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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Paperback. Zustand: new. Paperback. Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. Agricola and Friedrich revisit geometry, but from the higher viewpoint of university mathematics. Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries by their number of fixed points. Complex numbers are introduced to provide an alternative, very elegant approach to plane geometry. The authors then treat spherical and hyperbolic geometries, with special emphasis on their basic geometric properties. Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. This book revisits geometry, but from the higher viewpoint of university mathematics. It is suitable for a one-semester course in geometry for undergraduates. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780821843475
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Zustand: New. Elementary geometry provides the foundation of modern geometry. For the most part, the standard introductions end at the formal Euclidean geometry of high school. This book revisits geometry, but from the higher viewpoint of university mathematics. It is suitable for a one-semester course in geometry for undergraduates. Series: Student Mathematical Library. Num Pages: 243 pages, Illustrations (some col.). BIC Classification: PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 416. . 2008. Paperback. . . . . Bestandsnummer des Verkäufers V9780821843475
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