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  1. POWER POINT PRESENTATION SCHOOL STAFF SCHOOL STAFF on SRIDHARACHARYA

  2. INTRODUCTION ABOUT SRIDHARACHARYA SRIDHARACHARYA

  3. Sridhar Acharya was an Indian mathematician, Sanskrit pandit and philosopher. He was born in burhisreeti village in South Hughli in the 8th Century AD. His father's name was baladev Acharya and mother's name was Acchoka. His father was also a Sanskrit pandit.

  4. OPENING SHORTLY

  5. He was known for two treatises: Trisatika and the Patiganita. His major work Patiganitasara was named Trisatika because it was written in three hundred slokas. The book discusses counting of numbers, measures, natural number, multiplication, division, zero, squares, cubes, fraction, rule of three, interest-calculation, joint business or partnership and mensuration

  6. After giving the rules for computing with natural numbers, Sridhara gives rules for operating with rational fractions. He gives a wide variety of applications including problems involving ratios, barter, simple interest, mixtures, purchase and sale, rates of travel, wages, and filling of cisterns. Some of the examples are decidedly non-trivial and one has to consider this as a really advanced work. Other topics covered by the author include the rule for calculating the number of combinations of n things taken m at a time. There are sections of the book devoted to arithmetic and geometric progressions, including progressions with a fractional numbers of terms, and formulae for the sum of certain finite series are given.

  7. The book ends by giving rules, some of which are only approximate, for the areas of a some plane polygons. In fact the text breaks off at this point but it certainly was not the end of the book which is missing in the only copy of the work which has survived.

  8. He gave an exposition on zero. He has written, "If 0(zero) is added to any number,the sum is the same number; If 0(zero) is subtracted from any number,the number remains unchanged; If 0(zero) is multiplied by any number,the product is 0(zero)". He has said nothing about division of any number by 0(zero). In the case of dividing a fraction he has found out the method of multiplying the fraction by the reciprocal of the divisor. He wrote on practical applications of algebra He separated algebra from arithmetic He was one of the first to give a formula for solving quadratic equations.

  9. QUADRATIC EQUATION

  10. Sridhara was one of the first mathematicians to give a rule to solve a quadratic equation. Unfortunately, as indicated above, the original is lost and we have to rely on a quotation of Sridhara's rule from Bhaskara II:- Multiply both sides of the equation by a known quantity equal to four times the coefficient of the square of the unknown; add to both sides a known quantity equal to the square of the coefficient of the unknown; then take the square root.

  11. BOOKS WRITTEN BY sridharacharya

  12. THANKING YOU viswas

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