Working from their one-semester lecture course for future teachers at Humboldt-U. in Berlin, Agricola and Friedrich give a solid background while also providing resources for teachers to use in the classroom and ideas for further research by students. They cover the basics of Euclidean space, elementary geometrical figures and their properties, symmetries of the plane and of space (including affine mappings and centroids, projections, central dilations and translations, plane transformations and discrete and finite subgroups), hyperbolic geometry (including the Poincaré and disc models) and spherical geometry. The authors include exercises for each chapter and a concise bibliography. Readers should have completed a first-year course in linear algebra and calculus. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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