Math 192 reporting. Riemann group

1. Mathematics in Ancient and
Classical Times
4 February 2016
CAWILI ESGUERRA GENERAL LORIA SESCAR

2. Introduction

3. Prehistoric Mathematics
Lebombo Bone

4. Sumerian / Babylonian Mathematics
Small clay cones Clay balls Large clay cones
1 10 60

5. 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

6. Egyptian Mathematics
 Decimal
 Fractions
 Rule for the volume of truncated pyramid
 Formulas and methods for multiplication
and addition
Egyptian Numerals

7. Egyptian Mathematics
 Decimal
 Fractions
 Rule for the volume of truncated pyramid
 Formulas and methods for multiplication
and addition

8. Chinese Mathematics
 Small bamboo rods
 The Nine Chapters on the
Mathematical Art
Chinese Numerals

9. Arabic Mathematics
 Use of complex geometric patterns
to decorate buildings

10. 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

11. Roman Mathematics
 Geometry – practicality and
utility
 Roman Numeral System

12. Greek Mathematics
 Geometry
 Irrational Numbers
 Known Greek Mathematicians:
 Thales of Miletus
 Pythagoras
 Eudoxus
 Hipparchus
 Euclid
 Three Classical Problems
Pythagoras

13. Greek Mathematics
Thales of Miletus Hipparchus
Eudoxus