Cover Page; Half title Page; Title Page; Copyright Page; Preface to the Second Edition; Preface to the Third Edition; Chapter Scheme; Full Contents; 1 Curves in the Plane; 2 Famous Plane Curves; 3 Alternative Ways of Plotting Curves; 4 New Curves from Old; 5 Determining a Plane Curve from Its Curvature; 6 Global Properties of Plane Curves; 7 Curves in Space; 8 Construction of Space Curves; 9 Calculus on Euclidean Space; 10 Surfaces in Euclidean Space; 11 Nonorientable Surfaces; 12 Metrics on Surfaces; 13 Shape and Curvature; 14 Ruled Surfaces; 15 Surfaces of Revolution and Constant Curvature
16 A Selection of Minimal Surfaces17 Intrinsic Surface Geometry; 18 Asymptotic Curves and Geodesics on Surfaces; 19 Principal Curves and Umbilic Points; 20 Canal Surfaces and Cyclides of Dupin; 21 The Theory of Surfaces of Constant Negative Curvature; 22 Minimal Surfaces via Complex Variables; 23 Rotation and Animation Using Quaternions; 24 Differentiate Manifolds; 25 Riemannian Manifolds; 26 Abstract Surfaces and Their Geodesics; 27 The Gauss-Bonnet Theorem; Bibliography; Name Index; Subject Index; Notebook Index
