FUN WITH FIGURES (subtitled: Is it Maths or Magic?)
Details
Author: K. Williams, 1998. Paperback, 52 pages, size A6.
ISBN 1 902517 01 6.
Currently only available as an ebook:
http://www.funwithfigures.com/
This book is currently unavailable, however one of the tutorials is based on this book, see here.
Contents
8 AMAZE YOUR FRIENDS
10 IN THE SHOP
12 TABLES MAGIC
14 AT A PARTY
16 EXERCISE YOUR BRAIN CELLS
18 SHOW YOUR CLASS
20 ON A WALK
22 AT THE OFFICE
24 ON THE MOTORWAY
26 THE NINE-POINT CIRCLE
28 IN YOUR MATHS LESSON
30 CHECK YOUR BILL
32 CHECK YOUR CHANGE
34 IN THE DIY SHOP
36 HAVE A BREAK
38 AT THE POST OFFICE
40 IMPRESS YOUR PARENTS
42 DELIGHT YOUR CHILD
44 IMPROVE YOUR MIND
46 ON THE TRAIN
48 ANSWERS
52 RELATED BOOKS
Description
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.
One of the tutorials is based on this book, see here.
How to Really Calculate in your Head
Details
Author: K. Williams, 2013. 113 pages.
Format: Kindle Edition
http://www.amazon.com/How-Really-Calculate-Your-Head-ebook/dp/B00DHLK5VI
Contents
Introduction
Numbers
Multiples of 10
Subtraction
Introduction to 2-Figure Numbers
Adding 2-Figure Numbers with Carry
Adding Near a Base
Subtracting Near a Base
Doubling
Divide by Halving
Adding Several Numbers
Odd and Even Numbers
Multiples
Common Multiples
Completing the Whole
The Number Line
Multiplying by 4 and 8
Halving and repeated Halving
All from 9 and the Last from 10
All from 9 . . . Part Two
Extending your Multiplication Tables
Description
This simple guide from veteran math teacher Kenneth Williams will introduce you to twenty easy methods you can use to calculate in your head today.The methods are perfect for beginners and improvers. Each lesson takes only a few minutes to complete. And with the fun quizzes along the way, you will prove to yourself how easy it is to calculate in your head - without a calculator.
Algebra for the Terrified
Details
Author: K. Williams, 2013. 180 pages.
Format: Kindle Edition
Currently only available as an ebook:
http://www.amazon.co.uk/Algebra-For-Terrified-Kenneth-Williams-ebook/dp/B00HBVQARI
Contents
Introduction
Algebra Basics
Subtraction
Multiplication
Division
Formulas
Equations
Proportion
Introduction to Word Problems
Description
Algebra for the Terrified teaches you algebra in tiny bite-sized pieces. This hands-on guide walks you through the algebra landscape, from beginnings to binomials.
Use this fun guide to teach yourself essential basic algebra or to help your child learn and enjoy algebra.
This book doesn't just give you the rules of algebra, it lets you solve algebra problems right from the start. This practical approach lets you prove to yourself you can do this thing called algebra.
Follow this detailed system for learning algebra, and make sure you don't have any dangerous gaps in your knowledge. This guide follows a simple 3-step process throughout:
1. Understand one tiny technique, with the aid of clear examples
2. Take the quiz
3. Check your answers
Each chapter gives you many mini-lessons, so you pick up algebra in easy stages. You learn algebra as you go through the book.
Modern Approach to Speed Math Secret - Key to Master Speed Mathemagic
Details
Author: Vitthal Jadhav
Format: Kindle Edition
File Size: 7220 KB
Print Length: 380 pages
Publisher: Vitthal B. Jadhav; Edition 1 edition (28 May 2013)
Sold by: Amazon Digital Services, Inc.
