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- W4254356823 abstract "In the development of elementary algebra, the concept of a number has been extended to include not only positive integers but also fractions, directed numbers, and complex numbers; similarly, the operations of adding and multiplying two numbers been redefined at each stage to give to the operations meanings that are reasonable for application to the new members of the family of numbers and yet not to conflict with previous definitions. The inverse processes of subtracting and dividing retain at each stage the property of being inverse processes and do not, therefore, demand separate consideration. In defining the operations of addition and multiplication at each stage of elementary algebra, two laws have remained invariant, namely, the commutative law and the associative law. An examination of elementary mechanics provides two examples in which vector quantities are combined in such a way that the result is proportional to the arithmetical product of their moduli." @default.
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- W4254356823 date "1964-01-01" @default.
- W4254356823 modified "2023-10-01" @default.
- W4254356823 title "CHAPTER II" @default.
- W4254356823 doi "https://doi.org/10.1016/b978-0-08-021654-6.50005-7" @default.
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