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Tuesday, February 21, 2012

Meaning and history of Vedic Maths

Vedic mathematics is a system of mathematics consisting of a list of 16 basic sūtras, or aphorisms. They were presented by a Hindu scholar and mathematician.

The calculation strategies provided by Vedic mathematics are said to be creative and useful, and can be applied in a number of ways to calculation methods in arithmetic and algebra, most notably within the education system.

The sūtras (formulae or aphorisms)

Vedic mathematics is based on sixteen sūtras which serve as somewhat cryptic instructions for dealing with different mathematical problems. Below is a list of the sūtras, translated from Sanskrit into English:
  • "By one more than the previous one"
  • "All from 9 and the last from 10"
  • "Vertically and crosswise (multiplications)"
  • "Transpose and apply"
  • "Transpose and adjust (the coefficient)"
  • "If the Samuccaya is the same (on both sides of the equation, then) that Samuccaya is (equal to) zero"
  • By the Parāvartya rule
  • "If one is in ratio, the other one is zero."
  • "By addition and by subtraction."
  • By the completion or non-completion (of the square, the cube, the fourth power, etc.)
  • Differential calculus
  • By the deficiency
  • Specific and general
  • The remainders by the last digit
  • "The ultimate (binomial) and twice the penultimate (binomial) (equals zero),"
  • "Only the last terms,"
  • By one less than the one before
  • The product of the sum
  • All the multipliers


Background information on the Vedas

a literal translation of the Sanskrit word, is “knowledge” (Veda).


call: shubhang arora

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