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


ISSUE No. 14

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.


This issue's article


is by Peter Westbrook, a musicologist, cultural historian and futurist who lectures and performs widely in Europe, India and North America. He is the coauthor of Divine Harmony: The Life and Teachings of Pythagoras (his articles appear in journals such as Cosmos, DownBeat and the Journal of Indian Philosophy and Religion, and he writes CD notes for several labels.) To see some passages from Divine Harmony click on www.sacredscience.com/pythagoras.htm

Click here for the text of the article.





The 9th SEAL (Society for Effective Affective Learning) Conference takes place at The King's School, Canterbury, Kent, UK from 29 March to 1/2 April 2001. This includes a talk by Andrew Nicholas entitled "Vedic Maths - India's System of Mental Mathematics".
Full colour Conference Brochure available. Contacts:
Tel +44 (0)20 8883 3445, Fax +44 (0)20 8444 0339


Andrew Nicholas has also written an interesting article for the SEAL Journal entitled "Vedic Maths, Introducing India's system of mental mathematics and its founder, Tirthaji". This is in the December 2000 issue, pages 21, 22.


Edinboro University of PA in the United States includes Vedic Mathematics as part of a course. The professor teaching the course is Frank Marzano.


There seems to be a growing interest in Vedic Mathematics in Australia: "I, Jain, reside in the northern parts of N.S.W. and am interested in meeting other people who would like to get together, study together and share mathematical principles with, with an intent to promote Vedic Mathematical Seminars here in Australia. I am an authorized school performer teaching the beauty of Magic Squares, The Divine Proportion and Sacred Geometry to children of all ages. For contact:
Website: www.linknet.com.au/jain
Phone: 0266 844409 ".


Jain in Australia has also written some books and here is a quote from a recent email received from him.
THE BOOK OF MAGIC SQUARES, Volume 3, cost= $33). This is a rare indepth visual study of the Vedic Square making a rare connection to how the matrix of single digits from 1 to 9 expose a hidden secret to nuclear geometries. This is exactly what I have been teaching, via theatre, in Australia schools during the last decade as an Authorized School Performer. I also teach this Mathematical Mystery to adults in weekend seminars. Many acclaimed scientists that I have met are amazed how The vedic Square reveals Atomic Crystalline Art. Its like, through the artistic expression of Magic Squares and Vedic Squares I have entered into the world of Atomic Physics THROUGH THE BACK DOOR, linking the scientist's realm with the artist/mathematican's realm. I would be interested to know how much you know about this aspect of the Vedic Square and if any other publications exist regarding the atomic-art-revelation. As far as I have researched, my books on Magic Square Atomic Artforms and Vedic Square Atomic Artforms are totally original and unique.


The two courses advertised in the recent Newsflash are now running in Manchester, England with many interested participants. You may be aware of the neat method of multiplying numbers like 74 x 76 where the first digits are the same and the last digits add up to 10. You multiply the 7 here by the number "One More", which is 8. So 7x8=56 is the left part of the answer. And then multiply the last by the last to get 4x6=24 as the last part of the answer. This gives 74 x 76 = 5624.

One of the course members pointed out a variation of this which we have not seen before. Johnathan Cashdan suggested applying the method to products like 6(1/3) x 6(2/3). That is, six and one third times six and two thirds. Here the left part is the same (6) and the last parts add up to 1 (1/3 + 2/3). So the method applies and 6(1/3) x 6(2/3) = 42(2/9). Very nice!


More workshops are being organised in India. There are some in Goa at the International Centre from March 21st to 23rd.


Barbara Salmon has added some more interesting pages to the Creative Maths website including:
Arithmetical Progression
Geometrical Progression

And some new Art Gallery items:
Ratio 1: n last digits
Ratio 1: n digit sums
Pascal's Triangle - Ratio 1:11


Following on from previous discussion Barbara Salmon has pointed out that there is an example of writing with the least significant digit on the left in the original Vedic Mathematics book by Sri Bharati Krsna Tirthaji.

Ch 35 Cube Roots of Exact Cubes, Algebraic Principle Used - p319.

"Any arithmetical number can be put into its proper algebraical shape as:
a + 10b + 100c + 1000d etc.
.................................................. .......
Note: If one wishes to proceed in the reverse direction, one may do so; and for the sake of facility's the letters substituted (for a, b, c, d etc.) may be conveniently put down as L,K,J,H etc." [he then goes on to demonstrate - using L, K, J, H etc].


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

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Visit the Vedic Mathematics web site at http://www.vedicmaths.org

14th February 2001


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