Author : Svetlin G. Georgiev
Release : 2021-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 144/5 ( reviews)
Book Synopsis Dynamic Geometry on Time Scales by : Svetlin G. Georgiev
Download or read book Dynamic Geometry on Time Scales written by Svetlin G. Georgiev. This book was released on 2021-12-22. Available in PDF, EPUB and Kindle. Book excerpt: 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 provides the 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.