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Differential Geometry and Tensors
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Section A: Differential Geometry: Vector Notations; Theory of Curves in Space; Envelopes and Developables; Curves on Surfaces and Fundamental Magnitudes; Curvature of Surfaces and Lines of Curvature: Local Non-Intrinsic Properties of Surface; Fundamental Equations of Surface Theory; Geodesics; Section B: Tensor: Introduction; Tensor Algebra; Tensor Calculus; Christoffel Symbols, Covariant Differentiation, and their Properties; Riemann Symbols; Geodesics, Riemannian Coordinates, Geodesic Coordinates and Parallelism of Vectors; Differentiable Manifolds and Riemannian Manifolds; Index.

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