VedicMaths.Org

In addition to the books in our Bookstore we recommend the titles shown below.

As there are now many books published on Vedic Maths we list here only those known to us as good books, either because we have seen the book or it has been recommended by one of our team. If you would like to send a copy of a book to us please send to the following address but please note this will not guarantee we will list it on this page.
Kenneth Williams, Academy of Vedic Mathematics, Carsphairn, Castle Douglas, DG7 3TE, Scotland, U.K.

N.B. We performed a web search for other books on Vedic Mathematics (last updated April-May 2016). The results of this can be found on the links in the menu on the right.

Pebble Maths

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The Curious Hats of Magical Maths, Books 1 & 2

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Description

The Curious Hats of Magical Maths are introductory workbooks on Vedic Mathematics. They lead you into some unique, enjoyable and very quick methods of working with numbers. There are full descriptions of these methods together with worked examples for you to follow and plenty of practice exercises. They are in workbook style so answers can be written in the spaces provided. The answers are at the back of the book to check your work. The problems and methods are suitable for any age but probably most apt for 11 – 13 year-olds, Indian Class VI – VII, UK Years 7 – 8. The aim is to introduce some of the Vedic mathematical techniques and not to cover the whole of the mathematics syllabus for 11 - 13 year-olds. The books can be used for support material, extension material or simply by those wishing to find fast techniques for solving problems.

Vedic Maths is based on a few simple rules that enable you solve all types of mathematical problems. In this series, each rule is represented by a hat specifically designed to convey something of the meaning of the rules.

Book 1 covers fast methods for multiplication, division, addition and subtraction puzzles, number patterns, stories, digital roots and decimals. Book 2 develops further the methods for multiplication and division and includes squaring, products and factors, fractions, algebra, equations, decimals, ratio and proportion, percentages, averages, problems.

Now on sale through Amazon at,

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and

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Vedic Mathematics for All Ages: A Beginners' Guide

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Forword vii
Preface ix
Feedback xi
Introduction xv

Chapters

1. Complement 1
2. Subtraction 7
3. Multiplication by Specific Numbers 35
4. Base Multiplication 59
5. Working base Multiplication 87
6. Multiplication 97
7. Algebra
8. Digital Roots 139
9. Divibility 143
10. Division I 151
11. Division II 175
12. Squares 193
13. Straight Squaring 221
14. Cubes 237
15. Square roots of exact squares 257
16. Cube roots of exact cubes 263
18 Square Roots II 283

Sutras 293
Glossary 295
index 296

Description

This book teaches you to calculate fast and in straight steps. The graphics and colours used in the book make it user friendly and easy to understand. The fun filled activities in each chapter make the process of learning Vedic Mathematics enjoyable for all ages. this book of Vedic Mathematics will help you to become confident and skilled mathematicians without calculators. [from the back cover]

Vedic Mathematics for Schools - Books 1, 2 and 3

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Details

J T Glover, 1995, 1999, 2002
Published by Motilal Banarsidass

Book 1

ISBN 81-208-1318-9

Amazon Link US
Amazon Link UK - (with CD)
Amazon India Link - (with CD)
Motilal Banarsidas Link - (with CD)
Google Books Link
Google Books (Partial Copy) Link

Book 2

ISBN 81-208-1670-6

Amazon Link US
Amazon Link UK - (with CD)
Amazon India Link - (with CD)
Motilal Banarsidas Link - (with CD)
Google Books Link
Google Books (Partial Copy) Link

Book 3

ISBN 81-208-1819-9

Amazon Link US
Amazon Link UK - (with CD)
Amazon India Link - (with CD)
Motilal Banarsidas Link - (with CD)
Google Books Link
Google Books (Partial Copy) Link

Contents Book 1

Chapter 1 Simple practice of number   1
Place value. Patterns in number. Addition and subtraction. Multiplication practice. Division practice.

Chapter 2 Multiplication by Nikhilam   9
What is multiplication? Complements. Multiplication of single digit numbers. Multiplication using a base of 100. Multiplication using a base of 1000. Multiplication above the base.

Chapter 3 Division   19
Simple division. Division with remainders. Naming the parts of a division sum. Dividing by Nine. Nikhilam division. Divisors with base 100 and 1000. Nikhilam division with any base.

Chapter 4 Digital Roots   27
Adding the digits of a number. Digital roots for the times tables. Casting out nines. The 9X table.

Chapter 5 Multiplication by Vertically and Crosswise   32
Two-digit by two-digit multiplication. Multiplying by a single digit. Multiplying larger numbers.

Chapter 6 Subtraction by Nikhilam   39
Complements. Subtraction using complements. Starting with complements in the middle of a sum. Finishing with complements in the middle of a sum. The general case of subtraction.

Chapter 7 Vulgar Fractions   46
What is a fraction? Naming fractions. Denominator. Numerator. Fractions of shapes. Finding a fraction of a quantity. Adding Fractions. Equivalent Fractions. Fractions to infinity.