Language: English
ASIN: B00D2UE1AA
Available as an e-book at Amazon (cost $4):
Amazon US Link
Amazon India Link
Some associated slide shares for this book
Also see: http://www.youtube.com/watch?v=b3PFjsUgULM&feature=youtu.be
Contents
Content
Foreword by Mathematician Kenneth R. Williams Vii
1. Inter Base Conversion Method 1
Multiplication / Division by 10n 13
Multiplication / Division by factor of 10n 15
Square of number ending with 5n 18
Splitting Principle 20
2. Monodigit Number 25
3. Faster division by 10n − 1 or monodigit number 49
4. Vertically Crosswise Multiplication Method 54
5. Global Number System 66
6. Ripple operator 82
7. Derivation of Trachtenberg Formulae to Multiply
any Number with 3-12 89
8. Square of number close to 10n having tens digit
as x=7, 8 or 9 97
9. Square, Square Root and Cube of Specific Number 98
10. Recursive Square Method 102
11. Sliding Ruler Multiplication Method
( Unification of Vertically Crosswise and Trachtenberg
Multiplication Method ) 105
12. Duplex square made easy 114
13. Squaring and cubing of any number 117
14. Osculation based divisibility Test 121
15. Divisibility by 10n ± 1 and Its Application 129
16. Remainder Corollary 139
17. VJ’s Universal Divisibility Test 144
18. Divisibility Chart 160
19. Nth power of two digit number made easy 161
20. Novel Approach for Multinomial Expansion 171
21. Computing mth Root of n digit number 178
22. Magical Game 183
23. Calendar calculation made easy 204
24. Why 0.999...... =1 ? 209
25. Common Balance Puzzle 211
26. Shift Add Representation and its Application 214
27. VJ’s Multiplication Method 219
28. Arithmetic Checking 229
Remainder computation 230
Algebraic Simplification 234
29. Modified Quine-McCluskey Method
( For engineering student ) 235
30. VJ’s Matrix (Rectangular) Method
( One line method to compute nth root any number ) 243
31. Vedic Division Method 270
32. Golden Lemma and Golden Pattern 278
33. Fun with Recurring Decimal 308
34. Principle behind Proportionately Sutra 335
Global Number System (Slides) 339
Bibliography 380
SPEED MATHEMATICS USING THE VEDIC SYSTEM
Details
Author Vali Nasser, 2004.
Paperback: 116 pages
Product Dimensions: 9.0 x 6.0 x 0.3 inches
Publisher: Lulu Press, Inc.
ISBN: 141161061X
Contents
Introduction - 5
Chapter 1 - 7
Working with base 10 - 7
Summary of key Points - 9
Multiplying by 11 - 10
Multiplication of Numbers between 10 and 20 - 12
Chapter 2 - 15
Subtraction - 15
Chapter 3 - 19
Multiplying by 10,100 and 1000 - 19
Chapter 4 - 23
Working with base 20 - 23
Practise questions for working with base 20 - 25
General rule for multiplying 2 x 2 digits - 25
Base 100 and Base 50 Multipication - 29
Chapter 5 - 34
Special case (1) - 34
Special case (2) - 35
Chapter 6 - 37
Division - 37
Chapter 7 - 42
Fractions, decimal and percentage equivalents - 42
Chapter 8 - 47
Interesting Fractions - 47
Chapter 9 - 49
Number Sequences - 49
Chapter 10 - 54
Estimating - 54
Chapter 11 - 59
Multiplication revisited - 59
Chapter 12 - 63
general approach to 3 x 3 multiplicaiton - 63
Chapter 13 - 71
Fractions - 71
Adding and subtracting mixed numbers 73
Multiplying Fractions - 74
Division of Fractions - 75
Converting a mixed number to a fraction - 76
Multiplying a mixed number together - 77
Dividing mixed numbers togther - 78
Chapter 14 - 80
Proportions and ratios - 80
Chapter 15 - 82
Square Roots and Cube Roots - 82
Chapter 16 86
Introduction to Algebra - 86
Chapter 17 - 92
Algebraic Substitution - 92
Chapter 18 - 94
Simple Equations - 94
Chapter 19 - 99
Simultaneous Equations - 99
Description
Speed Mathematics using the Vedic system makes learning basic mathematics more rewarding. The average pupil will be able to work out calculations such as 46X44, 95X95 and 116X114 mentally, often faster than a calculator. Pupils will understand how to work out squares,cubes, percentages,fractions,and equations with ease. Paper and pencil will still be required for most questions, but the speed and accuracy of calculations will improve significantly. This in turn motivates pupils to learn more. This book provides smart strategies for mastering basic Number work and Algebra. These two areas are the building blocks in mathematics. Once pupils can master these aspects they will feel confident to tackle other branches of mathematics. This book is suitable for children from 10 to 14 years of age, but adults who have found mathematics difficult in the past will also benefit from it.
