Perspectives on Projective Geometry : A Guided Tour Through Real and Complex Geometry
Overview
1 Pappos's Theorem: Nine Proofs and Three Variations.- 2 Projective Planes.- 3 Homogeneous Coordinates.- 4 Lines and Cross-Ratios.- 5 Calculating with Points on Lines.- 6 Determinants.- 7 More on Bracket Algebra.- 8 Quadrilateral Sets and Liftings.- 9 Conics and Their Duals.- 10 Conics and Perspectivity.- 11 Calculating with Conics.- 12 Projective $d$-space.- 13 Diagram Techniques.- 14 Working with diagrams.- 15 Configurations, Theorems, and Bracket Expressions.- 16 Complex Numbers: A Primer.- 17 The Complex Projective Line.- 18 Euclidean Geometry.- 19 Euclidean Structures from a Projective Perspective.- 20 Cayley-Klein Geometries.- 21 Measurements and Transformations.- 22 Cayley-Klein Geometries at Work.- 23 Circles and Cycles.- 24 Non-Euclidean Geometry: A Historical Interlude.- 25 Hyperbolic Geometry.- 26 Selected Topics in Hyperbolic Geometry.- 27 What We Did Not Touch.- References.- Index.
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Details
- ISBN-13: 9783662519585
- ISBN-10: 3662519585
- Publisher: Springer
- Publish Date: August 2016
- Dimensions: 9.21 x 6.14 x 1.21 inches
- Shipping Weight: 1.81 pounds
- Page Count: 571
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