Projective Differential Geometry of Curves and Ruled Surfaces - Softcover

E. J. Wilczynski

 
9781330379356: Projective Differential Geometry of Curves and Ruled Surfaces

Synopsis

This book investigates projective differential geometry, a discipline at the intersection of projective geometry and differential geometry. The author presents an explicit distinction between metrical and projective geometry, highlighting that projective differential geometry is concerned with projective properties of infinitesimal elements. The theorems in this field are related to projective properties of the configuration as a whole, and integration may lead to statements about the configuration's properties. The author's approach and results differ from those presented in other texts on the subject, particularly in the treatment of ruled surfaces. This book also includes numerous examples and suggested further investigations, making it a valuable resource for researchers and students alike. The author's work contributes to the development and understanding of projective differential geometry and its applications to ruled surfaces.

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