Vedic Vedic MathematicsMathematics

What is Vedic Mathematics?Vedic mathematics is a system of

mathematics consisting of a list of 16 basic sutras, or aphorisms obtained from Vedas.

They were presented by a Hindu scholar and mathematician, Bharati Krishna Tirthaji Maharaja, during the early part of the 20th century.

Most important sources for Vedic Mathematics are found in Astronomy, Astrology and Kalpa (rules for rituals and ceremonies).

Evidence is usually in the form of sutras (a peculiar form of writing which is very concise and often uses a poetic style to capture the essence of argument or result).

Evidence of Vedic Mathematics

98X9798 2 (Subtract 100-98)99 3 (Subtract 100-97)

95 (Subtract 97-2) Step 3

06 (Multiply 2X3) Step 4

Answer : 9506

Step 1

Step 2

Tirthaji

Tirthaji

Born in India in 1884.

Awarded the title of Saraswati by the Madras Sanskrit Association for his proficiency in Sanskrit.

Completed seven masters degrees, including Philosophy, English, Mathematics, History and Science, with the American College of Sciences.

16 Sutras in Hindi

Sutras in English 1-5

Sutras in English 6-10

Sutras in English 11-16

Vedic Numbers

Sutra -2 ExampleALL FROM 9 AND THE LAST FROM 10

SUBTRACTION

Sutra -2 : ALL FROM 9 AND THE LAST FROM 10

Using VERTICALLY AND CROSSWISE you do not need the multiplication tables beyond 5 X 5

Using VERTICALLY AND CROSSWISE WITH CARRY OVER

88X98

Using VERTICALLY AND CROSSWISE WITH CARRY OVER – 2 Digit numbers

Multiplication of Numbers over Hundred

Squaring numbersSquaring of Nine

1.The nearest power of 10 to 9 is 10. Therefore, let us take 10 as our base.

2. Since 9 is 1 less than 10, decrease it by the deficiency ( 9 - 1 = 8). This is the leftmost digit of our answer.

3. On the right hand side put the square of the deficiency, which is 1². Hence, the square of nine is 81.

Kalpasutras gave directions for conducting sacrificial fires at different times of the year.

- To calculate the planetary positions with Vedic mathematics.

To construct calendars/panchangas for lunar as well solar months.

Application of Vedic mathematics