There are 5 sections to the following Notes on this book:
There are 5 sections to the following Notes on this book:
1 - About Book 1: DIGITAL SUMS
from the 4 Book Series: JAIN MATHEMAGICS CURRICULUM FOR THE GLOBAL SCHOOL.
2 - BACK COVER BLURB
3 - CONTENTS
4 - 9 SAMPLE PAGES
5 - KEYWORDS, SEARCH ENGINES
Front Cover
1 -
About Book 1: DIGITAL SUMS
from the 4 Book Series:
JAIN MATHEMAGICS CURRICULUM FOR THE GLOBAL SCHOOL.
This book contains 152 photocopied pages, is hand-written, highly
illustrated, the book is a golden rectangle but fitted or orientated to
A4 landscape , and wire bound. $50
Self Published in 2001 First Edition
ISBN: 0 9594180-8-3
This book was formerly known as:
"The Vedic Mathematics Curriculum For The Global School" but the title
no longer applies as "Jain Mathemagics" is wider in its spectrum and
more highly visual than the limitation of just analytical "Vedic
Mathematics".
This book is everything possible on manipulating multi digits to single
digits. This is the essence of 1 of 16 Vedic Sutras that means "Digital
Sums" or Digital Compression. Physicists know that if there is a problem
to be solved, that compression is the answer
eg: if a computer has too
much data and it needs to be stored economically or sent efficiently, it
can be solved by digital compression.
A numerical example is, to multiply 33 by 11.
We add the digits of 33 which is 3 + 3 which is 6 and insert this
between the two threes, giving the instantaneous answer of 363.
Thus,
25 x 11 = 2 (2 + 5) 5 = 275. Its that easy.
There is a whole chapter on Multiplication by 11 and set out with
questions and answers in the back. This is the essence of Jain
Mathematics, that it can be done mentally, via pattern recognition, or
it can be done by one single line of intelligent arithmetic.
Chapter 1 is about "
How Do I Start Teaching My Child The First Principles Of Vedic Mathematics?"
In Chapter 3 there is an in-depth study of Universal Number Series like
the Triangular Numbers and Pascal's Triangle which was really
Halayudha's Triangle (a Vedic Jaina Mathematician from the C3rd BC).
Of great interest is the Digital Compression of the Divine Proportion
based on the Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,
144 etc and reducing them to single digits to discover eternal and
internal patterning dealt with in full in: "The Book Of Phi" Volumes 1
and 2.
This is a great workbook for children 12 years and older. It will vastly
improve the student's memory skills, increase their mental agility and
boost self-confidence.
The
4 Books in this Series are:
Book 1: "DIGITAL SUMS" was published in 2001. There is no other book
like this, its the first of its kind. The application of Digital
Compression linked to Jain's extraordinary ability and insight to
Translate Number Into ART, has been coined the 17th Sutra. Jain plans
to publish another whole compendium on this topic, accompanied by 2
dvds, just on this topic, called "
THE ART OF NUMBER".
Book 2: RAPID MENTAL CALCULATION -MULTIPLICATION was published in 2005.
It deals with many aspects of Multiplication and it is currently very
popular and used in my workshops with children and adults. The sutras or
formulae taught are smart, simple and brilliant.
Book 3: MULTIPLICATION @ THE SPEED OF THOUGHT will also be more on
Multiplication, (was meant to be published in 2007, after Book 2, but
was only published now in 2011 due to a sudden demand from locally
tutored students in the Byron Bay shire of far North NSW who wanted
immediate workbooks for their studies after school, inspired Jain to
make two sets of workbooks which constituted Book 4, also published in
2011)
Book 4: RAPID MENTAL CALCULATION FOR TEENS AND ADULTS WORKBOOK: LEVEL
ONE: was published in 2001. This is a summary of all the previous
material but targetted for Teenagers. Lots of space inside the book for
working out the One-Line Answers. Level 1 is Introductory for teens from
13 to 16 years old.
Book 4: RAPID MENTAL CALCULATION FOR TEENS AND ADULTS WORKBOOK: LEVEL
TWO: was published in 2001.This is a summary of all the previous
material but targetted for Teenagers. Lots of space inside the book for
working out the One-Line Answers. Level 2 carries on from where Level 1
finished and is more advanced for teens from 16 to 18 years old.
