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Dynamic Geometry on Time Scales

Dynamic Geometry on Time Scales
  • Author: Svetlin G. Georgiev
  • Publisher: CRC Press
  • ISBN: 1032070781
  • Category:
  • Page: 400
  • View: 145

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.

More Books:

Dynamic Geometry on Time Scales
Language: en
Pages: 400

Dynamic Geometry on Time Scales

Authors: Svetlin G. Georgiev
Categories:
Type: BOOK - Published: 2021-11-04 - Publisher: CRC Press

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.
Dynamic Geometry on Time Scales
Language: en
Pages: 396

Dynamic Geometry on Time Scales

Authors: Svetlin G. Georgiev
Categories: Mathematics
Type: BOOK - Published: 2021-12-23 - Publisher: CRC Press

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.
Multiplicative Differential Geometry
Language: en
Pages: 176

Multiplicative Differential Geometry

Authors: Svetlin G. Georgiev
Categories: Mathematics
Type: BOOK - Published: 2022-07-12 - Publisher: CRC Press

This book introduces multiplicative Frenet curves. We define multiplicative tangent, multiplicative normal, and multiplicative normal plane for a multiplicative Frenet curve. We investigate the local behaviours of a multiplicative parameterized curve around multiplicative biregular points, define multiplicative Bertrand curves and investigate some of their properties. A multiplicative rigid motion is
Multiplicative Differential Calculus
Language: en
Pages: 206

Multiplicative Differential Calculus

Authors: Svetlin Georgiev, Khaled Zennir
Categories: Mathematics
Type: BOOK - Published: 2022 - Publisher: Chapman & Hall/CRC

This book is devoted to the multiplicative differential calculus. Its seven pedagogically organized chapters summarize the most recent contributions in this area, concluding with a section of practical problems to be assigned or for self-study. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are
Dynamic Inequalities On Time Scales
Language: en
Pages: 256

Dynamic Inequalities On Time Scales

Authors: Ravi Agarwal, Donal O'Regan, Samir Saker
Categories: Mathematics
Type: BOOK - Published: 2014-10-30 - Publisher: Springer

This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book

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