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Differential Geometry
by William C. Graustein

ISBN: 0486450112
Dover Publications Price: $14.95
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This first course in differential geometry presents the fundamentals of the metric differential geometry of curves and surfaces in a Euclidean space of 3 dimensions, using vector notation and technique. It also introduces Riemannian geometry. Written by a noted mathematician, the text presupposes a knowledge of calculus. Nearly 200 problems. 1935 edition.
Unabridged republication of the 1966 Dover edition.

Table of Contents for Differential Geometry
1. Introduction
2. Space Curves
3. Curves and Surfaces Associated with a Space Curve
4. Fundamentals of the Theory of Surfaces
5. Curvature. Important Systems of Curves
6. The Fundamental Theorem
7. Geodesic Curvature. Geodesics
8. Mapping of Surfaces
9. The Absolute Geometry of a Surface
10. Surfaces of Special Type
Index

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