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| ## CURRICULUM Vol 1 - DIGITAL COMPRESSION
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There are 5 sections to the following Notes on this book:
1 - About Book 1: DIGITAL COMPRESSION
from the 6 Volume Series: JAIN MATHEMAGICS CURRICULUM FOR THE GLOBAL SCHOOL. 2 - BACK COVER BLURB 3 - CONTENTS 4 - 9 SAMPLE PAGES 5 - KEYWORDS, SEARCH ENGINES New Front Cover
(thanks to Aurel of www.luminaya.com for photoshopping these covers)
Old Front Cover 1 - About Book 1: DIGITAL COMPRESSION from the 6 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 6 Volumes in this Series are: Vol 1: "DIGITAL SUMS" (its former name, now replaced by "DIGITAL COMPRESSION" 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". Vol 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. Vol 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 Vol 4, also published in 2011). Vol 4: MAGIC OF NINE is a treasure trove of rare knowledge based on the ubiquitous Number 9 that underpins the fabric of all creation. A fascinating collection of references old and new.
Vol 5: 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. Vol 6: 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 New Front Cover
(The information in the above scanned image is reprinted clearly below): This book, the first of a 6 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 4 - 9 SAMPLE PAGES from: Book 1: DIGITAL SUMS from the 4 Book Series: JAIN MATHEMAGICS CURRICULUM FOR THE GLOBAL SCHOOL.
Chapter title, showing the tiling of
the Indian Shri Yantra or Shri Chakra that has 9 interlacing triangles, but
really they are meant to be view as 9 interpenetrating pyramids.
The Odd Numbers generating the Cubic Numbers. This represents Mathematics as the supreme Language of Pattern Recognition. Chapter 3 is my favourite section of this book, as it contains the cream of the best possible sequences known to us. It has been my passion to put this book together, and I believe I am the first person ever to publish such a book like this specifically on the Digital Sums of the most important sequences. The Pyramid Of Ones, digitally compressed reveals the Sequence of Squared Numbers! This is the Language of Shape. This is a worksheet that reveals the 24 Repeating Pattern hidden in the Fibonacci Sequence whose total sum is 108. This is the first ever published worksheet that invites a student to discover this pattern for themselves, via the supreme art of digital compression. Pascal's Triangle is a Mathematical Gem, worth researching and learning about. The Multiplication Table, that we all know, when digitally compressed, reveals the secret of Atomic Art. This photo of Platinum Crystal, was the first photo of the atom ever taken in the 1950s (courtesy of the Future Science Foundation headed by JJ Hurtak and Desiree; see their classic book "The Keys Of Enoch"). All The Pairs Of 9 that exist in the Multiplication Table are exotic patterns that have existed for millennia. For this reason, this amazing body of work belongs to no culture, is not Vedic, but Universal. This is the all the Number 9s interlinked or joined in the Visual Multiplication Table. It is one pattern that I have hand-drawn 4 times to create this Illusion of Perspective. 5 - KEYWORDS, SEARCH ENGINES Jain 108, mathematics for children, vedic mathematics, one line arthimetic, teach maths, digital sums, Vedic mathematics, advanced mathematics, sacred geometry, indian sutra, brain exercises, solving mathematical problems, one line arithmetic, Maharishi Mahesh Yogi, Paramahansa Yogananda, magic square of 9x9, f.r.e.e.d.o.m.s., Bharati Krsna Tirthaji, fraction, 1/19, one on nineteen, western mathematics, sanskrit, special division, multiplication, mental, al-arquan al hindu, arabic numerals, prayer for reconnecting the human bio-circuitry, atomic art, law of the squares, duplex, 9 times table, multiplication table, dwandwa yoga, logarithms, urdhva tiryak, fraction 1/89, one on eighty-nine, complements, fibonacci sequence, base 12 system, fraction 1/81, fraction one on eighty-one, squaring of numbers, vertically and crosswise, pi, vedic numerical code, krishna, shri yantra, enneagon, polygon, essene magic square of 9, vedic square, platinum crystal, rutile, mathemagics, school show, jain, magic cube of 9x9x9, magic star of 9, the complements of nine, phi code, period of 24, recurring decimal, circulating decimal, prime numbers, sub sutras, all from 9 and the last from 10, shankara, JAIN MATHEMAGICS CURRICULUM FOR THE GLOBAL SCHOOL, The Vedic Mathematics Curriculum For The Global School, Halayudha's Triangle, Digital Compression, Fractions, Calculus, Square Roots, genetic memory, electronic calculator, casting out the nines, universal number series, triangular numbers, pyramid of ones, Sessa's chess board, Powers of Eleven, divisibility by 3, penultimate, ekadhika, ambidexterity, By One More, On the flag, addition and subtraction, buddha, magic square of 5x5, akashic records, remembering, odds and even numbers, anu, sri yantra, abacus, abaci, nine point circle, multiplication by eleven, palindromes, periodicity, constants, squared numbers, natural squares, octahedron, platonic solids, pythagoras, fractal art, vilokanam, cube roots, parable of dividing the elephants, Shakuntala Devi, The Joy of Numbers, Figuring, Bhagavad Gita, Manu, vimana aircraft, origin of zero, the universal one, torus, decagon, dna, 007, | |

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