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Revision difference : Arabic numerals |
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Version 15 |
| Arab mathematicians brought and implemented 1-9 counting numerals from India around 800 AD to replace ciphered numerals. Earlier Arab and Hellene numeration practices had mapped the counting numbers, beginning with 1 onto alphabetic symbols. Hellene and Greeks had used ciphered numeral systems established by 2,000 BCE Egyptians. Greeks, for example, ciphered the counting numbers, excluding zero, on an 1:1 basis onto Ionian and Doric alphabets. In the Greek view of number, a fraction 1/n was written as n', a variation of the older Egyptian ciphered fraction notation. Abstract numerals were brought into Europe by these Arab activities. |
Arab mathematicians brought and implemented 1-9 counting numerals from India around 800 AD to replace ciphered numerals. Earlier Arab and Hellene numeration practices had mapped the counting numbers, beginning with 1 onto alphabetic symbols. Hellene and Greeks had used ciphered numeral systems established by 2,000 BCE Egyptians. Greeks, for example, ciphered the counting numbers, excluding zero, on an 1:1 basis onto Ionian and Doric alphabets. In the Greek view of number, a fraction 1/n was written as n', a variation of the older Egyptian ciphered fraction notation. Abstract numerals were brought into Europe by these Arab activities. |
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| It should be noted that zero had been understood by Greeks, Egyptians and Babylonians, but not as counting numbers. Greeks wrote zero as a oval, topped with two dots. 1500 BCE Egyptians used the word sfr for zero in accounting and other purposes. Neuegebaur reported that Babylonians used a practical zero around the time of the Egyptian uses. |
It should be noted that zero had been understood by Greeks, Egyptians and Babylonians, but not as counting numbers. Greeks wrote zero as a oval, topped with two dots. 1500 BCE Egyptians used the word sfr for zero in accounting and other purposes. Neuegebaur reported that Babylonians used a practical zero around the time of the Egyptian uses. |
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| Arab and East Indian base 10 numeral innovations developed a few of the foundations of our modern decimal system. Pope Sylvester in 999 AD accepted the 800 AD Arab numeration ideas within Egyptian fraction arithmetic, a major step that eventually brought abstract numerals and Arab math to Europe. Fibonacci's 1202 AD Liber Abaci, for example, defined the scope of medieval arithmetic and higher mathematics. Within the Liber Abaci higher order mathematics included lattice multiplication, indeterminate equations from Diophantus and Chinese Remainder Theorem methods, brought from Silk Road trade activities. |
Arab and East Indian base 10 numeral innovations developed a few of the foundations of our modern decimal system. Pope Sylvester in 999 AD accepted the 800 AD Arab numeration ideas within Egyptian fraction arithmetic, a major step that eventually brought abstract numerals and Arab math to Europe. Fibonacci's 1202 AD Liber Abaci, for example, defined the scope of medieval arithmetic and higher mathematics. Within the Liber Abaci higher order mathematics included lattice multiplication, indeterminate equations from Diophantus and Chinese Remainder Theorem methods, brought from Silk Road trade activities. |
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These higher medieval math resources may have motivated Renaissance mathematicians to bring together Arab numerals, Arab algorithms, and practical zero ideas together to define the base 10 decimal system. Zero was formally added as a theoretical counting number when the base 10 decimal system added an algorithm to the binomial theorem. The well known definition of n to the zero power equaling one (1) became an element. The details of the base 10 decimal system were recorded in 1585 AD by Simon Stevin. Stevin used zero as a place-holder, and as a theoretical number, in two books, one for science and one for business. Both books were approved by the Paris Academy. Several scholars have given credit to Napier for the acceptance and popularization of the decimal system with the development of logarithms and the popularization of Napier's Bones, an Arab or Hellene multiplication method used by Fibonacci. Napier's numeration publications facilitated Galileo's astronomical work in 1609.
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These higher medieval math resources may have motivated Renaissance mathematicians to bring together Arab numerals, Arab algorithms, and practical zero ideas together to define the base 10 decimal system. Zero was formally added as a theoretical counting number when the base 10 decimal system added an algorithm to the binomial theorem. The well known definition of n to the zero power equaling one (1) became an element. The details of the base 10 decimal system were recorded in 1585 AD by Simon Stevin. Stevin used zero as a place-holder, and as a theoretical number, in two books, one for science and one for business. Both books were approved by the Paris Academy. Several scholars have given credit to Napier for the acceptance and popularization of the decimal system with the development of logarithms and the popularization of Napier's Bones, an Arab or Hellene multiplication method used by Fibonacci. Napier's numeration publications facilitated the use of the 1608 Dutch telescope used by Galileo in 1609 and later improved by Huygens.
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