Dover Publications, 2012. — 416 pages. (Dover Books on Mathematics) ISBN: 0486498514
This richly detailed overview surveys the evolution of geometrical ideas and the development of the concepts of modern geometry from ancient times to the present. Topics include projective, Euclidean, and non-Euclidean geometry as well as the role of geometry in Newtonian physics, calculus, and relativity. Over 100 exercises with answers. 1966 edition.
One Book and Three Metaphors
Geometry Before Euclid
Euclid's Geometry
Geometry via Numbers
Geometry via Arrows
Geometry via Reflections
Geometry in Newtonian Physics
Non-Euclidean Geometry
The Calculus and Geometry
Projective Geometry
Geometry in Relativity Physics
Geometry Generalized
Geometry and Algebra
Answers to Exercises