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

By David A. Singer

A desirable journey via components of geometry scholars are not likely to determine within the remainder of their experiences whereas, whilst, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how possible choices to Euclids 5th postulate bring about attention-grabbing and diverse styles and symmetries, and, within the technique of analyzing geometric items, 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 e-book simply assumes a path in Euclidean geometry at highschool point. whereas many thoughts brought are complicated, the mathematical ideas aren't. Singers full of life exposition and off-beat process will drastically attraction either to scholars and mathematicians, and the contents of the booklet should be coated in a one-semester path, possibly as a sequel to a Euclidean geometry path.

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