Hindutva to Bharathiyam

Gone those days of INC setting up the political agenda for India’s future. From 1990 INC is having another political party as its real opposition. This is a great relief for India and its people for future development and to bring an end to dynastic politics. This creates a competition among political parties to project there talented people as there head or PM candidate or party president unlike before son inheriting mother or grandfather. The opposition party is non other than – BJP. This BJP’s raise gave a sense of Alternativism to Indian politics. This will help people to rotate political parties in power. This will help political parties to bring out there best minds as there leaders. This will help in real progress of our country. So for all these things we need to give credit to BJP for brining up such a situation.

From 1990s BJP gave alternative vision for people and country development. This vision brought self esteemed to our people, this vision removed the inferiority complex from the minds of our people, thins made our people to think that we are not less to anybody and finally this made our people to be more aggressive. Apart from all these BJP said it never invented this vision of its own but instead BJP said they got this vision from our own ancestors who lived here before Britishers came and before Moguls came. This vision of our Indian fore fathers made India to flourish in all the aspects before these butchers came to India.

These visions of BJP will transform how people of India will think, how they see world and how they develop. BJP started implementing this vision successfully in 1990 by Ayodhya Rath yatra by Shri.L.K.Advani and subsequently by 1998 Pokhran – II and many more. All these were welcomed by our people by standing ovation. So this made BJP to capture lal – quila in 1998. But today BJP seems a bit in a corner after 2004 Lok Sabha polls. This type of problems happens to any political parties and the same has happened to BJP as well. But this is a real testing time for BJP and people will be carefully watching how BJP overcomes this difficult period. But this is the right period evolve Bharathiyam from Hindutva.

Bharathiyam should aim at creating more aggressive Hindustan and Hindutva and saffron flag at Red fort.

Bharathiyam can become successful only if it captures the imagination of the youth. The present day youth is tomorrow India’s elder statesman. So youth should have bite in this. Younger generation people wanted to see different India. They don’t want India to be afraid of any political pressure from any country, they don’t want poverty, they don’t want to see any thatch houses, they don’t want to see any bad infrastructure, they want competition, they don’t want any perpetrators of our country to go scott free, they don’t mind even doing pre- emptive strikes again anybody who tries to muster internal problems.

Hindutva should evolve to Bharathiyam and in turn will develop India to be a world of its own.

Constitution should be weeded for people to flourish

It all started when our first Prime Minister decided to split Indian provinces on the basis of language and his decision was influenced by Mr. Sri Ramulu’s death by undergoing fast to create a state called Andhra Pradesh. This decision was a fundamental flaw in Nehruvian vision of India and its states. But man is susceptible to do mistakes. But our problem was we dint learn from the mistake. From the beginning to till date our leadership doesn’t have any vision and even the people who have vision doesn’t have courage to implement and the people with courage are confined to narrow electoral gains.

The pathetic situation for our country is, we are not ruled by leaders to betterment but we ruled by the people who are all ruled votes, money, lust for power etc etc. Our present bunches of impotent leaders are not showing even an atom of interest to learn new things by seeing from other countries or by our own experiences. Then why we should have these people as our leaders.

The true colours of myopic decision in past, is ULFA killing Bihari workers. To put down ULFA rampage our union government is sending 20 companies of soldiers from different regions to Assam. But my question is “Whether this action will bring these types of barbaric incidents to end” and the immediate answer to this question is “No”.

But if we see this incident from the other side the prism we can summaries like following. If a problem occurs and to put an end to the problem we usually take two approaches that is short term effort and long term effort. Short term effort is taken to bring the situation under control and the long term effort is taken to prevent such incidents in future even after 50 years or 80 years. But in our prevailing situation sending of troops to Assam may bring the situation under control but in order to prevent such incidents in future what we are going to do. But the irony is we cannot expect any such things from our leaders.

In order to analyze the present situation in Assam let us revisit the history a bit. This ULFA was formed by Assam students in order to prevent people from other Indian states to move into another Indian state of Assam. So this separatist mentality was the result of the actions and policy taken by our first Prime Minister. Later they got themselves armed and they started to fight against our army and ULFA started to make headlines. But successive governments brought lot of economic activities in north eastern states. So this movement got diluted but not eliminated. This ULFA would have not formed if the provinces were not divided on lingual basis.

