According to geographic

1. Mesopotamia
-found the first number for the first time
-found the heavy system and measure system
-they had knew aspect of mathematic like zero concept and division the circle into 360 degrees

2. Babilonia
-use the system of decimal and phi=3,125
-founder the calculate for the first time
-knew geometry as the basic of astronomy calculation
-use approximation for quadrate root
-their geometry have an algebra character
-their arithmetica develop well became rhetorical algebra, can solve quadratic similarity

3. Egypt
-had knew formulas to calculate the wide and volume
-knew the system of number and symbol
-knew triple Pythagoras (right angle)
-knew the theorem of Pythagoras

4. Greek
-Pythagoras proved the theorem of Pythagoras through mathematical (the best)
-Diophantus founded arithmetica
-Diophantus just knew rational and positive answers; he has estimation for zero and escape from negative coefficient
-was born the sphere trigonometry

5. India
-Aryabhata founded the relation of circle circumference
-strike theory "stanam stanam gunam" : the basic of modern decimal theory
-Bramaghypta found the negative number
-zero number used as marker of the empty space

6. China
-knew the character of triangle
-the power of old mathematic located in algebra
-used the negative number long time before other culture