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Ancient Mathematics: India

July 23
2021

Details

Start:
July 23, 2021
Time:
9:30 am - 1:00 pm AEST
Cost:
$65
Event Categories:
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Ancient Mathematics: India

Ancient Indian mathematicians a proposed positional decimal system that was developed into contemporary decimal numerals. They calculated precise geometrical constructions for sacrificial altars in forms of square, circle, semicircle, isosceles triangle, and isosceles trapezoid, as described in Sulba Sutras (7th-3rd c BCE). Indian mathematicians introduced combinatorics around 4th c BCE. Starting from the 5th c CE, they introduced trigonometry, and since the 6th c CE considered negative solutions for square equations. In the early 16th c, they introduced series for functions sin x, cos x, and arctg x, and performed accurate trigonometric calculations two centuries before European mathematicians.

DELIVERY MODE

  • Online

COURSE OUTLINE

  • Origin and development of Indian decimal numeral systems
  • Sulba Sutras
  • Drawing of a square, half area square, rectangle
  • Areas of a circle, semicircle, isosceles triangle, and isosceles trapezoid
  • Approximations for Pi
  • Jain mathematics: calculations of circumference and segments
  • The beginnings of trigonometry
  • Introducing combinatorics
  • Negative solutions for square equations
  • Madhava and the Kerala School of Mathematics (14 c CE)
  • Series for trigonometric functions
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