Not only this but to solve many such problems, BJP with or without knowing decided to bring constitutional amendment in 1998. But immediately congress opposed them as usual. They thought doing changes in constitution is like bringing disgrace to our founding fathers of this country.

But they failed to understand how our founding fathers had right to write the constitution and as a citizen everybody has right to rewrite the constitution. By doing this I am sure we are not offending Mr. Nehru or Mr. Ambedkar. Our Union government should form states reorganization committee and this committee should analyze all the factors like natural resources, people aspiration, size, administrative convenience, literacy rates and what not before forming a state.

The central motive of the states reorganization committee should be “DEVELOPMENT” and “NOT SENTIMENTS”. Sentiments should be given place but it should not guide our policies. This constitutional amendment for states reorganization is just an atomic level problem what we have today in our country. But to sort out all our fundamental problems like this we need to take relook of our constitution on the whole. But this need courage and visionistic leadership which we don’t have.

BUSH FIREs IN MIDDLE EAST

President Bush.sr left the legacy of breaking the Berlin wall and communism. So when Mr. Bush.jr took over the office in 2000 everybody expected him and still expecting what legacy he is going to leave when he demits the office in another 2 years.

From the beginning of 1990s to till date world economy in one way or other is dominated by the OPEC countries by there black gold and not by army or by veto power. Developing countries like India and China very often fight like dogs and cats for oil and gas resources to fuel there booming economies. These OPEC countries play with the oil and gas prices at will and the result – Oil virus plagues the developing countries.

When Mr. Bush.Jr took over the reigns of USA he was first struck by 9/11 by Al-Qaeda, secondly by the economic downturn of USA. The people behind these two events are self styled Osama and oil shined Middle East.

Subsequently to 9/11 Taliban regime in Afghanistan was over thrown. Then Mr. Bush struck again by over throwing Mr. Saddam in Iraq. The second one created controversy throughout world. From east to west and north to south everybody saw Bush as the cruel cowboy.

But his leadership stature increased even further by not succumbing to any external pressure and criticism for his Iraq policy. Mr. Bush from the beginning played his Iraq card in outstanding manner. He knows exactly why he went to war and what he wanted from war and how to win Iraq.

As his first step towards victory in his middle policy Mr. Saddam was hanged. From this he created the vacuum in Sunni leadership in Iraq. Now Sunni’s became vulnerable against Shiites. Obviously this makes them to depend on USA to protect themselves from rejuvenated Shiites. But this doesn’t make Shiites more powerful against Sunnis. So USA became god father to both.

This is a warning bell to all the kings and queens in the Middle East. This policy of USA will bring in more reforms in that region and most importantly in OPEC. These reforms will make OPEC to act sensibly and humanistically.

This legacy of Mr. Bush.Jr will make the OPEC to come out with sensible pricing mechanism for the black gold which will be a great relief for the world.

2nd green revolution

Indian government is allowing 74% FDI in Indian telecom sector and in very near future this government will also allow the FDI in retail sector. Indian retail industry market share is believed to be around 600 to 700 billion dollars. But the government legislation for FDI in retail is not expected atleast till 2008 mid. I should not say this as a problem because these types of delays will be there in democratic countries if they are nearing any elections and that’s what happening in India as well.

But the time has come for the entrepreneurs and other business leaders to see where the investment should be made when once this FDI policy is announced. And also they should think about which business will be booming when once this FDI policy in retail is announced.

The Reliance and Bharati enterprises are the classic examples for us to analyze about how the retailers will do business when once the FDI policy is announced. Since, Reliance and Bharati Enterprises have already forayed into retail business. These two companies thought differently but in same frequency “Why don’t we go to the producers rather than going to distributors?” that was a master stroke idea from these two companies. Now this idea is benefiting lots of farmers in Maharashtra state. This success formula will be replicated by many future retailers and as a result of this the ultimate beneficiaries will be the farmers.

But to become successful in the business the quality of the product which you produce should not be compromised. This is an age old philosophy which need to be followed and will be followed in future as well. So, these retailers must be careful and will be careful of there product. But in order to ensure good quality one cannot bring Banana from banana republic or coffee from Brazil or Apples from Swiss to sell in Mumbai or New Delhi. So they have to depend on food produced in India.

But to the contrast India wastes lot of vegetables even before they come to market. These losses are because of lack of proper pest control mechanism, lack of proper coordinated efforts to increase the yields, lack of proper infrastructure for food preservation and food transportation. Successive governments in India have proved to be taking these issues seriously.

