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OverviewThis 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. Full Product DetailsAuthor: Svetlin G. GeorgievPublisher: Taylor & Francis Ltd Imprint: Chapman & Hall/CRC Weight: 0.684kg ISBN: 9781032070780ISBN 10: 1032070781 Pages: 384 Publication Date: 23 December 2021 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. 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 . Appendix A: A: Implicit Function Theorem References IndexReviewsAuthor InformationSvetlin 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. Tab Content 6Author Website:Countries AvailableAll regions |
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