An Introduction to Differential Geometry

Suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering, this text begins with an exploration of the classical theory of curves and surfaces that employs vector methods. Subsequent topics include the basic theory of tensor algebra, tensor calculus, the calc [...]
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Suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering, this text begins with an exploration of the classical theory of curves and surfaces that employs vector methods. Subsequent topics include the basic theory of tensor algebra, tensor calculus, the calculus of differential forms, and elements of Riemannian geometry. 1959 edition.