BooksHistoryVedic Ma...

# Vedic Mathematics for Schools (Book 3)

About the Book   In this book the Vedic techniques are applied to ordinary school mathematics for eleven and twelve years-old. The arithmatic introduced in books 1 & 2 is extended. The book also deals with the initial stages of solving equations, coordinate geometry, approximations, indices, parallels, triangles, ratio and proportion as well as other topics.   Once a basic grounding has been established with the Vedic methods the nex...

In this book the Vedic techniques are applied to ordinary school mathematics for eleven and twelve years-old. The arithmatic introduced in books 1 & 2 is extended. The book also deals with the initial stages of solving equations, coordinate geometry, approximations, indices, parallels, triangles, ratio and proportion as well as other topics.

Once a basic grounding has been established with the Vedic methods the next stage is the beginning of discrimination. A problem is set and, armed with several techniques, the student must choose the easiest or most relevant for achieving the solution. This book deals with some of the steps required for this training.

J.T. GLOVER is head of mathematics at St. James Independent Schools in London where he has been a teacher for eighteen years. He is director of mathematical studies at the School of Economic Science and a Fellow of the Institute of Mathematics and its Applications. He has been researching Vedic mathematics and its use in education for more than twenty years and has run public courses in London on the subject. Other books by the author are: An Introductory Course in Vedic Mathematics, Vedic Mathematics for Schools, Books 1, 2 and Foundation Mathematics, Books 1, 2 and 3.

Preface

Vedic Mathematics for Schools is an exceptional book. It is not only a sophisticated pedagogic tool but also an introduction to an ancient civilisation. It takes us back to many millennia of India's mathematical heritage. Rooted in the ancient Vedic sources which heralded the dawn of human history and illumined by their erudite exegesis, India's intellectual, scientific and aesthetic vitality blossomed and triumphed not only in philosophy, physics, ecology and performing arts but also in geometry, algebra and arithmetic. Indian mathematicians gave the world the numerals now in universal use. The crowning glory of Indian mathematics was the invention of zero and the introduction of decimal notation without which mathematics as a scientific discipline could not have made much headway. It is noteworthy that the ancient Greeks and Romans did not have the decimal notation and, therefore, did not make much progress in the numerical sciences. The Arabs first learnt the decimal notation from Indians and introduced it into Europe. The renowned Arabic scholar, Alberuni or Abu Raihan, who was born in 973 A.D. and travelled to India, testified that the Indian attainments in mathematics were unrivalled and unsurpassed. In keeping with that ingrained tradition of mathematics in India, S. Ramanujan, “the man who knew infinity”, the genius who was one of the greatest mathematicians of our time and the mystic for whom “a mathematical equation had a meaning because it expressed a thought of God”, blazed many new mathematical trails in Cambridge University in the second decide of the twentieth century even though he did not himself possess a university degree.

The real contribution of this book, Vedic Mathematics for Schools, is to demonstrate that Vedic mathematics belongs not only to an hoary antiquity but is any day as modem as the day after tomorrow. What distinguishes it particularly is that it has been fashioned by British teachers for use at St James Independent Schools in London and other British schools and that it takes its inspiration from the pioneering work of the late Bharati Krishna Tirthaji, a former Sankaracharya of Puri, who reconstructed a unique system on the basis of ancient Indian mathematics. The book is thus a bridge across centuries, civilisations, linguistic barriers and national frontiers.

Vedic mathematics was traditionally taught through aphorisms or Sutras. A Sutra is a thread of knowledge, a theorem, a ground norm, a repository of proof. It is formulated as a proposition to encapsulate a rule or a principle. A single Sutra would generally encompass a wide and varied range of particular applications and may be likened to a programmed chip of our computer age. These aphorisms of Vedic mathematics have much in common with aphorisms which are contained in Panini's Ashtadhyayi that grand edifice of Sanskrit grammar. Both Vedic mathematics and Sanskrit grammar are built on the foundations of rigorous logic and on a deep understanding of how the human mind works. The methodology of Vedic mathematics and of Sanskrit grammar help to hone the human intellect and to guide and groom the human mind into modes of logical reasoning.

I hope that Vedic Mathematics for Schools will prove to be an asset of great value as a pioneering exemplar and will be used and adopted by discerning teachers throughout the world. It is also my prayer and hope that the example of St James Independent Schools in teaching Vedic mathematics and Sanskrit may eventually be emulated in every Indian school.

Introduction

This book is intended as the sequel to Vedic Mathematics For Schools Book 2. It assumes at most of the basic methods have been mastered although many are reintroduced or revised.

