Introduction to Differential Geometry (Dover Publications Inc.)

Preface I. The Theory of Space curves II. The Metric: Local Intrinsic Properties of a Surface III. The Second Fundamental Form: Local Non-Intrinsic Properties of a Surface IV. Differential Geometry of Surfaces in the Large V. Tensor Algebra VI. Tensor Calculus VII. Riemannian Geometry VIII. Applications of Tensor Methods to Surface Theory Exercises Suggestions for Further Reading Index