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Unique Key to Master
MODERN APPR
SPEED MATH SECRET
VITTHAL
to Master Speed Math
ODERN APPROACH
TO
PEED MATH SECRET
VITTHAL B. JADHAV
Math
ACH
PEED MATH SECRET
I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v
+ DVD containing 120 comprehensive interactive PPT
* Title of book and topics may change
Upcoming Research Book
* Modern Approach to Speed Math Secrets
(VJ’s Mathemagic)
By
VITTHAL B. JADHAV
* Innovative Content
1. Global number system
1) Golden Principle with proof
2) Application of Golden Principle
i) Addition ii) Subtraction iii) Multiplication iv) divisibility
v) Trachtenberg system vi) In computer science
2. Derivation of Trachtenberg formulae
3. Monodigit Number, Property , Significance (Full study)
4. N’th Power of number made easy
5. Magical Game
(Compute N’th root of any perfect n’th power instantly ! )
6. Inter Base Conversion Method
7. Universal Divisibility test
(Divisibility by any number)
8. Unification of Vertically Crosswise and Trachtenberg
Multiplication Method
(Concept helps to develop abacus like instrument !)
9. VJ’s Multiplication Method
10. Calendar calculation made easy
11. Remainder Computation made easy (Remainder Corollary)
12. Shift add representation and its application ( For Engineers )
13. Modified Queen-McCluskey Method (For engineers)
14. Osculation based divisibility test
15. Ripple carry addition and Ripple notation
(Concept simplifies multiplication by eliminating redundant computation)
16. Duplex square made easy
I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v
Squaring ‘Reverse of two digit number’
Let TU be two digit number. Then compute square of its reverse number (UT) as below
1) First partition ‘square of number TU’ into two equal half.
2) Add M=T 2
−U2 into the first half ,while subtract it from second half to get answer !
Mathematically,
(UT)2
= (TU)2
+ 100(T 2
− U2) − (T 2
− U2)
Examples
1) 912
= ?
TU=91, (UT)2 = 192 = 361 , T 2
– U2 =81– 1=80
∴ 912 = 03 61
+ 80 − 80
83 2 1
∴ 912 =83 2 1 =8281
2) 722 = 07 29 272
+ 45 − 45 72 –22 =45
52 2 4
∴ 722 =52 2 4 = 5184
Exercise
i) 912
ii) 822
iii) 522
iv) 722
v) 612
vi) 422
vii) 622
viii) 542
ix) 312
x) 912
I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v
Multiplication of any number by Monodigit number(Quotient Method)
Formulation:
Let
*
9
X b
= Quotient Q , Remainder R
Then X * ( )nb = QRRR......RRR − Q
n times
Example
1) 444* 5261 = ?
5261 * 444 = 5261, 4, 3*( )n X b nX b ⇒ = = =
* 5261*4
9 9
21044
Quotient(Q) 2338, Remainder(R) 2
9
X b
=
= =
444* 5261 = QRRR......RRR − Q
n times
= 2338 222 – 2338
∴ 444* 5261 = 2335884
2) 20034 * 88888 = ?
X = 20034 , b =8 , n = 5
* 20034*8
2226*8
9 9
Quotient(Q) 17808, Remainder(R) 0
X b
= =
=
20034*88888 1780800000 17808
1780817808 1780782192
= −
= =
∴ 20034* 88888 = 1780782192
Proof and other monodigit multiplication methods will be revealed later
I n t e r n a t i o n a l C o p y r i g h t
VJ’s Multiplication Algorithm
1. BINARY MULTIPLICATION
1) Straight Multiplication Step
2) Backward Difference Step
C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v
VJ’s Multiplication Algorithm
MULTIPLICATION
Straight Multiplication Step
Backward Difference Step
v
I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v
2. 19392
= ?
I
03
II
61
III
15
IV
21
03
−
79 (I+II+III)
4
97 (II+III+IV)
00
21
03 75 97 21
∴ 19392 = 375 97 21
I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v
Book Features
1) Word’s first book that explores unique secret
behind speed math
2) Presents innovative VJ’s universal divisibility
test for any number
3) Gives faster method for nth
root of any number
4) Explain concept behind each method
5) Emphasize is given to increase logical thinking
rather than spoon feeding
6) Word’s first book that study monodigit number
7) Boost your computing speed by just
remembering unique secret !
8) Presents new multiplication methods
9) Unifies Trachtenberg + Vedic Math + Modern
Mathematics
10) Presents Global number system based on golden
principle
Innovation Throughout
Awake Mathemagician Inside You !
- Can you multiply 44465 by 8888 in just single line ?
- Can you figure out day on any Gregorian calendar date in 10 seconds ?
- Can you divide 123456 by 44444 instantaneously ?
- Can you raise number to any integral power ?
- Can you check divisibility of 124356 by 37 just in 5 seconds ?
- Can you figure out square root, cube root or any root such as 7th
root of any number without calculator ?
Salient Features
- Gives universal divisibility test for all number
- Explore unique secret behind speed mathematics
- Explain concept behind each method
- Unifies Vedic math, Trachtenberg system and modern math
- Gives faster method for nth
root of any number !

