Linear Algebra And Projective Geometry

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. These focus on the representation of projective geometries by linear manifolds, of projectivities by semilinear transformations, of collineations by linear transformations, and of dualities by semilinear forms. These theorems lead to a reconstruction of the geometry that constituted the discussion's starting point, within algebraic structures such as the endomorphism ring of the underlying manifold or the full linear group. 1952 ed. Appendix. Bibliography. Index.Baer, Reinhold is the author of 'Linear Algebra And Projective Geometry ', published 2005 under ISBN 9780486445656 and ISBN 0486445658.