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Differential Geometry: Curves - Surfaces - Manifolds, Second Edition by Wolfgang KГјhnel

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Differential Geometry: Curves - Surfaces - Manifolds, Second Edition by Wolfgang KГјhnel

Differential Geometry: Curves - Surfaces - Manifolds, Second Edition by Wolfgang KГјhnel
English | Dec 13, 2005 | ISBN: 0821839888 | 392 Pages | DJVU | 2 MB

Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $I\!\!R^3$ that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas.