEASES
LATEST RELEASES  more
Dharma Patanjala a Saiva Scripture from Ancient Java, Studied in the Light of Related Old Javanese and Sanskrit Texts
Dharma Patanjala a Saiva Scripture from Ancient Java, Studied in the Light of Related Old Javanese and Sanskrit Texts
$187.99
$140.99
Affiliate Program
Affiliates

Join Now
Affiliate Log In
Affiliate Information
DAILY WISDOM

We are here to be happy, to live in Bliss. The more we advance in our spiritual unfoldment, the more we know we are Bliss at the core of our existence.

More wisdom...

QUICK INFO
About Us
Shipping Info
Vedic Books FAQ
Privacy Notice
Terms & Conditions
Contact Us
WE ACCEPT
What is Vedic Maths? by Understanding Hinduism

 

Vedic Mathematics is the name given to the ancient system of mathematics which was rediscovered from the Vedas between 1911 and 1918 by Sri Bharati Krsna Tirthaji (1884-1960). According to his research all of mathematics is based on sixteen Sutras or word-formulae. For example, 'Vertically and Crosswise` is one of these Sutras. These formulae describe the way the mind naturally works and are therefore a great help in directing the student to the appropriate method of solution.

 

Perhaps the most striking feature of the Vedic system is its coherence. Instead of a hotch-potch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying, it makes mathematics easy and enjoyable and encourages innovation.

 

In the Vedic system 'difficult' problems or huge sums can often be solved immediately by the Vedic method. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the modern 'system'. Vedic Mathematics manifests the coherent and unified structure of mathematics and the methods are complementary, direct and easy.

 

The simplicity of Vedic Mathematics means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system. Pupils can invent their own methods, they are not limited to the one 'correct' method. This leads to more creative, interested and intelligent pupils.

Interest in the Vedic system is growing in education where mathematics teachers are looking for something better and finding the Vedic system is the answer. Research is being carried out in many areas including the effects of learning Vedic Maths on children; developing new, powerful but easy applications of the Vedic Sutras in geometry, calculus, computing etc.

 

But the real beauty and effectiveness of Vedic Mathematics cannot be fully appreciated without actually practising the system. One can then see that it is perhaps the most refined and efficient mathematical system possible.

 

 

The Vedic Mathematics Sutras

 

This list of sutras is taken from the book Vedic Mathematics, which includes a full list of the sixteen Sutras in Sanskrit, but in some cases a translation of the Sanskrit is not given in the text and comes from elsewhere. 

This formula 'On the Flag' is not in the list given in Vedic Mathematics, but is referred to in the text.

 

The Main Sutras

By one more than the one before.
All from 9 and the last from 10.
Vertically and Cross-wise
Transpose and Apply
If the Samuccaya is the Same it is Zero
If One is in Ratio the Other is Zero
By Addition and by Subtraction
By the Completion or Non-Completion
Differential Calculus
By the Deficiency
Specific and General
The Remainders by the Last Digit
The Ultimate and Twice the Penultimate
By One Less than the One Before
The Product of the Sum
All the Multipliers

 

 The Sub Sutras 

Proportionately
The Remainder Remains Constant
The First by the First and the Last by the Last
For 7 the Multiplicand is 143
By Osculation
Lessen by the Deficiency
Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency
Last Totalling 10
Only the Last Terms
The Sum of the Products
By Alternative Elimination and Retention
By Mere Observation
The Product of the Sum is the Sum of the Products
On the Flag

 

Try a Sutra

Mark Gaskell introduces an alternative system of calculation based on Vedic philosophy

At the Maharishi School in Lancashire we have developed a course on Vedic mathematics for key stage 3 that covers the national curriculum. The results have been impressive: maths lessons are much livelier and more fun, the children enjoy their work more and expectations of what is possible are very much higher. Academic performance has also greatly improved: the first class to complete the course managed to pass their GCSE a year early and all obtained an A grade.

 

Vedic maths comes from the Vedic tradition of India. The Vedas are the most ancient record of human experience and knowledge, passed down orally for generations and written down about 5,000 years ago.

Medicine, architecture, astronomy and many other branches of knowledge, including maths, are dealt with in the texts. Perhaps it is not surprising that the country credited with introducing our current number system and the invention of perhaps the most important mathematical symbol, 0, may have more to offer in the field of maths.

 

The remarkable system of Vedic maths was rediscovered from ancient Sanskrit texts early last century. The system is based on 16 sutras or aphorisms, such as: "by one more than the one before" and "all from nine and the last from 10". These describe natural processes in the mind and ways of solving a whole range of mathematical problems. For example, if we wished to subtract 564 from 1,000 we simply apply the sutra "all from nine and the last from 10". Each figure in 564 is subtracted from nine and the last figure is subtracted from 10, yielding 436.

