mathematics in ancient and classical times
TRANSCRIPT
Mathematics in Ancient and Classical Times
4 February 2016
CAWILI ESGUERRA GENERAL LORIA SESCAR
Introduction
Prehistoric Mathematics
Lebombo Bone
Sumerian / Babylonian Mathematics
Small clay cones Clay balls Large clay cones
1 10 60
Sumerian / Babylonian Mathematics
Base 60
True place value system
Circle character for zero
Solution of quadratic equations written on clay tablets
Babylonian Numerals
Clay Tablet
Egyptian Mathematics
Decimal
Fractions
Rule for the volume of truncated pyramid
Formulas and methods for multiplication and addition
Egyptian Numerals
Egyptian Mathematics
Decimal
Fractions
Rule for the volume of truncated pyramid
Formulas and methods for multiplication and addition
Chinese Mathematics
Small bamboo rods
The Nine Chapters on the Mathematical Art
Chinese Numerals
Arabic Mathematics
Use of complex geometric patterns to decorate buildings
Indian Mathematics
Indian Numerals
“Sulba Sutras”
Geometric solutions of linear and quadratic equations in a single unknown
Five different types of infinities:
Infinite in one direction
Infinite in two directions
Infinite in area
Infinite everywhere
Perpetually infinite
Roman Mathematics
Geometry – practicality and utility
Roman Numeral System
Greek Mathematics
Geometry
Irrational Numbers
Known Greek Mathematicians:
Thales of Miletus
Pythagoras
Eudoxus
Hipparchus
Euclid
Three Classical Problems
Pythagoras
Greek Mathematics
Thales of Miletus HipparchusEudoxus