Differential Geometry: Curves – Surfaces – Manifolds, Second Edition

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. With just the basic tools from multivariable More »