 

       

1,000   - 564  =  436


1,000     -    5                         6                       4

 
                subtract       subtract          subtract
                 from             from                 from
                    9                         9                        10
                    ¯                         ¯                         ¯ 
                4                    3                   6

               

This can easily be extended to solve problems such as 3,000 minus 467. We simply reduce the first figure in 3,000 by one and then apply the sutra, to get the answer 2,533. We have had a lot of fun with this type of sum, particularly when dealing with money examples, such as £10 take away £2. 36. Many of the children have described how they have challenged their parents to races at home using many of the Vedic techniques - and won. This particular method can also be expanded into a general method, dealing with any subtraction sum.

The sutra "vertically and crosswise" has many uses. One very useful application is helping children who are having trouble with their tables above 5x5. For example 7x8. 7 is 3 below the base of 10, and 8 is 2 below the base of 10.

 

 

 

               7        x      8    =        56



                       7              3       (3 is the difference from base)
                        8              2
                       _________
             
               A      7                3        starting at the left  subtract                
                            wpe5.jpg (898 bytes)            crosswise either 8-3  or
                        8                2         7-2  to get 5, the first figure 
                       __________           of the answer
                        5

               B      7                 3         Multiply vertically
                                         x        
to get (3 x 2)

                       8                 2

                       __________
                       5                 6

                                         

 

The whole approach of Vedic maths is suitable for slow learners, as it is so simple and easy to use.

The sutra "vertically and crosswise" is often used in long multiplication. Suppose we wish to multiply 32 by 44. We multiply vertically 2x4=8. Then we multiply crosswise and add the two results: 3x4+4x2=20, so put down 0 and carry 2. Finally we multiply vertically 3x4=12 and add the carried 2 =14. Result: 1,408.

 

 

             32       x       44         =       1,408

 

    
  A              3            2              Starting from the right  
                                x               multiply vertically

                   4           4               2 x 4 = 8

 

 

  B              3           2               Multiply crosswise
                    
wpe37.jpg (896 bytes)               3 x 4 = 12 and 2 x 4 = 8
                    4           4               Add them together 
                    _______
                     0          8               3 x 4 + 2 x 4 = 20
                  2                             Put down 0 and carry 2

 

 

  C                3          2               Finally multiply vertically
                 x                    
3 x 4  =  12 and add the
                      4          4                carried over 2 = 14

         _______________
         14       0       8
                     2

 

 

     

We can extend this method to deal with long multiplication of numbers of any size. The great advantage of this system is that the answer can be obtained in one line and mentally. By the end of Year 8, I would expect all students to be able to do a "3 by 2" long multiplication in their heads. This gives enormous confidence to the pupils who lose their fear of numbers and go on to tackle harder maths in a more open manner.

All the techniques produce one-line answers and most can be dealt with mentally, so calculators are not used until Year 10. The methods are either "special", in that they only apply under certain conditions, or general. This encourages flexibility and innovation on the part of the students.

 

Multiplication can also be carried out starting from the left, which can be better because we write and pronounce numbers from left to right. Here is an example of doing this in a special method for long multiplication of numbers near a base (10, 100, 1,000 etc), for example, 96 by 92. 96 is 4 below the base and 92 is 8 below.

We can cross-subtract either way: 96-8=88 or 92-4=88. This is the first part of the answer and multiplying the "differences" vertically 4x8=32 gives the second part of the answer.

 

 

  96    x    92     =       8,832

  A    96               4        (4 is the difference from base)     

        92               8       (8 is the difference from base)
         _____________

 

B    96               4      Subtract crosswise from the left
             
wpe38.jpg (889 bytes)
       92               8      96 - 8 = 88 or 92 - 4 = 88
       ______________
        88

 

C   96                4        Multiply vertically
                             x       4 x 8 = 32

      92                8
    ____________
      88               32

            

This works equally well for numbers above the base: 105x111=11,655. Here we add the differences. For 205x211=43,255, we double the first part of the answer, because 200 is 2x100.

 

We regularly practise the methods by having a mental test at the beginning of each lesson. With the introduction of a non-calculator paper at GCSE, Vedic maths offers methods that are simpler, more efficient and more readily acquired than conventional methods.

There is a unity and coherence in the system which is not found in conventional maths. It brings out the beauty and patterns in numbers and the world around us. The techniques are so simple they can be used when conventional methods would be cumbersome.

 

When the children learn about Pythagoras's theorem in Year 9 we do not use a calculator; squaring numbers and finding square roots (to several significant figures) is all performed with relative ease and reinforces the methods that they would have recently learned.

 

 

Mark Gaskell is head of maths at the Maharishi School in Lancashire

www.vedicmaths.org 'The Cosmic Computer'
by K Williams and M Gaskell, (also in an bridged
edition), Inspiration Books, 2 Oak Tree Court,
Skelmersdale, Lancs WN8 6SP. Tel: 01695 727 986.
Saturday school for primary teachers at
Manchester Metropolitan University on
October 7. See website.

19th May 2000 Times Education Supplement (Curriculum Special)

 

 *Click Here* to see books on ‘Vedic Mathematics’ from our book store, www.vedicbooks.net

 

 

 

 

 

 

 

Published with the kind permission of www.hinduism.co.za.

 

Their ‘Understanding Hinduism’ website is an award winning site featuring a whole host of various articles promoting Hinduism. It truly is a wonderful, thoughtful and thought provoking work and a true beacon for the promotion of Hinduism and Vedic culture in the world today.

 

Please visit their enlightening website at www.hinduism.co.za.

 

Copyright reserved by the author.

 

 

For more information, please visit this articles web page.
This article was published on Wednesday 27 May, 2009.
Current Reviews: 0
Write Review
Tell a friend
Tell a friend about this article:  
SHOPPING CART  more
0 items
LOG IN
E-Mail Address:
Password:
Secure Log In
New User
Forgot Password?
TELL A FRIEND
 
We'd love it if you tell a friend about us Just enter their email address and click the envelope (you can also add a messege on the next page).
BESTSELLERS
01.Human Physiology - Expression of Veda and the Vedic Literature
02.Building Architecture of Sthapatya Veda
03.Caraka Samhita (7 vols): Text in Sanskrit with English translation
04.Astanga Hrdayam - 3 Volumes
05.Asana Pranayama Mudra Bandha
06.A Systematic Course in the Ancient Tantric Techniques of Yoga and Kriya
07.Introduction to Sanskrit (Volume I and Volume II)
08.Siddhas: Masters of the basics
09.Kundalini Tantra
10.Vastu Architecture: Design Theory and Application for Everyday Life
11.Health In Your Hands: Acupressure and Natural Therapies (2 Vols.)
12.Hatha Yoga Pradipika
RECENTLY VIEWED
History and Literature of Buddhism
Medicinal Plants and Raw Drugs of India
Indian Fengshui (Vaastu) for American Homes
Hindi Morphology
Paramahansa Yogananda: In Memoriam
The Yoga of Herbs
Sachitra Jyotish Shiksha--Ganit Khanda (Part II)
Freeing the Buddha
The Miracle Engineer
Linguistic Theory, Language Contact, and Modern Hindustani
BOOK REVIEWS  more
Tales for the Young and the Old
Most inspiring. Thank you! ..
5 of 5 Stars!
ARTICLES

New Articles (0)
All Articles (326)
Aromatherapy (16)
Ayurveda (51)
Diet (22)
Green Building (3)
Green Gardening (9)
Jyotish (10)
Natural Energy (5)
Recycling (2)
Sacred Sites (6)
Saints of India (1)
Spiritual Insight (54)
Sustainability (7)
Vaastu (2)
Vedic Agnihotra (10)
Vedic Culture (22)
Vedic Jyotish (23)
Vedic Maths (6)
Vedic Teachings (27)
Vedic Vaastu (4)
Vegetarianism (12)
Water (5)
World Religions (15)
Yoga (13)
TESTIMONIALS

I happily received my book order a week ago. I was pleasantly surprised at the short length of time it took for my order to be processed and delivered. I am very much satisfied and impressed by your services....
Read more...

Spencer


Subscribe to the Vedic Books Newsletter
Newsletter Sign-Up *Email: *Enter the code shown:
Join our Vedic Books family by subscribing to our newsletter and keeping up with divine wisdom from India.

Earn 5% commission simply by linking to Vedic Books !
Learn More about the Vedic Books Affiliates Program



Follow us on Twitter | Browse the Aisles | Search for a Book | Bestsellers | Specials | Latest Releases | Book of the Moment

Contact Us | Help | My Shopping Cart | My Account | Mailing List | Affiliate Program | Tell-a-Friend | Redeem Voucher | Sitemap | Products RSS Feed

Our International Sites: USA | United Kingdom | South Africa

You might also enjoy: Madanapalas | Agnihotra Direct | Ayurveda Direct | Panchakarma

Copyright 2003-2017, Vedic Books | Terms and Conditions


0.158s