Chapter 8 Decimal Fractions   58
About decimals. Naming, reading and writing decimal numbers. Addition of decimals. Column addition with decimals. Subtraction of decimals. Using nought to fill the space. Multiplication of decimals. Multiplying and dividing multiples of ten. Division of decimals. Working with money.

Chapter 9 The Meaning of Number   72
The circle of nine points. The number one. Product. Factors. Divisibility. Prime numbers. The Sieve of Eratosthanes. Number two. Odd and even numbers. Multiples. The number ten. Summary.

Chapter 10 Vinculums   83
Adding and subtracting ten and other numbers ending with nought. Vinculum numbers. Adding and subtracting vinculum numbers.

Chapter 11 Algebra   91
Codes. Finding the value of expressions. Equations. Solving equations. Simplifying.

Contents Book 2

1   Multipying by All from 9 and the last from 10
Complements, Using complements in calculations, Multiplication using All from nine and the last from ten, multiplying numbers above a base, How does it work? Above and below

2   Vertically and crosswise multiplication
The general case, Multiplying large numbers, Multiplication by 11, Multiplication by 12, Multiplying numbers with final noughts

3   Division
The nature of division, Simple division, Division by All from 9 and the last from 10, Division by Transpose and Adjust

4   Subtraction by All from 9 and the last from 10
Subtraction using complements, Starting with complements in the middle of a sum, Finishing with complements in the middle of a sum, The general case of subtraction, Turbo Subtraction

5   Prime and composite numbers
Highest common factor, Prime numbers, Composite numbers, Lowest common multiple, Coprime numbers, Summary of definitions for primes and composite numbers

6   Fractions
Equivalent fractions, Improper fractions and mixed numbers, Multiplying fractions, Multiplication of mixed numbers, Division of fractions, Division of mixed numbers

7   Algebra
First Principles, Simplifying, Simple equations, Solving equations by Transpose and Adjust, Multiplication, Brackets, Simplifying with indices

8   Practice and Revision 1

9   Geometry 1
Dodecahedron, Notes on drawing, To construct the internal angle for the dodecahedron, Exterior model, To draw a straight line any number of times as long as a given straight line, To draw a perpendicular near the end of a straight line, To bisect a straight line perpendicularly, To drop a perpendicular from a point to a given straight line, To bisect a given angle, To copy a given angle, To divide a given line into any number of equal parts, To construct a triangle given the lengths of the three sides, Touching circles

10   Digital roots
Summing digits, Casting out nines, Using digital roots to check answers

11   Divisibility
First Principles, Two, five and ten, Four and eight, Nine and three, Divisibility rules, Divisibility rules for composite numbers

12   Addition and subtraction of fractions
Adding with the same denominator, Adding when one denominator is a factor of the other, Addition using Vertically and crosswise with coprime denominators, Vertically and crosswise for non-coprime denominators, Subtraction with the same denominators, Subtraction when one denominator is a factor of the other, Subtraction using Vertically and crosswise with coprime denominators, Vertically and crosswise with non-coprime denominators, Summary, Practice with mixed numbers

13   Decimal fractions
Place Value, Decimal Point, Addition and subtraction of decimals, Three types of remainder, Converting decimal fractions into vulgar fractions, Converting vulgar fractions into decimal fractions

14   Perimeters and areas
Perimeters, Area, Areas of rectangles, Compound areas, Areas of triangles

15   Straight division
Straight division, Altered remainders, Straight division with altered remainders

16   Practice and revision 2

17   Working base multiplication
Using a working base

18   Ratio and proportion
Ratio, Proportion, Solving Ratio Equations, Problems in Direct Proportion, Problems in Indirect Proportion

19   Geometry 2 - The Rectangle Propositions
The characteristics of a rectangle, Triangles in Semicircles, To construct a perpendicular at a given point on a straight line, To construct a square on a given base, To draw a rectangle within a circle, To draw a rectangle with a given base, To draw a rectangle with a given base and a given height, The golden rectangle, Any triangle is half a rectangle, Through a given point to draw a line parallel to a given line, To draw a square twice as large as a given square

20   Order of Operations
Multiple products, Mixed multiplying and dividing, Mixed additions and subtractions, Collecting like terms, Mixed operations, Brackets

21   Multiplication and division of decimals
Multiplication and division by powers of ten, Factors and multiples of powers of ten, Single digit multipliers and divisors, Multiplication of decimals by Vertically and crosswise, Problems, Straight decimal division, Moving the decimal point

22   Percentages
What is a percentage? Finding a percentage of a given quantity, Expressing one quantity as a percentage of another, Percentage increase and decrease

23   Averages
Finding the average, Using a module to find the average

24   Graphs
Distance/Time Graphs, Frequency tables, Bar charts

25   Calculations using vinculums
Multiplication, Further multiplication using vinculums, Rules for multiplying vinculums, Adding and subtracting vinculums, Vertically and crosswise multiplication with vinculums

