About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 123. Chapters: Sphere, Mobius strip, Klein bottle, Surface, Torus, Spheroid, Genus, Ellipsoid, Plane, Roman surface, Boy's surface, Quadric, Steiner surface, Pseudosphere, Hyperboloid, Paraboloid, Surface normal, Bezier triangle, Bezier surface, Differential geometry of surfaces, Riemannian connection on a surface, Orientability, Real projective plane, Introduction to systolic geometry, Sine-Gordon equation, Gauss-Codazzi equations, Parametric surface, Gaussian curvature, Computer representation of surfaces, Cone, Caratheodory conjecture, Gaussian surface, Ruled surface, Principal curvature, Freeform surface modelling, Nielsen-Thurston classification, Cylinder, Seifert surface, Mean curvature, Dupin cyclide, Backlund transform, Systoles of surfaces, Surface of revolution, Superformula, First fundamental form, Theorema Egregium, Morin surface, Gauss map, Archard equation, Cross-cap, Willmore energy, Conical surface, Standard torus, Developable surface, Prolate spheroid, PDE surface, Filling area conjecture, Helicoid, Oblate spheroid, Euler's theorem, Umbilical point, Seashell surface, Plucker's conoid, Spring, Pinched torus, Whitney umbrella, Saddle surface, Dini's surface, Willmore conjecture, Asymptotic curve, Catalan surface, Unduloid, Monkey saddle, Index ellipsoid, Circular surface, Focaloid, Right conoid, Nadirashvili surface, Focal surface, Prufer manifold, Asperity, Weierstrass-Enneper parameterization, Dupin indicatrix, Triple torus, Wallis's conical edge, Biharmonic Bezier surface, Zoll surface, Homoeoid, Equipotential surface, Breather surface, List of surfaces, Channel surface, Ridge, Liouville surface, Bonnet theorem, Tangent developable, Klein surface, Bicone, Bryant surface, Nodoid. Excerpt: In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most ofte...