The Power of Vedic Maths (For Admission Tests)
Details
Author: Atul Gupta
Paperback: 176 pages
Publisher: Jaico Publishing House - First edition (1 June 2004)
Language: English
ISBN-10: 8179923576
ISBN-13: 978-8179923573
Contents
Preface
1. Two Simple Techniques
2. Remainder on dividing a number by 9
3. Operations with 11
4. Multiplication (Nikhilam)
5. Multiplication (Urdhva Tiryak)
6. Division
7. Simple Squares
8. Square of any number
9. Square root of a number
10. Cubes and cube roots
11. Auxiliary fractions
12. Mishrank or Vinculum
13. Simultaneous Equations
14. Osculators
15. Applications of Vedic maths
The Vedic Math Workbook - I: Speed multiplication of single digit, double digit and triple digit numbers: Volume 1
Details
Authr: Shekhar Scindia
Paperback: 26 pages
Publisher: CreateSpace Independent Publishing Platform (15 Aug 2009)
Language: English
ISBN-10: 144868403X
ISBN-13: 978-1448684038
Contents
1. Single digit multiplication not requiring carry over 5
2. Single digit multiplication requiring carry over 6
3. Practice problems - Single digit multiplication 7
4. Double digit multiplication not requiring carry over 9
5. Double digit multiplication requiring carry over 10
6. Practice problems -Double digit multiplication 12
7. Triple digit multiplication 16
8. Triple digit multiplication - 2nd example 18
8.. Practice problems - Triple digit multiplication 20
9. Answers to practice problems - Single digit multiplication 23
10. Answers to practice problems - Double digit multiplication 24
11. Answers to practice problems - Triple digit multiplication 25
Vedic Math Demystified : Math Made Simple
Details
Author Pankaj Sharma, Neetu Sharma
Paperback: 206 pages
Publisher: CreateSpace Independent Publishing Platform (12 April 2012)
ISBN-10: 1475086431
ISBN-13: 978-1475086430
Contents
Insight 8
Chapter 1 15
Basics of Number system 15
Complements of a number 17
Digital Sum 19
Addition of large numbers 23
Vinculums or Bar Numbers 33
Subtraction 37
Chapter 2 41
Mukltiplication of numbers near a base 41
Proportionately 47
Multiplication by 11 50
The Numbers of 9's- 99,999,9999,99999... 53
Mutiplying numbers where the bases are different 59
Vertically and Crosswise Method 61
Multiplication of 3 Numbers 68
Chapter 3 71
Divisibilty 71
Chapter 4 86
Division 86
Dvision 86
Basics 86
Division by Nine (short Cut) 102
Division by 8 104
Division by 11,12,13 etc 105
Chapter 5 108
Squares 108
Square Root 125
Chapter 6 138
Cubes 138
Chapter 7 146
Cube Root 146
Chapter 8 154
Fractions and Recurring Decimals 154
HCF and LCM 168
ratio and Proportion 174
Chapter 9 179
Quantitative Aptitude 179
Practice Questions 188
Description
This Book presents techniques taken from ancient Vedic system that help to do calculations much faster than most of the well known techniques that we learn in high-school. According to the author, the book is helpful for students in school as well as for those planning to appear in competitive exams such as SAT, GMAT, CAT, NTSE, Olympiad and other competitive examinations, as the described techniques develop creativity and math skills. In addition, a variety of problems are solved in the book using the Vedic math techniques just to demonstrate the usefulness of this ancient art.
Vedic Mathematics for All Ages: A Beginners' Guide
Details
Vandana Singhal, 2007
ISBN 978-81-208-3230-5
Published by Motilal Banarsidass
Contents
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 Made Easy
Details
Paperback: 230 pages
Publisher: Jaico Publishing House (15 July 2006)
Language: English
ISBN-10: 8179924076
ISBN-13: 978-8179924075
Product Dimensions: 21.6 x 13.8 x 1.2 cm
Author: Dhaval Bathia,
Amazon Kindle UK Link
Amazon Kindle US Link
Amazon Kindle India Link
Contents
Preface xi
Acknowledgements xvii
About the Author xix
Vedic Mathematics: An Introduction xxi
Maths is Interesting! 1
BASIC LEVEL
1. Miscellaneous Simple Method 11
2. Criss - Cross System of Multiplication 33
3. Squaring Numbers 48
4. Cube Roots of Perfect Cubes 55
5. Square Roots of Perfect Squares 66
INTERMEDIATE LEVEL
6. Base Method for Multiplication 79
7. Base Method for Squaring 102
8. Digit-Sum Method 108
9. Magic Squares 118
10. Dates & Calendars 130
11. General Equations 143
12. Simultaneous Linear Equations 146
ADVANCE LEVEL
13. Square Roots of Imperfect Squares 157
14. Cubing Numbers 170
15. Base Method Division 181
16. Division (part Two) 194
Afterword 203
Appdenicies 205
Appendix A: Multiplication of five digit numbers
Appendix B: Multiplication of Algebraic Identities
Appendix C: Zeller's Rule (To fin the day on any date)
Appendix D: Pythagorean Values
Appendix E: Divisibility Tests
Appendix F: Raising to fourth and higher powers
Appendix G: Co-ordinate Geometry
Answers 219
Freqently asked questions (FAQ's) 224
Bibliography 227
Description
Vedic Mathematics, Fast Mathematics, Vedic Arithmetics, Algebra, Trignometry, Quick Tips to Solve Mathematics problems
A simplified approach for beginners, can you multiply 231072 by 110649 and get the answer in just a single line? Can you find the cube root of 262144 or 704969 in two seconds? Can you predict the birth date of a person without him telling you? Can you predict how much money a person has without him telling you? Can you check the final answer without solving the question? Or, in a special case, get the final answer without looking at the question? Can you solve squares, square roots, cube roots and other problems mentally? All this and a lot more is possible with the techniques of Vedic Mathematics described in this book. The techniques are useful for students, professionals and businessmen. The techniques of Vedic Mathematics have helped millions of students all over the world get rid of their fear of numbers and improve their scores in quantitative subjects. Primary and secondary school students have found the Vedic mathematics approach very exciting. Those giving competitive exams like MBA, MCA, CET, UPSC, GRE, GMAT etc. have asserted that Vedic Mathematics has helped them crack the entrance tests of these exams.
