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

By David A. Singer

A desirable journey via elements of geometry scholars are not going to work out within the remainder of their experiences whereas, while, 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 diverse styles and symmetries, and, within the means of interpreting geometric gadgets, the writer contains the algebra of advanced and hypercomplex numbers, a few graph idea, and a few topology. fascinating difficulties are scattered through the textual content. however, the booklet basically assumes a path in Euclidean geometry at highschool point. whereas many options brought are complicated, the mathematical recommendations should not. Singers energetic exposition and off-beat procedure will tremendously charm either to scholars and mathematicians, and the contents of the publication should be lined in a one-semester direction, might be as a sequel to a Euclidean geometry path.

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