Vedic maths .PPT

Embed Size (px)

Citation preview

  • 1.Vedic Mathematics

2.

  • Vedic mathematicsis a system of mathematics consisting of a list of16 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.

What is Vedic Mathematics? 3.

  • Most important sources for Vedic Mathematicsare found inAstronomy, Astrology and Kalpa ( rules for rituals and ceremonies).
  • Evidence is usually in theform of sutra s(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 4. 5. 98X97

  • 2( Subtract 100-98 )
  • 3( Subtract 100-97 )
  • (Subtract97-2 )Step 3
  • 06( Multiply2X3 )Step 4
  • Answer : 9506

Step 1 Step 2 6. Tirthaji 7.

  • Born in India in 1884.
  • Awarded the title ofSaraswati by the Madras Sanskrit Association for his proficiency in Sanskrit.
  • Completedseven masters degrees , including Philosophy, English, Mathematics, History and Science, with the American College of Sciences.

Tirthaji 8. 16 Sutras in Hindi 9. Sutras in English 1-5 10. Sutras in English 6-10 11. Sutras in English 11-16 12. Vedic Numbers 13. Sutra -2Example ALL FROM 9 AND THE LAST FROM 10 14. SUBTRACTION Sutra -2 :ALL FROM 9 AND THE LAST FROM 10 15. Using VERTICALLY AND CROSSWISE you do not need the multiplication tables beyond 5 X 5 16. Using VERTICALLY AND CROSSWISE WITH CARRY OVER 17. 88X98 Using VERTICALLY AND CROSSWISE WITH CARRY OVER 2 Digit numbers 18. Multiplication of Numbers over Hundred 19. Squaring numbers

  • Squaring of Nine
  • 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 1. Hence, thesquare of nine is 81.

20.

  • Kalpasutras gave directions for conducting sacrificial fires at different times of the year.
  • - Tocalculate the planetary positionswith Vedic mathematics.
  • To constructcalendars/panchangasfor lunar as well solar months.

Application of Vedic mathematics 21.