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An introduction to differential geometry, with use of the tensor calculus
B002Z9DKXS pdf This book covers the general equations found in differential Geometry using summation convention as well as Riemann's curvature tensor which is the conditions of integrability of a system of total differential equations with coefficients that are linear in the dependent variables it also covers curvature and torsion Fernet-Serret formulas in terms of general coordinates, geodesic torsion, geodesic curvature, normal curvature and developable surfaces and more.