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 likely to determine within the remainder of their reviews whereas, while, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how possible choices to Euclids 5th postulate bring about fascinating and diversified styles and symmetries, and, within the technique of studying geometric items, the writer contains the algebra of complicated and hypercomplex numbers, a few graph concept, and a few topology. attention-grabbing difficulties are scattered during the textual content. however, the publication simply assumes a direction in Euclidean geometry at highschool point. whereas many recommendations brought are complicated, the mathematical innovations aren't. Singers energetic exposition and off-beat strategy will significantly charm either to scholars and mathematicians, and the contents of the e-book may be coated in a one-semester path, possibly as a sequel to a Euclidean geometry direction.

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