1 Axiomatic Systems and Finite Geometries.- 2 Non-Euclidean Geometry.- 3 Geometric Transformations of the Euclidean Plane.- 4 Projective Geometry.- 5 Chaos to Symmetry: An Introduction to Fractal Geometry.- Appendices.- B Hilbert's Axioms for Plane Geometry.- C Birkhoff's Postulates for Euclidean Plane Geometry.- D The SMSG Postulates for Euclidean Geometry.- E Some SMSG Definitions for Euclidean Geometry.- F The ASA Theorem.- References.
Second Edition J. N. Cederberg A Course in Modern Geometries "Cederberg's book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one's patience . . . I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most." -THE UMAP JOURNAL