Sam

**Samantha's page!  PHASE ONE Babylonians  ** Wikipedia Babylonian......**http://en.wikipedia.org/wiki/Babylonian#Mathematics
 * Babylonian mathematical texts are plentiful and well edited. In respect of time they fall in two distinct groups: one from the Old Babylonian period (1830-1531 BC), the other mainly Seleucid from the last three or four centuries B.C. In respect of content there is hardly any difference between the two groups of texts.Babylonian mathematics remained constant, in character and content, for nearly two millennia.**
 * From this we see the modern day usage of 60 seconds in a minute, 60 minutes in an hour, and 360, 60 x 6 degrees in a circle. The Babylonians were able to make great advances in mathematics for two reasons. First, the number 60 has many divisors like 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30. Additionally, unlike the Egyptians and Romans, the Babylonians had a true place-value system, where digits written in the left column represented larger values much as in our base-ten system: 734 = 7×100 + 3×10 + 4×1. Among the Babylonians' mathematical accomplishments were the determination of the squear root of two correctly to seven places. They also demonstrated knowledge of the Pythagorena theorem well before Pythagoras, as evidenced by this tablet translated by Dennis Ramsey and dating to ca. 1900 BC:

**Brahmagupta** __//**A debt minus zero is a debt. A fortune minus zero is a fortune. Zero minus zero is a zero. A debt subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero multiplied by a debt or fortune is zero. The product of zero multipliedby zero is zero. The product or quotient of two fortunes is one fortune. The product or quotient of two debts is one fortune. The product or quotient of a debt and a fortune is a debt. The product or quotient of a fortune and a debt is a debt.**//__ http://www.gap-system.org/~history/Biographies/Brahmagupta.html


 * Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. Mainly he wrote //Brahmasphutasiddhanta// The Opening of the Universe, in 628. The work was written in 25 chapters and Brahmagupta tells us in the text that he wrote it at Bhillamala which today is the city of Bhinmal. This was the capital of the lands ruled by the Gurjara dynasty.**
 * Brahmagupta was an Indian mathematician and astronomer. Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta The Opening of the Universe, in 628. The work was written in 25 chapters and Brahmagupta tells us in the text that he wrote it at Bhillamala which today is the city of Bhinmal. This was the capital of the lands ruled by the Gurjara dynasty.**


 * http://www.gap-system.org/~history/Biographies/Brahmagupta.html**


 * The mathematician who first framed the rules of operation for zero was Brahmagupta. He was also to give a solution to middle intermediate equations of the type ax2 + 1 = y2 and the founder of a branch of higher mathematics called “Numerical analysis”. No wonder Bhaskara, the great mathematician, conferred on him the title of Ganakachakrachudamani, the gem of the circle of mathematicians.[]**



**PHASE TWO **

**PHASE THREE ** 

**PHASE FOUR** 

**PHASE FIVE**