26   Geometry 3 - Angles
Types of angle, The unit for angles, To draw an angle equal to 60˚, To draw an angle of 30˚, Measuring angles, Types of angle, Angles about a point, Angles on a straight line, Naming angles

27   Practice and Revision 3

   Appendix - Tables of weights and measures   231

Contents Book 3

Chapter 1 Simple arithmetic
Addition; subtraction; multiplication; division; problems; rules for signs in addition and subtraction; rules for signs in multiplication and division

Chapter 2 Multiplication by All from 9 and the last from 10
Multiplying below the base; multiplying above the base; multiplying above and below the base; squaring numbers close to a base; squaring numbers ending in 5; when the final digits add up to 10

Chapter 3 Division
Simple division; division by 9; division by All from nine and the last from ten; division by Transpose and adjust

Chapter 4 Algebra
First principles; solving equations; two-stage equations by Transpose and adjust; expanding brackets; equations with brackets; making up expressions; dealing with minus signs; solving equations with minus signs

Chapter 5 Coordinate geometry
Coordinates; straight lines on graphs; coordinates which satisfy an equation; plotting a straight line from a given equation

Chapter 6 Approximations
Rounding off; decimal places; significant figures; working to a given number of decimal places

Chapter 7 Practice and revision 1

Chapter 8 Geometry
Revision of basic constructions; angles in relation to a circle; angles in a triangle; parallel lines

Chapter 9 Arithmetic practice
Tuning up practice; multiplying and dividing by powers of ten; using the Proportionately rule; further use of Proportionately

Chapter 10 Compound arithmetic
Addition; subtraction; multiplication of compound quantities; division; compound arithmetic with metric units

Chapter 11 Indices
Indices; laws of indices; areas and volumes

Chapter 12 Further division
Two-digit divisors with whole number remainders; altered remainders; straight division with altered remainders

Chapter 13 Factors and multiples
Summary of definitions; divisibility; divisibility rules; test for 11; prime factors; highest common factor; using prime factors to find the HCF; finding the HCF by Elimination and retention; finding the LCM by Vertically and crosswise; investigation into primes

Chapter 14 Triangles
Construction of triangles

Chapter 15 Vulgar fractions: addition and subtraction
Naming terms; equivalent fractions; improper fractions and mixed numbers; addition and subtraction; comparing fractions

Chapter 16 Vulgar fractions: multiplication and division
Multiplying fractions; dividing by a fraction; mixed practice

Chapter 17 Discrimination in division
Extending simple division; division by nine; division by All from nine and the last from ten; division by eleven; division by Transpose and adjust; dividing by 5; proportional division; straight division with altered remainders; using a vinculum in the flag; choosing which method to use

Chapter 18 Further algebra
Simplifying in addition and subtraction; simplifying in multiplication and division; using brackets; factorising expressions; multiplying binomials by Vertically and crosswise; construction of formulae; substitution; using formulae

Chapter 19 Ratio and proportion
Ratio; proportion; solving ratio equations; problems in direct proportion; problems in inverse proportion; dividing a quantity in a given ratio; percentages; percentage increase and decrease; pie charts

Chapter 20 Fractions to decimals
Large recurring decimals of a particular type; converting fractions to decimals by division; how to write recurring decimals; Proportionately; one seventh

Chapter 21 The octahedron
Octahedron; internal model for octahedron; truncating the octahedron

Chapter 22 Practice and revision 2

Answers   197

Description

Vedic Mathematics For Schools, in three books, contain many introductory elements of Vedic mathematics as well as dealing with topics required for teaching mathematics to 11 – 13 year-olds.

Each method used for numerical calculations is introduced separately and exercises are carefully graded to enable the distinct developmental steps to be mastered. Each technique is denoted by one or more of the sutras. The text incorporates explanations and worked examples of all the methods used and includes descriptions of how to set out written work.

The course has been written in conjunction with teaching groups of children in the first three years of high school. The main emphasis at this stage is on developing numeracy and its principal fields of application, since this is the most essential aspect of mathematics. The books concentrate on these areas of mathematics and treats them as the core curriculum of the subject.

Experience has shown that children benefit most from their own practice and experience rather than being continually provided with explanations of mathematical concepts. The explanations given in this text show the pupil how to practise so that they may develop their own understanding.

It is to be hoped that teachers may provide their own practical ways of demonstrating this system or of enabling children to practise and experience the various methods and concepts. It is difficult to appreciate the full benefits of Vedic mathematics unless one gets immersed in the techniques, leaving behind all previous personal paradigms and prejudices about mathematics.

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, that the subject becomes greatly unified and simplified.

