Overview

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.

Full Product Details

Author:   Ilka Agricola ,  Thomas Friedrich
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated edition
Volume:   No. 43
Weight:   0.416kg
ISBN:  

9780821843475

ISBN 10:   0821843478
Pages:   243
Publication Date:   29 February 2008
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Introduction: Euclidean space Elementary geometrical figures and their properties Symmetries of the plane and of space Hyperbolic geometry Spherical geometry Bibliography List of symbols Index.

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