The methods are based on the system of Vedic mathematical sutras or rules as they are called in the text. There are said to be sixteen of these sutras and about thirteen sub-sutras. They are to be found in the text of Vedic Mathematics by Sri Bharati Krishna Tirthaji. Due to flexibility in both meaning and application, no distinction is made here between a sutra and a sub-sutra.

The sutras embody laws, principles or methods of working and do not always easily succumb to rigid classification. Some of them have many applications. Transpose and adjust is one such rule. It applies to solving equations, division in fractions and dividing numbers close to a base. It has many other uses at later stages in mathematics and indicates, not a single or particular algorithm, but a general mental procedure. There are other sutras, such as, When the final digits add up to ten, for which the uses appear to be very limited.

It is because of the many faceted quality of the sutras, and that there are so few of them, mat the subject becomes greatly unified and simplified.

As well as developing further the methods for multiplication and division using All from nine and the last from ten there are also further special methods particularly suited to mental computation. New topics are also introduced. These are equations of straight lines, approximations, parallel lines, compound arithmetic, indices, construction of formulae, brackets, factorisation, decimal conversions, direct and inverse proportion, percentage increase and decrease, pie charts, recurring decimals and the geometry of the octahedron.

The text also contains revision chapters and practice examination papers.

Contents

 Chapter 1 Simple arithmetic 1 Chapter 2 Multiplication by All from 9 and the last from 10 10 Chapter 3 Division 17 Chapter 4 Algebra 23 Chapter 5 Coordinate geometry 33 Chapter 6 Approximations 42 Chapter 7 Practice and revision 1 46 Chapter 8 Geometry 49 Chapter 10 Compound arithmetic 72 Chapter 11 Indices 81 Chapter 12 Further division 89 Chapter 13 Factors and multiples 95 Chapter 14 Triangles 104 Chapter 15 Vulgar fractions: addition and subtraction 111 Chapter 16 Vulgar fractions: multiplication and division 121 Chapter 17 Discrimination in division 127 Chapter 18 Further algebra 136 Chapter 19 Ratio and proportion 147 Chapter 20 Fractions to decimals 160 Chapter 21 The octahedron 171 Chapter 22 Practice and revision 2 183 Answers 197

Sample Pages

 Item Code: NAI122 Author: J.T. Glover Cover: Paperback Edition: 2008 Publisher: Motilal Banarsidass Publishers Pvt. Ltd. ISBN: 9788120818194 Language: English Size: 8.5 inch x 5.5 inch Pages: 253 Other Details: Weight of the Book: 270 gms Price: \$25.00Best Deal: \$20.00Discounted: \$15.00Shipping Free
Viewed 3931 times since 11th Aug, 2019

## Items Related to Vedic Mathematics for Schools (Book 3) (History | Books)

The Curious Hats of Magical Maths: Vedic Mathematics for Schools (Set of 2 Volumes)
The Curious Hats of Magical Maths: Vedic Mathematics for Schools (Set of 3 Volumes)
Vedic Mathematics for Schools (Book 2)
Vedic Mathematics for School Book1
The Essentials of Vedic Mathematics
Glimpses of Vedic Mathematics For Quicker Calculations
Enjoy Vedic Mathematics
The Curious Hats of Magical Maths (Book- 2)
A Passage To Infinity (Medieval Indian Mathematics from Kerala and its Impact)
Mathematics in Religion
A Study In The Mathematical Contributions of Varahmihira And His Heritage
History of Science in India - Physics, Mathematics and Statistics (Volume I, Part - I)
Vedic Mathemattics
Vedic Aryans and the Origins of Civilization
Testimonials
Nice collections. Prompt service.
Kris, USA
Thank-you for the increased discounts this holiday season. I wanted to take a moment to let you know you have a phenomenal collection of books on Indian Philosophy, Tantra and Yoga and commend you and the entire staff at Exotic India for showcasing the best of what our ancient civilization has to offer to the world.
Praveen
I don't know how Exotic India does it but they are amazing. Whenever I need a book this is the first place I shop. The best part is they are quick with the shipping. As always thank you!!!
Shyam Maharaj
Great selection. Thank you.
William, USA
appreciate being able to get this hard to find book from this great company Exotic India.
Mohan, USA
Both Om bracelets are amazing. Thanks again !!!
Fotis, Greece
Thank you for your wonderful website.
Jan, USA
Awesome collection! Certainly will recommend this site to friends and relatives. Appreciate quick delivery.
Sunil, UAE
Thank you so much, I'm honoured and grateful to receive such a beautiful piece of art of Lakshmi. Please congratulate the artist for his incredible artwork. Looking forward to receiving her on Haida Gwaii, Canada. I live on an island, surrounded by water, and feel Lakshmi's present all around me.