In 1970s India was having severe food shortage and the result was green revolution by India. During that time the problem was food shortage and now this time the problem is food wastage and improper crop protection mechanism.

India did the first green revolution by giving lot of subsides to farmers in form of free electricity, waving off the farm loans, fertilizers in subsidized prices and high quality seeds.

But now unlike to first green revolution the second green revolution should focus on proper coordinated efforts to increase the yields, to create proper infrastructure for food preservation and food transportation.

The crop protection mechanism which we design should be scientifically and not symptomatically. We need to create protection mechanisms which can foresee the problems rather than after see the results. So for this we need centralized online crop protection mechanism. The government should along with the team of agricultural scientist do the job of crop analysis and crop monitoring. This will enable the government to advice farmers about what is happening and what can be done in order to maximize the profit.

But then we encounter another question of how to do this and what technology we can use. For past so many years India has invested huge sums of money in satellite technology and has made excellent progress in it but inspite of this progress we and all the satellite operators will have the difficulties in using this satellite technology for online crop monitoring techniques. So apart from this another technology we can use is GSM.

When this GSM technology is used means it needs considerable number of BTSs in the field. So that the electromagnetic reflection from the ground, plants, water soil etc can be imaged and can be studied by the experts to analyze about the condition of the farm lands.

And this is the gold rush for the GSM operators and GSM equipment vendors. Still recently and even to this minute these GSM operators feels that if we put the BTSs in the rural places no tom dick and harry will make money. To some extent it true as well. But once if vendors come out with this crop monitoring facility in there BTSs the GSM operators will go for it. These facilities can be used by the retailers and government to inform the farmers in advance about the potential problem which he or she will be facing it.

So as result of these efforts farmers will benefit, GSM operators will benefit, government will benefit, retailers will benefit and it will be win win situation for everybody.

Every impact and every stone thrown in water will have ripple effect. This huge success will create a mammoth ripple effect in terms of new vendors, new operators doing FDI in telecom, agriculture, retail etc.

Different policies proposed by different people will have different advantages and disadvantages. The excellent policy today will be obsolete tomorrow. So government should try to make the citizens and policies dynamic. So that both can absorb changes with right frame of mind and at right speed.

Mr.CM you can do it

Mr.Karunanidhi’s love for Tamil and his in depth knowledge of Tamil cannot be questioned by anybody. But is this enough for Tamil nadu to progress socially, economically and politically? Tamil nadu is one of the highly resourceful states with lot of age old educational institution, business centers, natural resources and cultural centers. But still inspite of all this wealth but why lakhs of people in Tamil nadu remain in poverty without proper education, proper shelter and what not.

Tamil nadu in past and present had and is having stalwarts as CMs but Tamil nadu is still not a stalwart state in India. So, what is lacking in Tamil nadu to progress? This question remains to be answered by the political leaders and beurocrates.

Progress means it is not just having some software companies or automobile companies or some gleaming buildings in Anna salai or in and around Chennai. Progress means I am talking about the real wealth distribution throughout the state and not poverty distribution throughout the state, progress means real social justice to every section of people and not just having reservation or quotas to particular section of people, progress means 100% percent literacy, progress means having good health care institutions atleast in majority of places in the state with all the medical facilities, progress means good health cover policy for complicated treatments, progress means good Road – Rail – Air connectivity to all the places in the state, progress means not breaking the statues or burning the public property.

But why this resourceful state is lacking in these aspects? Whether this state doesn’t have educated people – No, whether this state doesn’t have good educational institutions – No, whether this state doesn’t have good cultural centers – No, whether the people of this state is not hardworking – No. But, then why this state is lacking in development? This question remains intriguing to everybody of this state.

The answer for this is we have political leaders but without vision, we have political parties but with narrow mindedness. If you ask(If possible) to any political leader of this state about “HOW DO YOU SEE TAMIL NADU IN ANOTHER 50 YEARS” – The answer you will get to this question will be “ I WILL NOT BE ALIVE AFTER 50 YEARS SO I CANNOT SEE HOW TAMIL NADU WILL BE”. But nobody should mistake me for this sarcastic words but that is the reality and quality of the leaders we have in this state.

So what we can do? Even now it is not late. The leaders should come out of there deep slumber they should awake, they should think beyond there own community, they should think beyond there party, they should think beyond the votes. Naturally these leaders who do this will enjoy the real fruit in just 2 or 3 years and they don’t want to wait for 50 years as they think now.

