INTRODUCTIONVedic 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.

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:

EARLY VEDIC PERIOD

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 mathematicsThe 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”

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.

LATER VEDIC PERIOD( 1000 BC TO 500 BC) 2) PERIOD OF SURYA PRAGYAPATI SURYA PRAGYAPATI AND CHANDRA

PRAGYAPATI are well known books of Jain religionIn Surya Pragyapati, the concept of ellipse(oval shape) has been clearly describedThe 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)

LATER VEDIC PERIOD( 1000 BC TO 500 BC)EXAMPLE:

I.E.

32 52

42

52

3232 42

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.

16 SutrasAll 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 zeroIf one is in ratio the other is zeroBy addition and by subtractionBy the completion or non completion

continuedDifferential 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.

For e.g1)“One more than the One before”

calculation of 452

Step 1:

Determine the Number to the left of the 5 that number is obviously 4.

.

.

.

Step 2:

Multiply this number by next higher number.

This means multiply 4 by 5, this results in the number 20.

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

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.

The First Sutra: Ekādhikena Pūrvena

“By one more than the previous one”.

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.