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Symmetry and Pattern in Projective Geometry
Taschenbuch von Eric Lord
Sprache: Englisch

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Beschreibung
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 throughout is on special configurations that have particularly interesting symmetry properties.

The intricate and novel ideas of ¿Donald¿ Coxeter, who is considered one of the great geometers of the twentieth century, are also discussed throughout the text. The book concludes with a 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 theorems which are often considered quite complicated and presents them in an easy-to-read and enjoyable manner.
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 throughout is on special configurations that have particularly interesting symmetry properties.

The intricate and novel ideas of ¿Donald¿ Coxeter, who is considered one of the great geometers of the twentieth century, are also discussed throughout the text. The book concludes with a 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 theorems which are often considered quite complicated and presents them in an easy-to-read and enjoyable manner.
Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis

Foundations: the Synthetic Approach.- The Analytic Approach.- Linear Figures.- Quadratic Figures.- Cubic Figures.- Quartic Figures.- Finite Geometries.

Details
Erscheinungsjahr: 2012
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
184 S.
83 s/w Illustr.
20 farbige Illustr.
184 p. 103 illus.
20 illus. in color.
ISBN-13: 9781447146308
ISBN-10: 1447146301
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Lord, Eric
Hersteller: Springer London
Springer-Verlag London Ltd.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Eric Lord
Erscheinungsdatum: 14.12.2012
Gewicht: 0,342 kg
Artikel-ID: 106311541
Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis

Foundations: the Synthetic Approach.- The Analytic Approach.- Linear Figures.- Quadratic Figures.- Cubic Figures.- Quartic Figures.- Finite Geometries.

Details
Erscheinungsjahr: 2012
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
184 S.
83 s/w Illustr.
20 farbige Illustr.
184 p. 103 illus.
20 illus. in color.
ISBN-13: 9781447146308
ISBN-10: 1447146301
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Lord, Eric
Hersteller: Springer London
Springer-Verlag London Ltd.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Eric Lord
Erscheinungsdatum: 14.12.2012
Gewicht: 0,342 kg
Artikel-ID: 106311541
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