Perspectives on Projective Geometry

Perspectives on Projective Geometry

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Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the authora€™s experience in implementing geometric software and includes hundreds of high-quality illustrations.What started as a small and seemingly simple project turned out to be a task that is still occupying quite a substantial fraction of my research time. The original ... The user should be able to use the mouse to construct geometric configurations containing points, lines, circles, conics, etc. After the ... Applications, beauty, pictures, and formulas: This book is intended to serve two purposes. On the one hand, anbsp;...

Title:Perspectives on Projective Geometry
Author: Jürgen Richter-Gebert
Publisher:Springer Science & Business Media - 2011-02-04

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