Title: Projective Differential Geometry of Curves and Ruled Surfaces (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0266589561
ISBN 13: 9780266589563
Binding: HRD
Condition: New
Weight: 648 grams

About this title

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 Pl�cker 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.

"About this title" may belong to another edition of this title.

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