Opis: A Brief Course in Advanced Algebra - Velzer C. A. Van

Excerpt from A Brief Course in Advanced Algebra: Being Course Two in Mathmatics in the University of Wisconsin

1. Let us notice what is meant by Algebraic Quantity, and how the notion of it may originate. The primitive conception of number is used when we enumerate the marbles in a box, and say: 0, 1, 2, 3, 4, etc. Our simple scale is arithmetical quantity, and it runs down to a definite nothing, or zero, and stops. But let us attempt to apply this scale in the measurement of other things. Suppose we are estimating time. Where is the zero from which all time is to be measured in one direction, or sense There is no such zero, as in the case of the marbles; for you can conceive of no event so far past but what other events preceded it. We are forced to select a standard event, and measure the time of other events with reference to the lapse before or after that. The zero used is an arbitrary one, and there is quantity in reference to it in two opposite senses, future and past, or, as is said in algebra, positive and negative. We are likewise obliged to recognize quantity as extending both ways from a zero in the attempt to measure many other things; in locating points along an east and west line, no point is so far west but what other points are west of it, hence could not be located in the arithmetical scale; the same in measuring force, which may be attractive or repulsive; or motion, which may be toward or from; etc. Thus our notion of algebraic quantity, as we name this kind of number, has arisen.

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Szczegóły: A Brief Course in Advanced Algebra - Velzer C. A. Van

Nazwa: A Brief Course in Advanced Algebra Being Course Two in Mathmatics in the University of Wisconsin (Classic Reprint)
Autor: Velzer C. A. Van
Wydawnictwo: FB &c Ltd
Kod paskowy: 9781330108505
Języki: angielski
Ilość stron: 82
Format: 15.2x22.9cm
Oprawa: Miękka

Recenzje: A Brief Course in Advanced Algebra - Velzer C. A. Van