Vedic Math Teachers Manual, Volume 3, Advanced.

Kenneth Williams

Published by Motilal Banarsidass, India, 2005

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Contents:PREFACE LESSON 1 LEFT TO RIGHT CALCULATIONS 1.1 INTRODUCTION 1.2ADDITION 1.3 MULTIPLICATION Advantages OF LEFT TO RIGHT CALCULATION 1.4WRITING LEFT TO RIGHT SUMS 1.5 SUBTRACTION 1.6 DIGIT SUMS 1.7 CHECKINGDEVICES CHECKING SUBTRACTION SUMS 1.8 ALL FROM 9 AND THE LAST FROM 10 1.8aSUBTRACTION FROM A BASE 1.8b BAR NUMBERS ADVANTAGES OF BAR NUMBERS 1.8cGENERAL SUBTRACTION LESSON 2 SPECIAL METHODS 2.1 MULTIPLICATION NEAR ABASE 2.1a Numbers just below the base 2.1.b Above the base 2.1c Above andbelow 2.1d Proportionately 2.1e With different bases 2.2 MENTALCALCULATIONS 2.3 SPECIAL NUMBERS 2.3a Repeating numbers 2.3bProportionately 2.3c Disguises 2.4 DIVISION BY NINE 2.4a Adding Digits2.4b A Short Cut 2.4c Dividing by 8 2.4d Algebraic Division 2.4e Dividingby 11, 12 etc. LESSON 3 RECURRING DECIMALS 3.1 DENOMINATOR ENDING IN 9 3.2A SHORT CUT 3.3 PROPORTIONATELY 3.4 LONGER NUMERATORS 3.5 DENOMINATORSENDING IN 8, 7, 6 3.6 DENOMINATORS ENDING IN 1 3.7 DENOMINATORS ENDING IN2, 3, 4 3.8 WORKING 2, 3 ETC. FIGURES AT A TIME LESSON 4 TRIPLES 4.1Definitions 4.2 Triples for 45°, 30° and 60° 4.3 Triple Addition 4.4Double Angle 4.5 Variations of 3,4,5 4.6 Quadrant Angles 4.7 RotationsLESSON 5 GENERAL MULTIPLICATION 5.1 TWO-Figure Numbers Explanation/ TheDigit Sum Check 5.2 Moving Multiplier 5.3 Algebraic PRODUCTS The Digit SumCheck 5.4 Three-Figure Numbers 5.5 Four-Figure Numbers 5.6 Writing Left toRight Sums 5.7 From Right to Left setting the sums out 5.8 Using BarNumbers LESSON 6 SOLUTION OF EQUATIONS 6.1 TRANSPOSE AND APPLY 6.1a SIMPLEEQUATIONS 6.1b MORE THAN ONE X TERM 6.2 SIMULTANEOUS EQUATIONS 6.2aGENERAL SOLUTION 6.2b Special Types 6.3 QUADRATIC EQUATIONS 6.4 ONE INRATIO THE OTHER ONE ZERO 6.5 MERGERS 6.6 WHEN THE SAMUCCAYA IS THE SAME ITIS ZERO 6.6a Samuccaya as a common factor 6.6b Samuccaya as the Product ofthe Independent Terms 6.6c Samuccaya as the Sum of the Denominators 6.6dSamuccaya as a Combination or Total Proof/ EXTENSION 6.6e other typeS 6.7THE ULTIMATE AND TWICE THE PENULTIMATE 6.8 ONLY THE LAST TERMS 6.9SUMMATION OF SERIES 6.10 FACTORISATION LESSON 7 SQUARES AND SQUARE ROOTS7.1 Squaring 2-FIGURE NUMBERS 7.2 Algebraic Squaring 7.3 Squaring LongerNumbers 7.4 Written Calculations 7.4a Left to Right 7.4b Right to Left 7.5Square Roots of Perfect Squares LESSON 8 APPLICATIONS OF TRIPLES 8.1Triple Subtraction 8.2 Triple Geometry 8.3 Angle Between Two Lines 8.4Half Angle 8.5 Coordinate Geometry 8.5a Gradients 8.5b Length ofPerpendicular 8.5c Circle Problems 8.5d EQUATION OF A LINE 8.6 COMPLEXNUMBERS CONTENTS LESSON 9 DIVISIBILITY 9.1 Elementary Parts 9.2 TheEkadhika 9.3 Osculation Explanation 9.4 Testing Longer Numbers 9.5 OtherDivisors 9.6 The Negative Osculator 9.7 OSCULATING WITH GROUPS OF DIGITSLESSON 10 STRAIGHT DIVISION 10.1 Single Figure on the Flag 10.2 ShortDivision Digression 10.3 Longer Numbers Multiplication Reversed 10.4Decimalising the Remainder 10.5 Negative Flag Digits 10.6 Larger Divisors10.7 ALGEBRAIC DIVISION LESSON 11 SQUARE ROOTS 11.1 Squaring 11.2 SquareRoot of a Perfect square 11.2a Preamble 11.2b Two-Figure Answer ReversingSquaring 11.2c Three-Figure Answer Reversing Squaring 11.3 General SquareRoots 11.4 Changing the Divisor Heuristic Proof 11.5 ALGEBRAIC SQUAREROOTS LESSON 12 TRIPLE TRIGONOMETRY 12.1 COMPOUND ANGLES 12.2 INVERSEFUNCTIONS 12.3 THE GENERAL TRIPLE 12.4 TRIGONOMETRIC EQUATIONS 12.4aSIMPLE EQUATIONS 12.4b A SPECIAL TYPE LESSON 13 COMBINED OPERATIONS 13.1Algebraic 13.2 Arithmetic 13.2a SUMS OF PRODUCTS 13.2b ADDITION ANDDIVISION 13.2c STRAIGHT DIVISION 13.2d MEAN AND MEAN DEVIATION 13.2eDIVIDING SUMS OF PRODUCTS 13,2f VARIANCE 13.3 Pythagoras Theorem LESSON14 SOLUTION OF POLYNOMIAL EQUATIONS 14.1 QUADRATIC EQUATIONS 14.1a x > 1PROOF 14.1b x 1 14.1e 1 < x < 0 14.1f x LARGE 14.2 HIGHER ORDER EQUATIONS14.2a CUBE ROOT 14.2b CUBIC EQUATIONS A SIMPLIFICATION A CUBIC WITH 0 < x<1 14.2c QUINTICS LESSON 15 CALCULUS METHODS 15.1 PartialF.

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Bibliographic Details

• Title: Vedic Math Teachers Manual, Volume 3, Advanced.
• Publisher: Motilal Banarsidass, India
• Publication Date: 2005
• Binding: Hardcover
• Edition: First Edition
• Condition: New
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