Symmetry and Pattern in Projective Geometry
Eric Lord
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Description for Symmetry and Pattern in Projective Geometry
Paperback.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer London Ltd United Kingdom
Number of pages
189
Condition
New
Number of Pages
184
Place of Publication
England, United Kingdom
ISBN
9781447146308
SKU
V9781447146308
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Symmetry and Pattern in Projective Geometry
From the reviews: “Here, readers meet a slice of geometry, intermediate between elementary Euclidean and modern algebraic, where first come the objects, extraordinary, surprising, and intriguing. By meeting and literally seeing these special objects, specifically linear configurations and various projective varieties of low dimension and low degree, undergraduates can
perhaps for the first time
really experience mathematics as a phenomenological science. ... Read more
perhaps for the first time
really experience mathematics as a phenomenological science. ... Read more