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Speed math preview

  • 1. Unique Key to Master MODERN APPR SPEED MATH SECRET VITTHAL to Master Speed Math ODERN APPROACH TO PEED MATH SECRET VITTHAL B. JADHAV Math ACH PEED MATH SECRET
  • 2. I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v + DVD containing 120 comprehensive interactive PPT * Title of book and topics may change Upcoming Research Book * Modern Approach to Speed Math Secrets (VJ’s Mathemagic) By VITTHAL B. JADHAV * Innovative Content 1. Global number system 1) Golden Principle with proof 2) Application of Golden Principle i) Addition ii) Subtraction iii) Multiplication iv) divisibility v) Trachtenberg system vi) In computer science 2. Derivation of Trachtenberg formulae 3. Monodigit Number, Property , Significance (Full study) 4. N’th Power of number made easy 5. Magical Game (Compute N’th root of any perfect n’th power instantly ! ) 6. Inter Base Conversion Method 7. Universal Divisibility test (Divisibility by any number) 8. Unification of Vertically Crosswise and Trachtenberg Multiplication Method (Concept helps to develop abacus like instrument !) 9. VJ’s Multiplication Method 10. Calendar calculation made easy 11. Remainder Computation made easy (Remainder Corollary) 12. Shift add representation and its application ( For Engineers ) 13. Modified Queen-McCluskey Method (For engineers) 14. Osculation based divisibility test 15. Ripple carry addition and Ripple notation (Concept simplifies multiplication by eliminating redundant computation) 16. Duplex square made easy
  • 3. I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v Squaring ‘Reverse of two digit number’ Let TU be two digit number. Then compute square of its reverse number (UT) as below 1) First partition ‘square of number TU’ into two equal half. 2) Add M=T 2 −U2 into the first half ,while subtract it from second half to get answer ! Mathematically, (UT)2 = (TU)2 + 100(T 2 − U2) − (T 2 − U2) Examples 1) 912 = ? TU=91, (UT)2 = 192 = 361 , T 2 – U2 =81– 1=80 ∴ 912 = 03 61 + 80 − 80 83 2 1 ∴ 912 =83 2 1 =8281 2) 722 = 07 29 272 + 45 − 45 72 –22 =45 52 2 4 ∴ 722 =52 2 4 = 5184 Exercise i) 912 ii) 822 iii) 522 iv) 722 v) 612 vi) 422 vii) 622 viii) 542 ix) 312 x) 912
  • 4. I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v Multiplication of any number by Monodigit number(Quotient Method) Formulation: Let * 9 X b = Quotient Q , Remainder R Then X * ( )nb = QRRR......RRR − Q n times Example 1) 444* 5261 = ? 5261 * 444 = 5261, 4, 3*( )n X b nX b ⇒ = = = * 5261*4 9 9 21044 Quotient(Q) 2338, Remainder(R) 2 9 X b = = = 444* 5261 = QRRR......RRR − Q n times = 2338 222 – 2338 ∴ 444* 5261 = 2335884 2) 20034 * 88888 = ? X = 20034 , b =8 , n = 5 * 20034*8 2226*8 9 9 Quotient(Q) 17808, Remainder(R) 0 X b = = = 20034*88888 1780800000 17808 1780817808 1780782192 = − = = ∴ 20034* 88888 = 1780782192 Proof and other monodigit multiplication methods will be revealed later
  • 5. I n t e r n a t i o n a l C o p y r i g h t VJ’s Multiplication Algorithm 1. BINARY MULTIPLICATION 1) Straight Multiplication Step 2) Backward Difference Step C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v VJ’s Multiplication Algorithm MULTIPLICATION Straight Multiplication Step Backward Difference Step v
  • 6. I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v 2. 19392 = ? I 03 II 61 III 15 IV 21 03 − 79 (I+II+III) 4 97 (II+III+IV) 00 21 03 75 97 21 ∴ 19392 = 375 97 21
  • 7. I n t e r n a t i o n a l C o p y r i g h t © 2 0 1 3 b y V i t t h a l J a d h a v Book Features 1) Word’s first book that explores unique secret behind speed math 2) Presents innovative VJ’s universal divisibility test for any number 3) Gives faster method for nth root of any number 4) Explain concept behind each method 5) Emphasize is given to increase logical thinking rather than spoon feeding 6) Word’s first book that study monodigit number 7) Boost your computing speed by just remembering unique secret ! 8) Presents new multiplication methods 9) Unifies Trachtenberg + Vedic Math + Modern Mathematics 10) Presents Global number system based on golden principle
  • 8. Innovation Throughout Awake Mathemagician Inside You ! - Can you multiply 44465 by 8888 in just single line ? - Can you figure out day on any Gregorian calendar date in 10 seconds ? - Can you divide 123456 by 44444 instantaneously ? - Can you raise number to any integral power ? - Can you check divisibility of 124356 by 37 just in 5 seconds ? - Can you figure out square root, cube root or any root such as 7th root of any number without calculator ? Salient Features - Gives universal divisibility test for all number - Explore unique secret behind speed mathematics - Explain concept behind each method - Unifies Vedic math, Trachtenberg system and modern math - Gives faster method for nth root of any number !