Math is not a Four Letter Word - An Introduction to the Study of Vedic Mathematics

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Pages

Chapter 1 – What is Vedic Math? 1-3

Chapter 2 – Vedic Addition

Basic Left to Right Addition 4-7

Chapter 3 – Vedic Subtraction

Basic Left to Right Subtraction 8 -12
Subhendo Sen’s Method of Subtraction 12-16
Vinculum Subtraction 16-21
Dot Subtraction 21-25
Comments 25

Chapter 4 – Fractions

Addition of Fractions 26-28
Subtraction of Fractions 28-29

Chapter 5 – Vedic Multiplication

Vertically and Crosswise 30-33
Algebraic Multiplication 33-34
Vertically and Crosswise Chart 35
Multiplication of 2 Numbers Close to 10 36-39
Multiplication of 2 Numbers Close to 100 39-44
Multiplication of 2 Numbers Close to 1000 44
Algebraic Proof of Base Multiplication Method 44-45
Multiplication of Numbers Near Working Bases 45-51
Multiplication Near Different Bases 51-55
General Case – Multiplying Different Multiples of Different Bases 55-56

Chapter 6 – Vedic Division

Division By 9 57-61

Division By 8 61-63
Algebraic Division by x-1 and x-2 63-66
Division By 11 66-69
Division By 12 69-71
Division By x+1 and x+2 71-72
Division by a Higher Base 72-79
On the Flag Division 79-82
Dividing into Larger Number 82-84
Decimalizing the Remainder 84-85

Modern Approach to Speed Math Secret - Key to Master Speed Mathemagic

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1.	Inter Base Conversion Method	1
2.	Monodigit Number	12
3.	Faster division by 10ⁿ 1 or monodigit number	37
4.	Global Number System	42
5.	Ripple operator	58
6.	Derivation of Trachtenberg Formulae to Multiply any Number with 3-12	65
7.	Square of number close to 10ⁿ having tens digit as x=7, 8 or 9	71
8.	Square, Square Root and Cube of Specific Number	72
9.	Recursive Square Method	77
10.	Sliding Ruler Multiplication Method ( Unification of Vertically Crosswise and Trachtenberg Multiplication Method )	80
11.	Duplex square made easy	87
12.	Osculation based divisibility Test	90
13.	Divisibility by 10ⁿ ± 1 and Its Application	98
14.	Remainder Corollary	106
15.	VJ’s Universal Divisibility Test	112
16.	Divisibility Chart	128
17.	N^th power of two digit number made easy	129
18.	Novel Approach for Multinomial Expansion	136
19.	Computing m^th Root of n digit number	139
20.	Magical Game	143
21.	Calendar calculation made easy	162
22.	Why 0.999...... =1 ?	167
23.	Common Balance Puzzle	169
24.	Shift Add Representation and its Application	172
25.	VJ’s Multiplication Method	177
26.	Modified Quine-McCluskey Method ( For engineering student )	184

Learn and Teach Vedic Mathematics

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Contents
Foreword.
Preface.
I. Ancient wisdom
1. Urge to know.
2. Learn and teach.
3. Four courses first course learn and teach Vedic mathematics on geometry formats.
4. Second course Vedic mathematics for beginners.
5. Third course mathematics chase of Sanskrit.
6. Fourth course transcended basis of human frame.
7. Why Vedic mathematics.
8. Glimpses of Vedic mathematics.
9. Multi dimension of time space and time and space in Mansara.

II. Ganita Sutras geometric formats
1. Ganita Sutras text.
2. Format of Ganita Sutra 1.
3. Format of Ganita Sutra 2.
4. Format of Ganita Sutra 3.
5. Format of Ganita Sutra 4.
6. Format of Ganita Sutra 5.
7. Format of Ganita Sutra 6.
8. Format of Ganita Sutra 7.
9. Format of Ganita Sutra 8.
10. Format of Ganita Sutra 9.
11. Format of Ganita Sutra 10.
12. Format of Ganita Sutra 11 16.

III. Space book
1. (English pairing).
2. A An The.
3. That this
4. One.
5. Two.
6. (Mirror content).
7. (Linear order).
8. (The end Be end God).
9. Seed Space seed Seed space seed.
10. Vedic mathematics operations.
11. Space book chapter order/four sequential formulations first second third and so on.

IV. Sun God creator
1. Sequential formulations one two three and so on.

V. Shrimad Bhagwad Geeta
1. Geeta study zone chase step I.
2. Geeta chapter 1.
3. Tables.
4. Electronic configurations tables (chapters 1 to 18).
5. Chase as manifestation layer (3 4 5 6).

VI. Features of basics
1. Basics features formulations.

VII. Initial lessons
1. Lesson 1 Ganita Sutras.
2. Lesson 2 Ganita Upsutras.
3. Lesson 3 Ganita Sutra 1.
4. Lesson 4 Number cone.
5. Lesson 5 Domain boundary ratio.
6. Lesson 6 Geometric components formulation.
7. Lesson 7 Existence of higher spaces.
8. Lesson 8 Outward and inward expansions.
9. Lesson 9 Geometries of 3 space.
10. Lesson 9 (2n+1) geometries for n space.
11. Lesson 11 Requirement of 960 cubes to net 6 space domain.

