Synopsis
Explore the foundations of line geometry and its applications to curves and ruled surfaces. This advanced text reveals how projective methods describe space lines, complexes, and congruences for deep geometric insight.
Designed for readers with a strong math background, the book delves into homogeneous line coordinates, linear complexes, and the dual nature of line geometry. It traces historical developments from Cayley and Plücker and shows how these ideas illuminate the study of space curves and developable surfaces. The work emphasizes invariant properties under projective transformations and builds a framework for understanding ruled surfaces through complex and congruence theory.
What you’ll experience:
- Introductions to line coordinates and their geometric meaning in space
- Development of linear and higher-degree line complexes and their cones
- Connections between complexes, congruences, and the geometry of ruled surfaces
- Foundational tools for approaching projective differential geometry of curves
Ideal for readers of advanced geometry and those studying the theory of ruled surfaces and line geometry.
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Projective Differential Geometry of Curves and Ruled Surfaces (Classic Reprint)
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780266589563
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Projective Differential Geometry of Curves and Ruled Surfaces (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780266589563
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