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