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Lectures in Projective Geometry (Dover Books on Mathematics)
An ideal text for undergraduate courses in projective geometry, this volume begins on familiar ground. It starts by employing the leading methods of projective geometry as an extension of high school-level studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach. An introductory chapter leads to discussions of projective geometry's axiomatic foundations: establishing coordinates in a plane relations between the basic theorems higher-dimensional space and conics. Additional topics include coordinate systems and linear transformations an abstract consideration of coordinate systems an analytical treatment of conic sections coordinates on a conic pairs of conics quadric surfaces and the Jordan canonical form. Numerous figures illuminate the text. Read more