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Mathematics : Projective Geometry

Lord, Eric Symmetry and Pattern in Projective Geometry

Provides a self-contained and easy-to-read introduction to projective geometry Compares and contrasts both analytic and synthetic methods Makes accessible subjects and theorems which are often considered quite complicated Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods. The analytic approach is based on homogeneous coordinates, and brief introductions to Plücker coordinates and Grassmann coordinates are presented. This book looks carefully at linear, quadratic, cubic and quartic figures in two, three and higher dimensions. It deals at length with the extensions and consequences of basic theorems such as those of Pappus and Desargues. The emphasis Springer throughout is on special configurations that have particularly interesting symmetry properties. 2013, XI, 184 p. 103 illus., The intricate and novel ideas of ‘Donald’ Coxeter, who is considered one of the great geometers 1st 20 illus. in color. of the twentieth century, are also discussed throughout the text. The book concludes with a edition useful analysis of finite geometries and a description of some of the remarkable configurations discovered by Coxeter. This book will be appreciated by mathematics students and those wishing to learn more about the subject of geometry. It makes accessible subjects and Printed book theorems which are often considered quite complicated and presents them in an easy-to-read Softcover and enjoyable manner. Printed book Softcover Order online at springer.com/booksellers ISBN 978-1-4471-4630-8 Springer Nature Customer Service Center LLC $ 59,99 233 Spring Street New York, NY 10013 Available USA Discount group T: +1-800-SPRINGER NATURE Professional Books (2) (777-4643) or 212-460-1500 Product category [email protected] Undergraduate textbook Other renditions Softcover ISBN 978-1-4471-4632-2

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ISBN 978-1-4471-4630-8 / BIC: PBM / SPRINGER NATURE: SCM21050 Part of