Includes bibliographical references (pages [363]-364) and index.
pt. 1. A cultural heritage -- 1. Early beginnings -- 2. The great river civilizations -- 3. Greek and Hellenic geometry -- 4. Geometry in the Hellenistic era -- 5. The geometry of yesterday and today -- 6. Geometry and the real world -- pt. 2. Introduction to geometry -- 7. Axiomatic geometry -- 8. Axiomatic projective geometry -- 9. Models for non-Euclidian geometry -- 10. Making things precise -- 11. Projective space -- 13. Geometry in the affine and the projective plane -- Algebraic curves of higher degrees in the affine plane -- 14. Higher geometry in the projective plane -- 15. Sharpening the sword of algebra -- 16. Constructions with straightedge and compass -- 17. Fractal geometry -- 18. Catastrophe theory