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An Introduction to Differential Geometry with Use of the Tensor Calculus

Nature volume 149, pages 535536 (16 May 1942) | Download Citation



THIS book gives a thorough introductory study of the properties of ordinary points in the differential geometry of curves and surfaces in 3-space. Chapter 1 gives an account of twisted curves, Chapter 2 describes the tensor calculus. In Chapter 3 this calculus is applied to investigate the intrinsic geometry of a surface, that is to say, those properties which depend on the first fundamental form. Chapter 4 develops those properties which derive also from the second fundamental form and therefore characterize the surface as viewed from the enveloping space.

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