Algebraic Geometry

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 work out within the remainder of their reports whereas, whilst, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how possible choices to Euclids 5th postulate result in fascinating and assorted styles and symmetries, and, within the means of interpreting geometric items, the writer comprises the algebra of advanced and hypercomplex numbers, a few graph thought, and a few topology. attention-grabbing difficulties are scattered during the textual content. however, the booklet purely assumes a direction in Euclidean geometry at highschool point. whereas many thoughts brought are complex, the mathematical concepts are usually not. Singers energetic exposition and off-beat process will drastically attraction either to scholars and mathematicians, and the contents of the booklet will be lined in a one-semester path, possibly as a sequel to a Euclidean geometry direction.

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