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Beskrivning
This book develops the geometric intuition of the reader by examining the symmetries of the space in question. This approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. Pre-requisites are calculus, linear algebra and basic analytic geometry.
From the reviews: "This book offers an introduction to classical geometry. ... The book contains many figures, which help the reader to develop geometric intuition, and lots of exercises. To follow the presentation, only a basic background in analysis and linear algebra is required, some necessary facts are collected in an appendix." (A. Cap, Monatshefte fur Mathematik, Vol. 158 (2), October, 2009)