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Kenneth Williams

Vedic Math Teachers Manual 1 Beginner

Vedic Math Teachers Manual 1 Beginner

Volume 2, Intermediate

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16 LESSONS

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16 LESSONS

Subtitle:Volume 2, Intermediate

Content:"

PREFACE

LESSON 1 BASIC DEVICES
Introduction
Digit Sums
Left to Right
Addition
Multiplication
Advantages of left to Right Calcn
Writing Left to Right Sums
Checking Devices
Subtraction
Subtraction from Left to Right
Checking Subtraction Sums

LESSON 2 MORE BASIC DEVICES
Number Splitting
Addition 14 / Subtraction
Multiplication 16 / Division
All from 9 and the Last from 10
Subtraction from a Base
Calculations Involving Money
First Extension
Second Extension
Combining the Extensions
Bar Numbers
Advantages of Bar Numbers
General Subtraction

LESSON 3 SPECIAL METHODS
Proportionately
Doubling and Halving
Extending the Multiplication Tables
Multiplying by 5, 50, 25
All from 9 and the Last from 10: Multiplication
Numbers just below 100
Geometrical Proof
Algebraic Proof
Other Bases
Numbers above the Base
One Number ABOVE and one below the Base
Proportionately
Multiplying Numbers near Different Bases
Squaring Numbers near a Base
Mental Calculations
Special methods

LESSON 4 BY ONE MORE THAN THE ONE BEFORE
Special Multiplications
Squaring Numbers that End in 5
A Variation
Multiplication Summary
Recurring Decimals
Denominator Ending in 9
Proof
A Short Cut
Proportionately
Longer Numerators

LESSON 5 AUXILIARY FRACTIONS
Auxiliary Fractions: First Type
Denominators Ending in 8, 7, 6
Auxiliary Fractions: Second Type
Denominators Ending in 1
Alternative Method
Denominators Ending in 2, 3, 4
Working 2, 3 etc. Figures at a Time

LESSON 6 VERTICALLY AND CROSSWISE
Fractions
Adding & Subtracting Fractions
Proof
A Simplification
Comparing Fractions
Multiplication and Division
General Multiplication
Revision
Multiplying 2-Figure Numbers
Explanation
Explanation of earlier special method
The Digit Sum Check
Multiplying 3-Figure Numbers
Moving Multiplier
Algebraic Multiplications
The Digit Sum Check
Three-Figure Numbers
Four-Figure Numbers
Writing Left to Right Sums
From Right to Left
Setting the sums out
Using Bar Numbers

LESSON 7 SQUARES AND SQUARE ROOTS
General Squaring
Two-Figure Numbers
Number Splitting
Algebraic Squaring
Squaring Longer Numbers
Written Calculations – Left to Right
Written Calculations – Right to Left
Square Roots of Perfect Squares

LESSON 8 SPECIAL MULTIPLICATION METHODS
Special Numbers
Repeating Numbers
Proportionately
Disguises
Using the Average
PROOF
Multiplication by Nines
Multiplication by 11
Percentages
Increasing
Reducing

LESSON 9 TRIPLES
Definitions
Triples for 45°, 30° and 60°
Triple Addition
Double Angle
Variations of 3,4,5
Quadrant Angles
Rotations

LESSON 10 SPECIAL DIVISION
Division by Nine
Adding Digits
A Short Cut
Dividing by 8
Algebraic Division
Dividing by 11, 12 etc.
Larger Divisors
Divisor just Below a Base
A Simplification
Divisor just Above a Base
Proportionately

LESSON 11 STRAIGHT DIVISION
Single Figure on the Flag
Short Division Digression
Longer Numbers
Multiplication Reversed
Decimalising the Remainder
Negative Flag Digits
Larger Divisors
Algebraic Division

LESSON 12 EQUATIONS
Linear
One x Term
Two x Terms
Quadratic Equations
Simultaneous Equations
By Addition and By Subtraction
A Special Type
General Method
Another Special Type

LESSON 13 APPLICATIONS OF TRIPLES
Triple Subtraction
Triple Geometry
Angle Between Two Lines
Half Angle
Coordinate Geometry
Gradients
Circle Problems
Length of Perpendicular

LESSON 14 SQUARE ROOTS
Squaring
Square Root of a Perfect square
Preamble
Two-Figure Answer
Reversing Squaring
Three-Figure Answer
Reversing Squaring
General Roots
Changing the Divisor
Heuristic Proof

LESSON 15 DIVISIBILITY
Elementary Parts
The Ekadhika
Osculation
Explanation
Testing Longer Numbers
Other Divisors
The Negative Osculator

LESSON 16 COMBINED CALCULATIONS
Algebraic
Arithmetic
Pythagoras Theorem

SUTRAS AND SUB-SUTRAS

9-POINT CIRCLES

REFERENCES

INDEX OF THE VEDIC FORMULAE

INDEX
"

Date: 2003

Pages: 200

Binding: Hard Cover

Publisher: Motilal Banarsidass

Author: Kenneth Williams

ISBN:

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