Earliest Methods used to solve Quadratic Equation
Earliest Methods used to solve Quadratic Equation
1.
Babylonian mathematics (also known as Assyro-Babylonian mathematics) was any mathematics developed or practiced by the people of Mesopotamia, from the days of the early Sumerians to the fall of Babylon in 539 BC. Babylonian mathematical texts are plentiful and well edited.[7] 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 BC. In respect of content there is scarcely any difference between the two groups of texts. Thus Babylonian mathematics remained constant, in character and content, for nearly two millennia.[7]
In contrast to the scarcity of sources in Egyptian mathematics, our knowledge of Babylonian mathematics is derived from some 400 clay tablets unearthed since the 1850s. Written in Cuneiform script, tablets were inscribed while the clay was moist, and baked hard in an oven or by the heat of the sun. The majority of recovered clay tablets date from 1800 to 1600 BCE, and cover topics that include fractions, algebra, quadratic and cubic equations and the Pythagorean theorem. The Babylonian tablet YBC 7289 gives an approximation to accurate to three sexagesimal places (seven significant digits). BABYLONIANS NUMERALS
Cuneiform numbers could be written using a combination of two symbols: a vertical wedge for '1' and a corner wedge for '10'. The Babylonians had a sexagesimal system and used the concept of place value to write numbers larger than 60. So they had 59 symbols for the numbers 1-59, and then the symbols were repeated in different columns for larger numbers. For example, a '2' in the second column from the right meant (2 x 60)=120, and a '2' in the column third from the right meant (2 x 602)=7200.
BABYLONIANS NUMBER TABLES
One aspect of Babylonian mathematics shared with the Egyptians is that of making tables to ease the effort of calculations. They made tables of many things
1.
Babylonian mathematics (also known as Assyro-Babylonian mathematics) was any mathematics developed or practiced by the people of Mesopotamia, from the days of the early Sumerians to the fall of Babylon in 539 BC. Babylonian mathematical texts are plentiful and well edited.[7] 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 BC. In respect of content there is scarcely any difference between the two groups of texts. Thus Babylonian mathematics remained constant, in character and content, for nearly two millennia.[7]
In contrast to the scarcity of sources in Egyptian mathematics, our knowledge of Babylonian mathematics is derived from some 400 clay tablets unearthed since the 1850s. Written in Cuneiform script, tablets were inscribed while the clay was moist, and baked hard in an oven or by the heat of the sun. The majority of recovered clay tablets date from 1800 to 1600 BCE, and cover topics that include fractions, algebra, quadratic and cubic equations and the Pythagorean theorem. The Babylonian tablet YBC 7289 gives an approximation to accurate to three sexagesimal places (seven significant digits). BABYLONIANS NUMERALS
Cuneiform numbers could be written using a combination of two symbols: a vertical wedge for '1' and a corner wedge for '10'. The Babylonians had a sexagesimal system and used the concept of place value to write numbers larger than 60. So they had 59 symbols for the numbers 1-59, and then the symbols were repeated in different columns for larger numbers. For example, a '2' in the second column from the right meant (2 x 60)=120, and a '2' in the column third from the right meant (2 x 602)=7200.
BABYLONIANS NUMBER TABLES
One aspect of Babylonian mathematics shared with the Egyptians is that of making tables to ease the effort of calculations. They made tables of many things