Now Tamil nadu is gifted with a highly skilled CM with no parallels to him and with still 4 years to go for next election he can do wonders and miracles and he can build his own statue in the minds of the people of this state forever. But the real question is whether this will happen? But only time can tell the answer for this question

future computers will speak in this language

Vedic Mathematics

What is Vedic Mathematics?

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.

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.

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.

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.

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.

copyright to the ACADEMY OF VEDIC MATHEMATICS
_{______________________________________________________}

Books on Vedic Maths

VEDIC MATHEMATICS

Or Sixteen Simple Mathematical Formulae from the Vedas The original introduction to Vedic Mathematics.
Author: Jagadguru Swami Sri Bharati Krsna Tirthaji Maharaja,
1965 (various reprints).
Paperback, 367 pages, A5 in size.
ISBN 81 208 0163 6 (cloth)
ISBN 82 208 0163 4 (paper)/p

MATHS OR MAGIC?

This is a popular book giving a brief outline of some of the Vedic Mathematics methods.
Author: Joseph Howse. 1976
ISBN 0722401434
Currently out of print./p

A PEEP INTO VEDIC MATHEMATICS

Mainly on recurring decimals.
Author: B R Baliga, 1979.
Pamphlet./p

INTRODUCTORY LECTURES ON VEDIC MATHEMATICS

Following various lecture courses in London an interest arose for printed material containing the course material. This book of 12 chapters was the result covering a range topics from elementary arithmetic to cubic equations.
Authors: A. P. Nicholas, J. Pickles, K. Williams, 1982.
Paperback, 166 pages, A4 size./p

DISCOVER VEDIC MATHEMATICS

This has sixteen chapters each of which focuses on one of the Vedic Sutras or sub-Sutras and shows many applications of each. Also contains Vedic Maths solutions to GCSE and 'A' level examination questions.
Author: K. Williams, 1984, Comb bound, 180 pages, A4.
ISBN 1 869932 01 3./p

VERTICALLY AND CROSSWISE

This is an advanced book of sixteen chapters on one Sutra ranging from elementary multiplication etc. to the solution of non-linear partial differential equations. It deals with (i) calculation of common functions and their series expansions, and (ii) the solution of equations, starting with simultaneous equations and moving on to algebraic, transcendental and differential equations.
Authors: A. P. Nicholas, K. Williams, J. Pickles
first published 1984), new edition 1999. Comb bound, 200 pages, A4.
ISBN 1 902517 03 2./p

TRIPLES

This book shows applications of Pythagorean Triples (like 3,4,5). A simple, elegant system for combining these triples gives unexpected and powerful general methods for solving a wide range of mathematical problems, with far less effort than conventional methods use. The easy text fully explains this method which has applications in trigonometry (you do not need any of those complicated formulae), coordinate geometry (2 and 3 dimensions) transformations (2 and 3 dimensions), simple harmonic motion, astronomy etc., etc.
Author: K. Williams (first published 1984), new edition 1999. Comb bound.,168 pages, A4.
ISBN 1 902517 00 8/p

VEDIC MATHEMATICAL CONCEPTS OF SRI VISHNU SAHASTRANAMA STOTRAM

Author: S.K. Kapoor, 1988. Hardback, 78 pages, A4 size./p

ISSUES IN VEDIC MATHEMATICS

Proceedings of the National workshop on Vedic Mathematics
25-28 March 1988 at the University of Rajasthan, Jaipur.
Paperback, 139 pages, A5 in size.
ISBN 81 208 0944 0/p

THE NATURAL CALCULATOR

This is an elementary book on mental mathematics.
It has a detailed introduction and each of the nine chapters covers one of the Vedic formulae. The main theme is mental multiplication but addition, subtraction and division are also covered.
Author: K. Williams, 1991. Comb bound ,102 pages, A4 size.
ISBN 1 869932 04 8./p.

