16 SUTRAS OF VEDIC MATHS PDF

The factors of the sum is equal to the sum of the factors Criticism[edit] Tirthaji claimed that he found the sutras after years of studying the Vedas, a set of sacred ancient Hindu scriptures. When challenged by Professor K. Shukla to point out the sutras in question in the Parishishta of the Atharvaveda, Shukla reported that the Tirthaji said the sixteen sutras were not included in standard editions of the Parishishta and that they occurred in his own Parishishta and not any other. For example, multiple techniques in the book involve the use of decimal fractions, which were not known during the Vedic times: even the works of later mathematicians such as Aryabhata, Brahmagupta and Bhaskara do not contain any decimal fractions. He contends that Tirthaji liberally interpreted three-word Sanskrit phrases to associate them with arithmetic. A number of academics and mathematicians have opposed these attempts on the basis that the techniques mentioned in the book are simply arithmetic tricks, and not mathematics.

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The purpose of this Newsletter is to provide information about developments in education and research and books, articles, courses, talks etc. 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 or tell us about a course or talk you will be giving or have given. If you are learning Vedic Maths, let us know how you are getting on and what you think of this system. I have taught Vedic mathematics for almost twenty years at an independent school in London.

Our associate schools also teach Vedic mathematics. Both teachers and students have found Vedic mathematics of great benefit because it has so many positive qualities. The most obvious of these are found through experience of working with the sutras or formulae. What is Vedic mathematics really about?

What is it about the subject that an English school should use it so thoroughly? In this account I attempt to answer some of these questions. Vedic mathematics is based on sixteen sutras together with a similar number of sub-sutras. Each sutra provides a principle of mental working applicable to many diverse areas of mathematics. The word Veda generally has two meanings. The first is the collection of ancient Indian texts relating to both spiritual and secular knowledge.

The second way that Veda is used is to describe true knowledge in the present which resides within peoples hearts or minds. This is the meaning which we have accepted. It is quite possible that Sri Tirthaji intuited the sutras from his deep understanding of the subject, the Vedas and the nature of the human mind. In my experience it is better to approach Vedic mathematics from the second meaning relating to natural laws working within the human psyche.

This is a practical approach and certainly most of the work in the UK has followed this line. The introduction to Vedic Mathematics indicates that during the early part of the 20th century Sri Tirthaji rediscovered or reconstructed Vedic mathematics from stray references within the appendix portions of the Atharvaveda. He evidently spent a large proportion of his life teaching the system but it was only shortly before he passed away that he set down an illustrative volume on the subject.

This was published posthumously in and is the main source of all the serious study on the subject. His book offers a snapshot of the sutraic system. Some of the sutras are applied to relatively elementary topics in arithmetic and algebra, giving rise to fast and easy methods of calculation.

The really surprising aspect is contained within one of his introductions where he describes these few sutras as having jurisdiction over the whole of mathematics. Years ago when I was first involved with various groups studying Vedic mathematics we all thought this statement outrageous and absurd.

How could sixteen sutras apply to the whole of mathematics? Our view was strengthened by the text due to the paucity of explanation of some of the rules. For example, there is a sutra, Vyashti Samashti, which is mentioned only once in the text and even then it is given in relation to a very particular type of biquadratic equation. As it turns out this sutra is fundamental to mathematics particularly in statistics and mechanics.

It has countless applications because it describes a common mental process. When we first came across Vedic mathematics in London we were impressed by the methods of calculation. Once our enthusiasm was kindled we studied and practiced the whole of his book. We worked through every sum and read and re-read every word to try and make sense of the system.

Over a period of years this work continued and we gradually began to see more and more applications to fast methods of calculation, algebraic manipulations and geometrical theorems.

The next step was to consider topics within mathematics and simply ask, what sutra is working here? For example, what is the sutra working when you bisect an angle or when simplifying an irrational number? The elementary topics are fairly straightforward but what about more sophisticated mathematics?

You are given two circles drawn inside a larger circle so that they all touch each other. The problem is to construct further circles within the Arbelos as shown in the diagram. We worked through some of the conventional solutions to this. There was one particularly elegant solution that seemed the quickest and easiest method.

It required transformations of a series of circles. Whilst looking at this solution it dawned on us that the sutra involved was none other than Transpose and adjust, one of the most common sutras in this Vedic system. These anecdotal instances help describe the nature of what we see as Vedic mathematics.

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If you know of anyone wanting to be put on the newsletter mailing list in this time can you ask them to resend if they did not get a reply. The structure of the. Take a look at www. This holds good for 2 x 2 digit multiplication when either the tens or the units column have the same numeral. Take this example multiply 43 X 44 - what I do is this 3 x 4 is 12 , put down 2 and carry 1 add the nos. 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.

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The purpose of this Newsletter is to provide information about developments in education and research and books, articles, courses, talks etc. 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 or tell us about a course or talk you will be giving or have given. If you are learning Vedic Maths, let us know how you are getting on and what you think of this system. I have taught Vedic mathematics for almost twenty years at an independent school in London.

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The 16 Sutras of Vedic Math

If you are not aware of the benefits offered by the Vedic maths then, you can check all of them below. We have compiled the list of advantages of learning Vedic maths formulas. The tricks and the sutras used in the Vedic Maths are profound which makes it simpler in learning. Helps in Cross-Checking Cross-checking the Maths paper becomes difficult because of the complex calculations but once you are habitual of using Vedic Maths tricks you will be able to cross check the solutions in minimal time. Enhance Logical Thinking One of the most beneficial benefits of using Vedic Maths trick is that it enriches the logical thinking and understanding the Maths problems. Improve Confidence Confidence is not something that can be learned in a day.

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