Luther Pfahler Eisenhart, "An introduction to differential geometry, with use of the tensor calculus"
1940 | pages: 309 | ASIN: B002Z9DKXS | PDF | 10,4 mb
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.
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