Details
Author: Vali Nasser
Paperback: 96 pages
Publisher: Lulu.com (13 April 2008)
Language: English
ISBN-10: 1435716043
ISBN-13: 978-1435716049
Contents
Chapter 1
Multiplying by 11 and 11 quickly
Chapter 2
A quick method to multiply by 9's
Chapter 3
This trick shows how you can square numbers between 1 & 19 with ease
Chapter 4
Subtract double-digit numbers with speed
Chapter 5
Subtract from numbers such as 1000,2000,3000 and more quickly
Chapter 6
the difference of two squares
Chapter 7
An Elegant method of sqauring numbers ending in 5
Chapter 8
Multiplication when all the digitis before the last digit are the same
the last digitis add up to 10 - This is an extension of the previous method
Chapter 9
Use Duplexes to find squares of any two-digit numbers
Chapter 10
Use Duplexes to the square of any 3-digit number
Chapter 11
Remember Pi to 6 and 18 decimal places
Chapter 12
Kilometes and Miles
Chapter 13
Divisibility by 9 & 11
Chapter 14
Fast method of Multiplying and Dividing by 10, 100 and 1000
Chapter 15
A smart rule for Multiplying 2 x 2 digits
Working with Base 100 and Base 50 multiplication
Chapter 16
Multiplying any number by 12 - a shortcut method
Chapter 17
Multiplying any number by 12 - a shortcut method
Chapter 18
Quick way of dividing by 2, 4 and 8
Chapter 19
A smart way to divide by 9
Chapter 20
Dividing by 11
Chapter 21
Converting recurring decimals into fractions
Chapter 22
Estimating
Chapter 23
Working out significant Figures (s.f.)
Chapter 24
Standard Index Form
Chapter 25
Multiplication revisited
Chapter 26
general approach to 3 x 3 multiplication
Chapter 27
Add subtract fractions quickly
Chapter 28
Adding and subtracting mixed numbers
Chapter 29
Multiplying fractions
Chapter 30
Division of fractions
Chapter 31
Converting a mixed number to a fraction
Chapter 32
Multiplying mixed numbers together
Chapter 33
Dividing mixed numbers together
Chapter 34
Finding the nth term of common sequences
Chapter 35
Sqaure roots
Chapter 36
Cube and cube roots
Chapter 37
proportions and Rations
Chapter 38
Positive and negative numbers
Adding and subtracting
Chapter 39
Multiplying positive and negative numbers
Chapter 40
Rules concerning operation of numbers
Chapter 41
Solve simultaneous equations with ease
Chapter 42
Trigonometry
Chapter 43
Basic Statistics
Chapter 44
Quickly work out percentages
Chapter 45
Multiplying out brackets
Chapter 46
using Duplexes to work out the aquare of a two term algebraic expression
Chapter 47
Factorising quadratic expressions
Chapter 48
The formula method of solving quadratic equations
Chapter 49
Manipulating Indices/Exponents with ease
Chapter 50
Recurring percantage change
Description
The author’s first book ‘Speed Mathematics Using the Vedic System’ has gained a significant following.
This sequel ’Mathematics Tricks using the Vedic System’ has more tricks that will prove useful for middle, high School(grades 10 & 11) and college students.
For high school students the following topics in Speed Mathematics will prove useful:
Factorising/factoring, indices/exponents, simultaneous equations,quadratic equations and trigonometry. The same set of students will find duplex methods of squaring 2 & 3-digit numbers, expanding algebraic expressions,finding square roots,cube roots and solving problems involving repetitive percentage change also useful. In addition some topics in statistics are included.
Several mnemonics are also included to help the younger student remember pi, basic trig as well as understand the differences between mean, median, mode and range.
Hopefully, teachers will see the value of these techniques in order to motivate their students.
