Items related to Projective Vector Algebra: An Algebra of Vectors Independent...

Projective Vector Algebra: An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels (Classic Reprint) - Hardcover

Ludwik Silberstein

 
9780428948405: Projective Vector Algebra: An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels (Classic Reprint)

Synopsis

A vector-based look at projective geometry that keeps operations simple and coordinate-free.

This book presents an algebra of vectors that represents projective geometry without relying on the usual axioms of congruence and parallels. It shows how projective collineations can be built from a distributive vector operation followed by a straightforward translation, making complex ideas easier to handle.

  • Learn how line joins and plane equations arise directly from vector sums, without resorting to artificial coordinates.
  • See the role of the T-plane and how projective concepts connect to familiar vector algebra.
  • Explore involutoric and cyclic collineations and what they reveal about space and perspective.
  • Discover practical ways these ideas illuminate problems in projective geometry through a clean, algebraic approach.
Ideal for readers of introductory projective geometry or anyone curious about a coordinate-free, vector-based treatment of the subject.

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