Description
Book SynopsisAn important new perspective on AFFINE AND PROJECTIVEGEOMETRY
This innovative book treats math majors and math education studentsto a fresh look at affine and projective geometry from algebraic,synthetic, and lattice theoretic points of view.
Affine and Projective Geometry comes complete with ninetyillustrations, and numerous examples and exercises, coveringmaterial for two semesters of upper-level undergraduatemathematics. The first part of the book deals with the correlationbetween synthetic geometry and linear algebra. In the second part,geometry is used to introduce lattice theory, and the bookculminates with the fundamental theorem of projectivegeometry.
While emphasizing affine geometry and its basis in Euclideanconcepts, the book:
* Builds an appreciation of the geometric nature of linear algebra
* Expands students'' understanding of abstract algebra with itsnontraditional, geometry-driven approach
* Demonstrates how one branch of mathemati
Table of ContentsAffine Planes.
Desarguesian Affine Planes.
Introducing Coordinates.
Coordinate Projective Planes.
Affine Space.
Projective Space.
Lattices of Flats.
Collineations.
Appendices.
Index.
