Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry (Hardback)
Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry (Hardback)
Regular price
$49.95 USD
Regular price
Sale price
$49.95 USD
Unit price
/
per
Condition
LIKE NEW: This book is in excellent, like-new condition. It was printed on acid-free paper.Product Details
Continued from the back cover: "In particular, [this book] explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide the explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author's experience in implementing geometric software and includes hundreds of high-quality illustrations."Chapters
- Pappos's Theorem: Nine Proofs and Three Variations
- Projective Planes
- Homogeneous Coordinates
- Lines and Cross-Ratios
- Calculating with Points on Lines
- Determinants
- More on Bracket Algebra
- Quadrilateral Sets and Liftings
- Conics and Their Duals
- Conics and Perspectivity
- Calculating with Conics
- Projective d-space
- Diagram Techniques
- Working with Diagrams
- Configurations, Theorems, and Bracket Expressions
- Complex Numbers: A Primer
- The Complex Projective Line
- Euclidean Geometry
- Euclidean Structures from a Projective Perspective
- Cayley-Klein Geometries
- Measurements and Transformations
- Cayley-Klein Geometries at Work
- Circles and Cycles
- Non-Euclidean Geometry: A Historical Interlude
- Hyperbolic Geometry
- Selected Topics in Hyperbolic Geometry
- What We Did Not Touch
Share
PUBLISHER: Springer
ISBN-13: 9783642172854
ISBN-10: 3642172857