This book provides a rigorous introduction to the foundations of both Euclidean and non-Euclidean geometry. Richard L. Faber develops the axiomatic structure of geometric systems and examines the differences between classical Euclidean geometry and alternative geometries. The text is suitable for advanced students and focuses on logical reasoning, proofs, and the theoretical basis of Geometry.
This book provides a comprehensive introduction to non-Euclidean geometry, exploring geometrical systems that differ from classical Euclidean assumptions. H. S. M. Coxeter presents the foundations of hyperbolic and elliptic geometries, along with their historical development and mathematical significance. The text is known for its clear exposition and rich geometric insight, making it valuable …