VIII. For cosmic intelligence learning from Stage I
1. Text.
2. Mathematics activity.
3. Lesson 1 Counting with rule from 1 to 10.
4. Lesson 2 Number line.
5. Lesson 3 Counting with rule from 10 to 19.
6. Lesson 4 Counting with rule from 20 to 29.
7. Four weeks training course for first stage Vedic mathematics teacher.
8. Group one Lesson 1 to 10 for first week of first semester of training course.

IX. Appendices.

Description

This is another book in series of five previous books of Dr. S.K. Kapoor. This very gently is taking us towards is intuition and conviction as that Vedic knowledge is lively within rays of the sun. In his words Vedas are written on rays of the sun. He feels blissfully about everything all as a single domain and a single discipline of knowledge. Step by step his thesis about nature as common source of all ancient wisdom is unfolding blissfully. The beauty with which the ancient wisdom unfolding as Ganita Sutras and number value formats as organization formats of orthodox and classical English Vocabulary is preserving is enchanting. It stimulates the intelligence. It stimulates and perfects the intelligence transcending the manifested formats of formulation as English Vocabulary has started unfolding through this approach. It is wonderfully embracing humbleness to get posed with uncomfortable situation eluding answer as to how it all stood designed and then at what point of time and then further by whom. 308 pp.

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Description

This book is an abridged version of the Cosmic Calculator books which form part of a full course based on Vedic Mathematics. It will appeal to teachers, parents, pupils of all ages from eight upwards and anyone who enjoys the beauty and precision of mathematics. An excellent introduction to the Vedic system.

The book is beautifully illustrated with a striking full-colour picture of a painting on the front cover and is almost A4 in size. It is written to the student, has many examples, and exercises with answers.

Reviews

"This book is a delight" - Andrew Nicholas, Maths teacher

"Congratulations . . . a beautiful exposition of the essential elements of Vedic Mathematics" - Brian McEnery Ph.D.

"My nine year old daughter always looks forward to working from the book. She is not particularly keen on maths at school but she enjoys the book so much she doesn't want to stop" - Bernard Bence

"This book is really well set out and very easy to read" - Peter Harrison, Bookseller

Introduction

This book is an abridged version of the Cosmic Calculator books which form part of the Vedic Mathematics course written for schools which covers the National Curriculum for England and Wales.

This shortened version is a response to a demand for some of the Vedic Mathematics content of the course to be made available in a single volume. Consequently it contains much of the material which is especially original, but it is not intended as a complete course. So, for example, there is no introduction to decimals or algebra. The book covers a considerable range from simple addition and subtraction to quadratic equations. There are plenty of exercises to practice the easy Vedic methods and answers are included.

The original course is aimed at 11-14 year old pupils and is a complete course covering Arithmetic, Algebra, Geometry and Statistics. It also includes, in the Teacher's Guides, hundreds of specially designed mental tests, about 45 extension sheets, teacher's notes, revision tests, games, worksheets etc. and a Unified Field Chart which shows the development of the parts of mathematics in relation to the whole.

Vedic mathematics was rediscovered from ancient Indian texts, called the Vedas, by Bharati Krsna Tirthaji (1884-1960) between 1911 and 1918. His book 'Vedic Mathematics', 1960, is currently available and the Cosmic Computer course has been developed over many years from this work.

Anyone familiar with the Vedic system will be aware of the remarkable techniques: 'difficult' problems or huge sums which can be solved immediately by the Vedic method. These striking and beautiful methods are part of a complete system of mathematics which is far more systematic than the modern 'system'. Vedic Mathematics brings out 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 and this is very much encouraged in the course. The Vedic system develops creativity in the students partly through encouraging mental calculation; students like to devise their own methods. The Vedic system also cultivates intuition so that both hemispheres of the brain can work together- having a conscious proof or explanation of a method or result is not essential (although all methods shown in the course are fully explained). Students are shown general methods and also special methods which apply in special cases. This means they do not rigidly have to follow a certain procedure but have a choice and can invent their own methods. As in life every problem is unique and invites its own method of solution.

The use of the Vedic formulae or Sutras is a great help. They describe the various ways that the mind can be used (extending, reversing, combining ideas, generalizing etc.) and thereby help in developing these faculties. It is not necessary for the pupil or teacher to learn these- they become familiar after a while and seem quite natural.

The title of this book, The Cosmic Computer, is from Maharishi Mahesh Yogi who said some years ago that the Sutras of Vedic Mathematics are the software for the Cosmic Computer: it is the Cosmic Computer that determines the outcome of every event in the universe, according to the laws of nature.

Vedic mathematics is being taught in some schools with great success. Pupils progress faster and very much enjoy their work under this system, which has rightly been called "Mathematics with Smiles".

