ENGLISH

Dynamic Geometry on Time Scales

By Svetlin G. Georgiev

Book information

Publisher
Chapman and Hall/CRC
Year
2021
ISBN
9781032070780, 9781032070803, 9781003205265, 1032070781
Language
english
Format
PDF
Filesize
6 MB (6012467 bytes)
Pages
384\397
Library
Mobilism
Time added
2023-11-03 11:50:16

Description

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.

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