Geometry: Our Cultural Heritage

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Early Beginnings....Pages 3-6
The Great River Civilizations....Pages 7-29
Greek and Hellenic Geometry....Pages 31-73
Geometry in the Hellenistic Era....Pages 75-172
Arabic Mathematics and Geometry....Pages 173-210
The Geometry of Yesterday and Today....Pages 211-240
Geometry and the Real World....Pages 241-249
Front Matter....Pages 251-251
Axiomatic Geometry....Pages 253-263
Axiomatic Projective Geometry....Pages 265-282
Models for Non-Euclidian Geometry....Pages 283-298
Making Things Precise....Pages 299-311
Projective Space....Pages 313-323
Geometry in the Affine and the Projective Plane....Pages 325-350
Algebraic Curves of Higher Degrees in the Affine Plane $$\\mathbb{R}^2$$ ....Pages 351-366
Higher Geometry in the Projective Plane....Pages 367-396
Sharpening the Sword of Algebra....Pages 397-412
Constructions with Straightedge and Compass....Pages 413-433
Fractal Geometry....Pages 435-439
Catastrophe Theory....Pages 441-444
General Polyhedra and Tessellations, and Their Groups of Symmetry....Pages 445-481
Front Matter....Pages 251-251
Hints and Solutions to Some of the Exercises....Pages 483-501
Back Matter....Pages 503-519