Elementary Geometry (Student Mathematical Library)

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9780821843475: Elementary Geometry (Student Mathematical Library)

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. This largely self-contained book provides a much deeper understanding of familiar topics, as well as an introduction to new topics that complete the picture of two-dimensional geometries. For undergraduate mathematics students the book will be an excellent introduction to an advanced point of view on geometry. For mathematics teachers it will be a valuable reference and a source book for topics for projects. The book contains over 100 figures and scores of exercises. It is suitable for a one-semester course in geometry for undergraduates, particularly for mathematics majors and future secondary school teachers.

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Review:

The book is nicely written, with numerous figures, and the material in the book is organized systematically. It can be widely used by university students and teachers. --EMS Newsletter

...comprehensive in scope, uncovering key ideas ranging from Euclidean geometry to transformations to affine systems to non-Euclidean geometries. ...The authors neither cut corners nor 'wave' at neat ideas; rather, they try to connect everything via a quite rigorous development, complete with well-chosen exercises. --CHOICE Reviews

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Ilka Agricola and Thomas Friedrich
Editorial: American Mathematical Society (2008)
ISBN 10: 0821843478 ISBN 13: 9780821843475
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Descripción American Mathematical Society, 2008. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821843478

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Ilka Agricola, Thomas Friedrich
Editorial: American Mathematical Society, United States (2008)
ISBN 10: 0821843478 ISBN 13: 9780821843475
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Descripción American Mathematical Society, United States, 2008. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821843475

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Ilka Agricola and Thomas Friedrich
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Descripción American Mathematical Society, 2008. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0821843478

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Ilka Agricola, Thomas Friedrich
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Descripción American Mathematical Society, United States, 2008. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821843475

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Ilka Agricola and Thomas Friedrich
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Descripción American Mathematical Society, 2008. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110821843478

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Agricola, Ilka/ Friedrich, Thomas/ Spain, Philip G. (Translator)
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ISBN 10: 0821843478 ISBN 13: 9780821843475
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Descripción Amer Mathematical Society, 2008. Paperback. Estado de conservación: Brand New. english ed edition. 243 pages. 8.25x5.50x0.75 inches. In Stock. Nº de ref. de la librería __0821843478

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Agricola, Ilka; Friedrich, Thomas
Editorial: American Mathematical Society
ISBN 10: 0821843478 ISBN 13: 9780821843475
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Descripción American Mathematical Society. PAPERBACK. Estado de conservación: New. 0821843478 New Condition. Nº de ref. de la librería NEW7.1355915

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