BOOK
Metric Affine Geometry
This textbook explores the foundations of geometry by establishing linear algebra as the primary source for the axiom systems of both affine and projective geometries. The book is organized into three distinct chapters: nonmetric affine geometry, inner products of vector spaces, and a synthesized treatment of metric affine geometry. It specifically covers concrete models for affine space, the theorem of Desargues, and similarities of affine spaces. Intended for students and geometry teachers, the text requires a background in linear and modern algebra to fully engage with its rigorous axiomatic development.
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