Arithmetic

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arithmetic is a branch of which includes/understands the part of the theory of the numbers which uses methods of and of theory of the groups.

Formerly, the arithmetic one was limited to the study of the properties of , of , and of (in the form of fractions), and with the properties of the operations on these .

arithmetic operations traditional are itaddition, division, multiplication, and subtraction.

This discipline was then widened by the inclusion of the study of other numbers like (in the form of decimal development unlimited), or even of more advanced concepts, like or .

History

In the school pythagorician ( of Samos), with second half of the VI^E century before J.- C., the arithmetic one was with , it and , one of four quantitative or mathematical sciences (Mathemata). Those were gathered by the Romans under the name of Quadrivium who was considered, with Trivium rather logical (, , dialectical), like septem liberales artes (seven liberal arts).

See also:

• Addition in N
• Associativeness
• Commutation
• Distributivity
• Transitivity
• Order of the operations
• Arithmetic saturated
• Prime number

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