Download E-books Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) PDF

By David A. Singer

A desirable travel via components of geometry scholars are not going to work out within the remainder of their reports whereas, even as, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how choices to Euclids 5th postulate result in attention-grabbing and diversified styles and symmetries, and, within the means of studying geometric items, the writer contains the algebra of advanced and hypercomplex numbers, a few graph idea, and a few topology. attention-grabbing difficulties are scattered during the textual content. however, the e-book simply assumes a direction in Euclidean geometry at highschool point. whereas many ideas brought are complex, the mathematical thoughts usually are not. Singers vigorous exposition and off-beat strategy will tremendously allure either to scholars and mathematicians, and the contents of the e-book may be coated in a one-semester path, might be as a sequel to a Euclidean geometry direction.

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