This richly illustrated and clearly written undergraduate textbook
captures the excitement and beauty of geometry. The approach is
that of Klein in his Erlangen programme: a geometry is a space
together with a set of transformations of the space. The authors
explore various geometries: affine, projective, inversive,
hyperbolic and elliptic. In each case they carefully explain the
key results and discuss the relationships between the geometries.
New features in this second edition include concise end-of-chapter
summaries to aid student revision, a list of further reading and a
list of special symbols. The authors have also revised many of the
end-of-chapter exercises to make them more challenging and to
include some interesting new results. Full solutions to the 200
problems are included in the text, while complete solutions to all
of the end-of-chapter exercises are available in a new Instructors'
Manual, which can be downloaded from
www.cambridge.org/9781107647831.
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