A long way from Euclid by Constance Reid

By Constance Reid

Mathematics has come far certainly within the final 2,000 years, and this consultant to fashionable arithmetic lines the interesting course from Euclid's Elements to modern ideas. No heritage past common algebra and airplane geometry is critical to appreciate and get pleasure from writer Constance Reid's basic, direct motives of the mathematics of the endless, the paradoxes of aspect units, the "knotty" difficulties of topology, and "truth tables" of symbolic common sense. Reid illustrates the ways that the quandaries that arose from unsolvable difficulties promoted new rules. Numerical ideas elevated to house such techniques as 0, irrational numbers, destructive numbers, imaginary numbers, and endless numbers.
Geometry complicated into the widening territories of projective geometry, non-Euclidean geometries, the geometry of n-dimensions, and topology or "rubber sheet" geometry. greater than eighty drawings, built-in with the textual content, help in cultivating a clutch of the summary foundations of recent arithmetic, the hunt for actually constant assumptions, the popularity that absolute consistency is not possible, and the belief that a few difficulties can by no means be solved.

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