By David A. Singer

A desirable travel via components of geometry scholars are not going to determine within the remainder of their experiences whereas, even as, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how possible choices to Euclids 5th postulate result in attention-grabbing and assorted styles and symmetries, and, within the technique of reading geometric gadgets, the writer contains the algebra of complicated and hypercomplex numbers, a few graph concept, and a few topology. attention-grabbing difficulties are scattered in the course of the textual content. however, the publication in simple terms assumes a path in Euclidean geometry at highschool point. whereas many techniques brought are complicated, the mathematical thoughts will not be. Singers vigorous exposition and off-beat strategy will vastly attraction either to scholars and mathematicians, and the contents of the ebook could be lined in a one-semester path, probably as a sequel to a Euclidean geometry direction.

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