CHAPTER TITLES

1 DIGIT SUMS AND THE NINE-POINT CIRCLE
2 THE DIGIT SUM CHECK [checking sums using digit sums]
3 ADDITION AND SUBTRACTION [some special methods]
4 DOUBLING AND HALVING
5 NUMBER SPLITTING
6 ALL FROM 9 AND THE LAST FROM 10
7 BAR NUMBERS AND SUBTRACTION
8 NIKHILAM MULTIPLICATION [for numbers near a base]
9 ON THE FLAG [calculating from left to right]
10 BY ONE MORE THAN THE ONE BEFORE [special multiplication devices]
11 DIVISIBILITY
12 GENERAL MULTIPLICATION
13 ALGEBRAIC MULTIPLICATION
14 SQUARING
15 EQUATIONS
16 VERTICALLY AND CROSSWISE [combining fractions, equation of a line]
17 SPECIAL DIVISION [dividing by numbers near a base]
18 RECURRING DECIMALS [converting fractions to decimals]
19 FURTHER MULTIPLICATION
20 SQUARES, CUBES AND ROOTS
21 STRAIGHT DIVISION [general division]
22 AUXILIARY FRACTIONS [further recurring decimals]
23 SIMULTANEOUS EQUATIONS
24 DIVISIBILITY AND SIMPLE OSCULATORS
25 SQUARE ROOTS [general method]
26 QUADRATIC EQUATIONS
27 TRIPLES [introduction to Pythagorean triples]

Back Cover

The remarkable system of Vedic Mathematics was rediscovered from ancient Vedic texts earlier this century. The Vedic system with its direct, easy and flexible approach forms a complete system of mental mathematics (though the methods can also be written down) and brings out the naturally coherent and unified structure of mathematics. Many of the features and techniques of this unique system are truly amazing in their efficiency and originality.

Being a mental system, Vedic Mathematics encourages creativity and innovation. Mental mathematics increases mental agility, improves memory, the ability to hold ideas in the mind and promotes confidence, as well as being of great practical use.

With the growing popularity of Vedic Mathematics in schools, a full Vedic Mathematics course, The Cosmic Computer course, has now been written which covers the National Curriculum Key Stage 3. This book is a shortened version of that course, containing the most striking of the Vedic methods. Though written for 11-14 year old pupils some of the earlier chapters would be appropriate for younger children and all of the material is suitable for older students as the content is so original. The coherence and freshness of the Vedic system will appeal to anyone who enjoys the beauty and precision of mathematics.

25 Math Short Cuts

Cover

Advanced Praise for 25 Math Short Cuts and its Author
Foreword
Acknowledgments Preface
Dedication
Introduction

MSC # l :   Addition by Creating Zeroes
MSC # 2:   All from 9 and the Last from 10 Subtraction   3
   Birthday Calculator   6
MSC # 3:   Subtraction without Borrowing   7
   Calculator Trick: Two-Digit Number    10
MSC # 4:   Multiplying by 11   11
   How to Compute Lumber Measurements   14
MSC # 5   Multiplying by 2   15
MSC # 6:   Dividing by 2   19
   Math Story Doubling and Halving
   When Buying T-Shirts   22
MSC # 7:   Doubling and Halving Together   23
   Lucky Seven Trick   24
MSC # 8.   Multiplying by 9   25
   Calculator Trick Three-Digit Number   27
   Conversion: Kilograms to Pounds   28
   Conversion: Pounds to Kilograms   28
MSC # 9:   Dividing by 5, 50, 0.5 etc.   29
   Conversion: Meters to Feet   32
   Conversion: Feet to Meters   32
MSC # 10:   Multiplying by 5, 50, 5%, etc.   33
   Conversion: Kilometers to Miles   35
   Conversion: Miles to Kilometers   36
MSC # 11:   Dividing by 9   37
MSC # 12:   Dividing by 4 and 8   41
MSC # 13:   Multiplying by 25, 250, and 125   45
MSC # 14:   Dividing by 25, 250, and 125   49
   Calculator Trick: Five-Digit Number   51
   Conversion: Feet, Inches to Meters   52
MSC # 15:   Squaring Numbers Ending in 5   53
   MATH Story: Computing Commissions   55
MSC # 16:   Multiplying Complementary Numbers   57
   Conversion: Meters to Feet, Inches   60
   The 1089 Magic   60
MSC # 17:   Base Multiplication: Teens and Other
   Numbers Above the Base   61
   Conversion: Yards to Meters   64
   Conversion: Meters to Yards   64
MSC # 18:   Base Multiplication:
   Numbers Below the Base   65
MSC # 19:   Base Multiplication: One Number Above
   and One Number Below the Base   67
MSC # 20:   Squaring Numbers near a Power of Ten   69
   MATH Story: Carabao Fractions   71
MSC # 21:   Squaring Numbers near 50   73
   MATH Story: Dried Fish Arithmetic in Action   75
MSC # 22:    Multiplying Numbers with the Same Units
   Digit and Tens Digit that are Complementary   77
   Conversion: Celsius to Fahrenheit   79
   Conversion: Fahrenheit to Celsius   80
   The Magic of Your Favorite Number:   80
MSC # 23:    Multiplying Numbers Ending in 5   81
MSC # 24:    Multiplying Numbers when their
   Average is a Multiple of 10   85
MSC # 25:    Squaring Any Number   89
Answer Key       92
About MATH-Inic    96
About Vedic Math   97
About the Author   98

Description

Knowing how to calculate quickly, without the need of a calculator or pen and paper is a very useful skill. Whether you need to divide a dinner bill among friends, double a recipe, compute for a discount or commission, or figure out how many more pages of your textbook you have to read, knowing math shortcuts can make your life so much easier.
The 25 short cuts included in this book are some of the most useful in everyday life and among the easiest to master.

