Description 
1 online resource (400 pages) 
Contents 
1. Curves in Rn 2. General Theory of Surfaces 3. First Fundamental Forms 4. The Second Fundamental Forms 5. The Fundamental Equations of a Surface 6. Minimal Surfaces 7. The Delta Nature Connection A: Implicit Function Theorem References Index 
Summary 
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 providesthe 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, pseudospherical surfaces and \sigma_1, \sigma_2 manifolds on time scales 
Notes 
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 FixedPoint Theorems and Applications in the Theory of ODEs, FDEs and PDEs, Boundary Value Problems on Time Scales, Volume I and II, and coauthor of Conformable Dynamic Equations on Time Scales 

Title details screen 
Subject 
Curves, Plane.


Curves, Plane.


MATHEMATICS / Geometry / General

Form 
Electronic book

ISBN 
1000471144 

1000471160 

1003205267 

9781000471144 

9781000471168 

9781003205265 
