David A. Brannan,Matthew F. Esplen,Jeremy J. Gray's Geometry PDF

By David A. Brannan,Matthew F. Esplen,Jeremy J. Gray

ISBN-10: 1107647835

ISBN-13: 9781107647831

This richly illustrated and obviously written undergraduate textbook captures the buzz and wonder of geometry. The procedure is that of Klein in his Erlangen programme: a geometry is an area including a collection of alterations of the distance. The authors discover numerous geometries: affine, projective, inversive, hyperbolic and elliptic. In every one case they rigorously clarify the major effects and speak about the relationships among the geometries. New good points during this moment version comprise concise end-of-chapter summaries to assist pupil revision, a listing of extra studying and a listing of specific symbols. The authors have additionally revised a number of the end-of-chapter routines to cause them to more difficult and to incorporate a few fascinating new effects. complete strategies to the two hundred difficulties are incorporated within the textual content, whereas entire ideas to all the end-of-chapter routines are available a brand new teachers' handbook, which are downloaded from www.cambridge.org/9781107647831.

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