Download Geometry: Plane and Fancy (Undergraduate Texts in by David A. Singer PDF

By David A. Singer

a desirable journey via components of geometry scholars are not going to work out within the remainder of their stories whereas, even as, anchoring their tours to the well-known parallel postulate of Euclid. the writer indicates how choices to Euclids 5th postulate bring about attention-grabbing and diverse styles and symmetries, and, within the technique of interpreting geometric items, the writer contains the algebra of complicated and hypercomplex numbers, a few graph thought, and a few topology. fascinating difficulties are scattered in the course of the textual content. however, the ebook simply assumes a direction in Euclidean geometry at highschool point. whereas many options brought are complicated, the mathematical options will not be. Singers vigorous exposition and off-beat process will significantly attraction either to scholars and mathematicians, and the contents of the publication could be lined in a one-semester path, might be as a sequel to a Euclidean geometry course.

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