Geometry by David A. Brannan,Matthew F. Esplen,Jeremy J. Gray

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

This richly illustrated and obviously written undergraduate textbook captures the buzz and sweetness of geometry. The technique is that of Klein in his Erlangen programme: a geometry is an area including a collection of alterations of the distance. The authors discover a number of 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 positive factors during this moment variation contain concise end-of-chapter summaries to assist pupil revision, an inventory of additional interpreting and a listing of specific symbols. The authors have additionally revised the various end-of-chapter routines to lead them to more difficult and to incorporate a few fascinating new effects. complete suggestions to the two hundred difficulties are integrated within the textual content, whereas entire recommendations to all the end-of-chapter workouts come in a brand new teachers' guide, that are downloaded from www.cambridge.org/9781107647831.

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