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Wednesday, August 14, 2013

Geometry 2nd Edition by David Brannan, Esplen and Gray

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Geometry 2nd Edition by David A. Brannan, Matthew F. Esplen and Jeremy J. Gray conveys the beauty and pleasure of the topic, avoiding the dryness of many geometry texts. The readers are launched to the notions of Euclidean congruence, affine congruence, projective congruence and sure variations of non-Euclidean geometry (hyperbolic, spherical and inversive).

Not only are students introduced to a variety of algebraic methods, however they are going to encounter a most pleasing mixture of course of and product. This richly illustrated and clearly written text consists of full options to over 200 problems and is suitable both for undergraduate courses on geometry and as a useful resource for self study.

This textbook captures the excitement and fantastic thing about geometry. The approach is that of Klein in his Erlangen program: geometry is along with a set of transformations. The authors explore varied geometries: affine, projective, inversive, hyperbolic and elliptic. In every case they carefully clarify the important thing results and discuss the relationships between the geometries.

New features in this second edition include concise end-of-chapter summaries to aid scholar revision, a list of further studying and a list of special symbols. The authors have additionally revised lots of the finish-of-chapter exercises to make them more challenging and to include some attention-grabbing new results. Full options to the 200 issues are included within the text, whereas full options to the entire end-of-chapter exercises can be found in a brand new Instructors' Handbook, which will be downloaded.

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