2 - BACK COVER BLURB
(The information in the above scanned image is reprinted clearly below):
This book, the first of a 4 Book Series, is designed to enhance the
present mathematical curriculum, and in some cases, replace tedious or
out-moded procedures, bringing joy into this often abhorred subject.
Jain is at the vanguard of advocating mathematical change and
reform. The presentation of these timeless number codes, expressed as
"Digit Sums" are part of our genetic memory. It is the Right Brain or
Feminine Hemisphere Mathematics that sees or intuits the shape or
artistic pattern of the predicted answer.
In this dance of numbers, the dancer will feel inter-connected with
all branches of knowledge and thus also become a recipient to Higher
Knowledge. In this way, the Parent can effectively teach their Child (7
years and onward) the pure first principles of Vedic Mathematics.
Discover how the Vedic Square, via Digital Sums, reveals Atomic Structures!
Vedic Mathematics is based on 16 Sutras or word-formulae that were
reconstructed by Sri Bharati Krsna Tirthaji, 1884-1960, during an 8 year
forest retreat.
By definition, this universal system is described as Mental, One-Line
Arithmetic. It vastly improves memory skills, intuition, mental agility
and self-confidence.
If society continues to remain dependent upon calculators, for the
next 20 years, the Pineal Gland of the Global Brain will atrophy.
Become a Human Bio-Calculator!
Mathematics without tears.
It is time to end the suffering from a historical Mathematical Amnesia! Learn the real truth about subjects in mathematics that have been suppressed.
3 - CONTENTS
Foreword p7
Biography on Sri Bharati Krsna Tirthaji (1884-1960) p11
The 16 Vedic Mathematical Sutras and Sub-Sutras
CHAPTER ONE :
ODDS and EVENS + COMPLEMENTS p17
How do I start teaching my Child the first principles of Vedic
Mathematics p18
The Nature of Odd and Even Numbers p19
The Odd Number generating the Squared Numbers p22
The Odd Numbers generating the Cubed Numbers p23
Al-Arquan-Al-Hindu (Creation of 1,2,3)
Complements p25
CHAPTER TWO :
DIGIT SUMS p28
Digit Sums (Samuccaya) p29
Origin of the word "Calculate p31
Casting Out the Nines p33
Digit Sum Check : Gunita Samuccayah SamuccayaGunitah
p34
Multiplication by Eleven p35
CHAPTER THREE : UNIVERSAL NUMBER SERIES p39
D.S.S.P (Digit Sum Series Pattern) for the Numbers from 1 - 10 cubed
p40
D.S.S.P for The Triangular Numbers p41
Chart of The Squares p42
Pyramid of Ones p43
D.S.S.P for the Squared Number and The Last Digits of the Squared
Nos p44
D.S.S.P for The Magic Square Constants p45
D.S.S.P for The Natural Squares p46
D.S.S.P for the Fibonacci Sequence p47
D.S.S.P for A Pyramid of Threes p48
D.S.S.P for Pascals / Halayudhas Triangle p49
The Parable of Sessas Chess-Board (as Powers of 2) p50
Pascals / Halayudhas Triangle as Powers of Eleven p52
How To Create The Vedic Square p53
Atomic Structure of Rutile p54
Atomic structure of Platinum Crystal p56
Divisibility by 3 and 6 p60
Divisibility by 4 ("the Ultimate and Twice The Penultimate" Sutra)
p61
The Rows of the Vedic Squares D.S.S.P plotted upon the 9-Point
Circle p62
CHAPTER FOUR : EKADHIKA and 1/19 p67
"By one More Than The One Before" Sutra ("Ekadhika Purvena")
p68
Exposition on 1/19 p70
CHAPTER FIVE : ADDITION AND SUBTRACTION
Ambidexterity p75
Sub-Sutra: "The Product of the Digit Sum is Equal to the
Digit Sum
of the Product" p77
Sutra: "By The completion or Non-Completion" p79
Sub-Sutra : "On the Flag" (Dvajanka) p80
How to Subtract from both Directions : Ambidexterity p82
Sutra : "By Addition and Subtraction" p84
How to Multiply by 9 by Digital Subtraction p86
APPENDIX p88
Special Division by 9 p88
"Buddha Knows Maths" p89
Magic Square of 5 x 5 reduced to its Digit Sums p90
ANSWERS p93
BIBLIOGRAPHY p103
ACKNOWLEDGMENTS p104
Extra Notes p111
History from Bhagavad Gita p124
Origin of Zero p130