VEDIC MATHEMATICS FOR SCHOOLS BOOK 1

Is a first text designed for the young mathematics student of about eight years of age, who have mastered the four basic rules including times tables. The main Vedic methods used in his book are for multiplication, division and subtraction. Introductions to vulgar and decimal fractions, elementary algebra and vinculums are also given.
Author: J.T,Glover, 1995. Paperback, 100 pages + 31 pages of answers, A5 in size.
ISBN 81-208-1318-9./p

JAGATGURU SHANKARACHARYA SHRI BHARATI KRISHNA TEERTHA

An excellent book giving details of the life of the man
who reconstructed the Vedic system.
Dr T. G. Pande, 1997
B. R. Publishing Corporation, Delhi-110052

INTRODUCTION TO VEDIC MATHEMATICS

Authors T. G. Unkalkar, S. Seshachala Rao, 1997
Pub: Dandeli Education Socety, Karnataka-581325

THE COSMIC COMPUTER COURSE

This covers Key Stage 3 (age 11-14 years) of the
National Curriculum for England and Wales. It consists of three books each of which has a Teacher's Guide and an Answer Book. Much of the material in Book 1 is suitable for children as young as eight and this is developed from here to topics such as Pythagoras' Theorem and Quadratic Equations in Book 3. The Teacher's Guide contains a Summary of the Book, a Unified Field Chart (showing the whole subject of mathematics and how each of the parts are related), hundreds of Mental Tests (these revise previous work, introduce new ideas and are carefully correlated with the rest of the course), Extension Sheets (about 16 per book) for fast pupils or for extra classwork, Revision Tests, Games, Worksheets etc.
Authors: K. Williams and M. Gaskell, 1998.
All Textbooks and Guides are A4 in size, Answer Books are A5.

GEOMETRY FOR AN ORAL TRADITION

This book demonstrates the kind of system that could have existed before literacy was widespread and takes us from first principles to theorems on elementary properties of circles. It presents direct, immediate and easily understood proofs. These are based on only one assumption (that magnitudes are unchanged by motion) and three additional provisions (a means of drawing figures, the language used and the ability to recognise valid reasoning). It includes discussion on the relevant philosophy of mathematics and is written both for mathematicians and for a wider audience.
Author: A. P. Nicholas, 1999. Paperback.,132 pages, A4 size.
ISBN 1 902517 05 9

THE CIRCLE REVELATION

This is a simplified, popularised version of "Geometry for an Oral Tradition" described above. These two books make the methods accessible to all interested in exploring geometry. The approach is ideally suited to the twenty-first century, when audio-visual forms of communication are likely to be dominant.
Author: A. P. Nicholas, 1999. Paperback, 100 pages, A4 size.
ISBN 1902517067

VEDIC MATHEMATICS FOR SCHOOLS BOOK 2

The second book in this series.
Author J.T. Glover , 1999.
ISBN 81 208 1670-6

Astronomica; Applications of Vedic Mathematics

To include prediction of eclipses and planetary positions,
spherical trigonometry etc.
Author Kenneth Williams, 2000.
ISBN 1 902517 08 3

Vedic Mathematics, Part 1

We found this book to be well-written, thorough and easy to read.
It covers a lot of the basic work in the original book by B. K. Tirthaji
and has plenty of examples and exercises.
Author S. Haridas
Published by Bharatiya Vidya Bhavan, Kulapati K.M. Munshi Marg, Mumbai - 400 007, India.

INTRODUCTION TO VEDIC MATHEMATICS – Part II

Authors T. G. Unkalkar, 2001
Pub: Dandeli Education Socety, Karnataka-581325

VEDIC MATHEMATICS FOR SCHOOLS BOOK 3

The third book in this series.
Author J.T. Glover , 2002.
Published by Motilal Banarsidass.

THE COSMIC CALCULATOR

Three textbooks plus Teacher's Guide plus Answer Book.
Authors Kenneth Williams and Mark Gaskell, 2002.
Published by Motilal Banarsidass.

TEACHER’S MANUALS – ELEMENTARY & INTERMEDIATE

Designed for teachers (of children aged 7 to 11 years,
9 to 14 years respectively)who wish to teach the Vedic system.
Author: Kenneth Williams, 2002.
Published by Inspiration Books.

TEACHER’S MANUAL – ADVANCED

Designed for teachers (of children aged 13 to 18 years)
who wish to teach the Vedic system.
Author: Kenneth Williams, 2003.
Published by Inspiration Books.

FUN WITH FIGURES

(subtitled: Is it Maths or Magic?)
This is a small popular book with many illustrations, inspiring quotes and amusing anecdotes. Each double page shows a neat and quick way of solving some simple problem. Suitable for any age from eight upwards.
Author: K. Williams, 1998. Paperback, 52 pages, size A6.
ISBN 1 902517 01 6.
Please note the Tutorial below is based on material from this book 'Fun with Figures'