http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
This book introduces plane curves on time scales. They are deducted the Frenet equations for plane and space curves. In the book is presented the basic theory of surfaces on time scales. They are defined tangent plane, sigma_1 and sigma_2 tangent planes, normal, sigma_1 and sigma_2 normals to a surface. They are introduced differentiable maps and differentials on surface. This book providesthe first and second fundamental forms of surfaces on time scales. They are introduced minimal surfaces and geodesics on time scales. In the book are studied the covaraint derivatives on time scales, pseudo-spherical surfaces and sigma_1, sigma_2 manifolds on time scales.
1. Curves in Rn 2. General Theory of Surfaces 3. First Fundamental Forms 4. The Second Fundamental Forms 5. The Fundamental Equations of a Surface 6. Minimal Surfaces 7. The Delta Nature Connection A: Implicit Function Theorem References Index