Packed with useful calculation methods, neat Math tricks and amusing anecdotes, and all explained in a fun and very readable style! – Kenneth R. Williams, Founder, Vedic Mathematics Academy(UK)

What I see in … this book’s collection of “tricks” is practical Algebra. They will be important for our children…ensuring that they understand Math before calculators and computers come in. – Michael L. Tan, DVM, Ph.D., Chancellor UP Diliman

Ike’s book is very useful. I certainly enjoyed reading it and learned some new things as well. – Reynaldo B. Vea, Ph. D., President, Mapua Institute of Technology

I really like your short cuts. I now realize how easy a lot of things in computing would have been if I learned your shortcuts early in life. Your techniques should reach as wide a readership/adherence as possible, especially among young ones. – Gen. Hermogenes Esperon(Ret.), National Security Adviser

25 Math Short Cuts is a book every household should have, and should be read by all its members, children and elders alike. – Cielito Habito, PH.D., former Director-General , National Economic and Development Authority and Socio-Economic Planning Secretary

Algebra Made Easy as Arithmetic

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Dedication
Advance Praise
Acknowledgment
About MATH-Inic
Foreword
Preface

Part l:   Some Important Arithmetic Shortcuts
Chapter 1 :   Digit Sum   2
Chapter 2:   Using Digits Sums to Check Arithmetic Computations   4
   2.1: Checking Addition by Digit Sums   4
   2.2: Checking Subtraction by Digit Sums   5
   2.3: Checking Multiplication by Digit Sums   6
Chapter 3:   The First by the First and the Last by the Last   7
Chapter 4:   Multiplying by 11, 12, and 13   9
   4.1: Multiplying by 11   9
   4.2: Multiplying by 12 and 13   12
Chapter 5:   Multiplying by 9, 8, and 7   14
   5.1: Multiplying by 9   14
   5.2: Multiplying by 8 and 7   15
Chapter 6:   Dividing by 9, 8, and 7   18
   6.1: Dividing by 9   18
   6.2: Dividing by 8 and 7   21
Chapter 7:   Dividing by 1 1, 12, and 13   23
   7.1: Dividing by 1 1   23
   7.2: Dividing by 12 and 13   24
Chapter 8:   Vertically and Crosswise:   25
   Left-to-Right Two-Digit By Two-Digit Multiplication   25
   8.1: Two-Digit by Two-Digit Multiplication Without Regrouping   25
   8.2: Two-Digit by Two-Digit Multiplication With Regrouping   26
Chapter 9:   Vertically and Crosswise: Longer Multipliers   27
   9.1: Three-Digit by Three-Digit Multiplication   27
   9.2: Four-Digit by Four-Digit Multiplication   28
Chapter 10:   Vertically and Crosswise: Sliding Multiplier   29
Chapter 11 :   Vertically and Crosswise: Working with Fractions   31
   11 .1 : Comparing Fractions   31
   11.2: Adding and Subtracting Dissimilar Fractions   33
Part Il:   Solving Linear Equations   35
Chapter 12:   "Think of a Number": One-Step Solution   38
Chapter 13:   "Think of a Number": Two-Step Solution   41
Chapter 14:   "Think of a Number": Three-Step Solution   43
Chapter 15:   Solution of Equations with Two Variable Terms Type l: CIX + cx+ d   45
Chapter 16:   Solution of Equations with Two Variable Terms: Type Il: x/a + x/b = c   47
Chapter 17:   Solution of Simultaneous Equations: By Substitution   49
Chapter 18:   Solution of Simultaneous Equations: By Addition and By Subtraction   51
Chapter 19:   Solution of Simultaneous Equations: x and y Coefficients Interchanged   53
Part Ill.   Some Algebraic Multiplication and
   Division Techniques   54
Chapter 20:   The First by the First and the Last by the Last   55
Chapter 21:   The Product of the Sum is the Sum of the Products   57
Chapter 22:   Algebraic Multiplication: Binomials   59
Chapter 23:   Algebraic Multiplication: Trinomials and Longer Polynomials   60
Chapter 24:   Multiplying Polynomials of Unequal Length: Sliding Multiplier   62
Chapter 25:   Special Multiplication: Multiplying by ( x + 1 )   64
Chapter 26:   Special Multiplication: Multiplying by (x — 1 )   68
Chapter 27:   Special Division by (x— 1)   71
Chapter 28:   Special Division by ( x + 1)   73
Chapter 29:   Special Division by ( x ± a)   75
Part IV:    Solving Quadratic Equations   77
Chapter 30:   Reversing DPMA: The First Step in Factoring   78
Chapter 31:   Factoring when A = 1   80
Chapter 32:   The AC Method of Factoring   83
Chapter 33:   Tirthaii's Method of Factoring   86
Chapter 34:   Special Cases: When One Factor is   89
Chapter 35:   Using the Sum of Coefficients   94
Chapter 36:   Using the Discriminant   99
Chapter 37:   The Differential is Equal to the Square Root of the Discriminant   101

