Geometry from a Differentiable Viewpoint

Rating:
Summary: Excellent text connecting classical to differential geometry
Review: This book is ideal for those with a long time interest in mathematics or the student just becoming interested in advanced topics. It successfully takes the concepts of classic geometry (Euclidean), clearly explains how the parallel postulate interacts with the other postulates and then introduces differential geometry as a natural outgrowth of hyperbolic geometry. McLeary's book succeeds by demonstrating the connection of modern differential geometry to the concepts in which we were educated. This is not a book for the casual reader, but includes many problems and solutions to the more interesting of them

Rating:
Summary: a great book!
Review: This is a great book. The author develops the differential geometry of curves and surfaces. The endpoint is the vindication of Euclid's parallel postulate. I thoroughly enjoyed reading this book. Very readable.