http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Differential geometry is the study of curved spaces using the techniques of calculus. This introductory textbook originates from a popular course given to third-year students at Durham University for over twenty years, first by the late Lyndon Woodward and then by John Bolton (and others). It provides a thorough introduction by focusing on the beginnings of the subject as studied by Gauss.
Curves in R" -- Surfaces in R" -- Tangent planes and the first fundamental form -- Smooth maps -- Measuringhow surfaces curve -- The Theorema Egregium -- Geodesic curvature and geodesics -- The Gauss-bonnet theorem -- Minimal and CMC surfaces -- Hints or answers to some exercises.