Dynamic Geometry on Time Scales - Hardcover

Georgiev, Svetlin G.

Hardcover

ISBN 10: 1032070781 ISBN 13: 9781032070780

Publisher: Chapman and Hall/CRC, 2021

Synopsis

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.

About this title

About the Author

Svetlin G. Georgiev (born 05 April 1974, Rouse, Bulgaria) is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, dynamic calculus on time scales. He is the author of several books for CRC Press, including Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs, Boundary Value Problems on Time Scales, Volume I and II, and co-author of Conformable Dynamic Equations on Time Scales.

From the Back Cover

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.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2021
• Language: English
• ISBN 10: 1032070781
• ISBN 13: 9781032070780
• Binding: Hardcover
• Edition number: 1
• Number of pages: 384