Perspectives on Projective Geometry
Subtitle: A Guided Tour Through Real and Complex Geometry
By: by Jürgen Richter-Gebert
Contributors: SpringerLink (Online service)
Publisher: Springer-Verlag Berlin Heidelberg
Published: 2011
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 593
ISBN-13: 9783642172854; 9783642172861
Subjects: Mathematics; Visualization; Discrete groups; Algebra; Geometry; Algorithms
Description: 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 author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.