Differential Geometry

Beginning with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, this book leads to an introduction to the Riema... » 

Beginning with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, this book leads to an introduction to the Riemannian geometry of general manifolds, including a look at Einstein spaces. It helps us learn about line and surface integrals, divergence and curl, and the various forms of Stokes'Theorem. «