Making Math Easier: Notes to Students, Parents, and Teachers
Answer Key
About Vedic Math
About the Author

Description

Algebra Made Easy as Arithmetic demonstrates how the application of some basic arithmetic procedures can greatly simplify many algebraic operations. It also shows that there are other approaches to algebraic solutions which some students may find simpler to use.

This excellent book from Virgilio “Ike” Prudente is a welcome and much needed addition to the Vedic Maths literature and will undoubtedly be a great help to all those who wish to expand and enrich their knowledge of Mathematics. – Kenneth R. Williams, Founder, Vedic Maths Academy (UK)

MATH-Inic mixed with practice would make anyone fall in love with Algebra. I wish I had this when I was a kid – it really makes Algebra as easy as Arithmetic – Giovanni Tapang, Ph. D., Dean, College of Science, University of the Philippines - Diliman

Algebra Made Easy Arithmetic is a terrific book that offers something for everyone…I can recommend this book to all Algebra students and their teachers as well. – Dr. Annette Lagman, UP System IT Consultant and former Math and Computer Science Professor, James Madison University and Effat University

In general, it is a good resource for teachers specially for coaches of learners who join different Math competitions. This book can also help regular teachers to show their learners that Math is not hard to understand and learn. The book can really improve the performance of the learners specially in Algebra. – Dr. Severa Salamat, EPS Mathematics, Division of Sta. Rosa City

Inspirational Maths from India

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Chapter 1   Subtraction using All from 9 and the last from 10   11
Chapter 2   Strategies (Special Case Multiplication)   17
Chapter 3   Multiplication using a Base - 1   22
Chapter 4   Base Division   30
Chapter 5   Divisibility   34
Chapter 6   Simple Proportion — Doubling and Halving   41
Chapter 7   Vertically and Crosswise Multiplication - 1   47
Chapter 8   Digital Roots   52
Chapter 9   Numbers in Nature   59
Chapter 10   Mathematical Models   63
Chapter 11   Multiplication using a Base - 2   74
Chapter 12    Vertically and Crosswise Multiplication - 2   82
Chapter 13    Squaring   85
Chapter 14    Completing the Whole   94
Chapter 15    Addition and Subtraction of Dissimilar Fractions   100
Chapter 16    Cubes, Cube Roots and Binomial Theorem   104
Chapter 17    Algebraic Division and Power Series   109
Chapter 18    Recurring Decimals   113
Chapter 19    Using the Sum of the Coefficients in Factoring Polynomials   124
Chapter 20    Checking Arithmetic and Algebraic Calculations   130

Description

The growing worldwide interest in Vedic mathematics, and the current surge in enthusiasm to have the system taught in schools, has prompted the IAVM to produce this teacher’s handbook. Inspirational Maths from India provides an introduction to Vedic Mathematics. It is divided into two sections, the first for primary teachers and the second for secondary of high school teachers. In each chapter you will find worked examples, where each step is carefully explained, explanations of how the methods work and practice exercises for you to gain ‘hands-on’ experience and so achieve familiarity.

Vedic Maths is concerned with a universal structure of mathematics revealed through a personal approach to problem-solving and other fields of human activity. There are sixteen sutras and a similar number of sub-sutras and these succinctly express naturally occurring mental processes by which mathematical problems can be solved with the least effort.

Vedic Maths does not advocate sole use of blanket methods through which students can reduce problems to merely mechanical responses to given stimuli. Instead, it encourages an intelligent and holistic approach - one that engenders reason and develops strategic thinking. There are general methods as well as special case methods. If you find a problem can be solved by an easier or different method from what is commonly taught then that is used as a valid method, even if the problem is solved just by inspection.

Vedic Mathematics: Success Mantras to excel in Mathematics

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Description

This book is useful for students of any age/grade:
If you want to speed up your calculations and score high especially in competitive exams.
Do maths with ease and love to pursue maths.
Parents who want to support especially those who do homeschooling of their children & Teachers who want to make maths classes interesting.
Musicians compose great music with few notes, like that with few sutras of Vedic mathematics you can solve tedious problems too.
You can read and learn this book like you read and enjoy a story book.

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