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.
- ISBN10 1032070781
- ISBN13 9781032070780
- Publish Date 23 December 2021 (first published 22 December 2021)
- Publish Status Active
- Publish Country GB
- Imprint Taylor & Francis Ltd
- Format Hardcover
- Pages 384
- Language English