Vedic mathematics

An interesting and quickest method of learning mathematics.
Got highest utilitarian value as individual apply knowledge in life quickly.

2. INTRODUCTION
Vedic Mathematics is an
ancient system of
mathematics that was
rediscovered by Bharati
Krishna Tirthaji between
1911 and 1918
The system was
rediscovered from
ancient Sanskrit text
early last century.

3. EARLIER VEDIC PERIOD (6000
BC TO 1000 BC)
This period is
remembered especially
for its remarkable
contributions in the field
of numerical
mathematics, which can
be summarized as
under:

4. EARLY VEDIC PERIOD

5. LATER VEDIC PERIOD( 1000 BC TO
500 BC)
1) PERIOD OF SHULVA AND VEDANG ASTRONOMY
This period of V.M is known for its development and
contributions in the field of geometrical mathematics
The importance was given to the formation of altars
and their subdivisions
These formulae was termed as “SHULVA SUDRAS”
The rope used as a measure to prepare altar was
called “SHULVA”

6. LATER VEDIC PERIOD( 1000 BC TO
500 BC)
The main founders of Shulva Sutras were
BAUDHAYAN, AAPSTAMB AND KATYAYAN .
The world famous Pythagoras theorem of present
time was mentioned in the Shulva Sutras
developed by BAUDHAYAN.
He had given the method of constructing a
square equal to the sum and difference of the two
other squares and found the √2 upto five decimal
points.

7. LATER VEDIC PERIOD( 1000 BC TO
500 BC)
2) PERIOD OF SURYA PRAGYAPATI
 SURYA PRAGYAPATI AND CHANDRA
PRAGYAPATI are well known books of Jain religion
In Surya Pragyapati, the concept of ellipse(oval
shape) has been clearly described
The examples of permutation and combinations,
logarithms, set theory etc are found in Jain religious
books.
This indicates that logarithms was invented by
Indian mathematicians long before than Napier
(1550 A.D – 1617 A.D)

8. LATER VEDIC PERIOD( 1000 BC TO
500 BC)
EXAMPLE:
I.E.
32
52 42
527$ 32 42

9. CHARACTERISTICS OF V.M
 The difficult problems or huge sums can often be
solved immediately
The calculations can be carried out mentally.
Pupils can invent new methods. They are not
limited to the one correct method.
This leads to more creative, interested and
intelligent pupils.

10. 16 Sutras
All from 9 and the last from 10
Vertically and crosswise
By one more than the one before
Transpose and apply
If the sum is the same that sum is zero
If one is in ratio the other is zero
By addition and by subtraction
By the completion or non completion

11. continued
Differential calculus
By the deficiency
Specific and general
The remainder by the last digit
The ultimate and twice the penultimate
By one less than the one before
The Product of the sum
All the multipliers.

12. For e.g
1)“One more than the One before”
calculation of 45
2


Step 1:
Determine the Number to the left of the 5 that
number is obviously 4.
.
.
.

13. Step 2:
Multiply this number by next higher
number.
 This means multiply 4 by 5, this results in
the number 20.

14. Step 3:
Follow this result with the number 25
This means the number 25 will follow 20 i.e. 2025.
This is the answer to the problem

15. For e.g.: Multiply 764 by 999
2)Multiplication with a series of 9’s
We subtract 1 from 764 and write the answer as 763.
9
7
6
3
2 3 6
9 – 7 =29 – 6 = 39 – 3 =6
 The answer already obtained was 763
now we suffix the digits obtained in
previous step.
Now we will be dealing with 763.
Subtract each of the digits 7,6, and 3 from 9 and write down them in answer.
The final answer is 763236.

16. The First Sutra:
Ekādhikena Pūrvena
“By one more than the previous one”.

17. Conclusion
 Vedic Mathematics is the source of actual
Mathematics what we are studying now in schools
and colleges.
We can find many useful methods to solve the
problems through Vedic Mathematics.
Vedic Mathematics definitely improves the
calculation power of an individual.
Vedic mathematics is a beautiful practice that
keeps the brain alert and helps in the overall
development of an individual.