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The author introduces the main conceptions for multiplicative surfaces: multiplicative first fundamental form, the main multiplicative rules for differentiations on multiplicative surfaces, and the main multiplicative regularity conditions for multiplicative surfaces. Many examples and problems are included.
List of contents
1. Elements of the Multiplicative Euclidean Geometry
2. Multiplicative Curves in Rn
3. Multiplicative Plane Curves
4. General Theory of Multiplicative Surfaces
5. Multiplicative Fundamental Equations of a Multiplicative Surface
6. Special Classes of Multiplicative Surfaces
7. Multiplicative Differential Forms
8. The Multiplicative Nature Connection
9. Multiplicative Riemannian Manifolds
10. The Multiplicative Curvature Tensor
Appendix A. The Multiplicative Lipschitz Condition
Appendix B. The Multiplicative Implicit Function Theorem
About the author
Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He is also the author of Dynamic Geometry of Time Scales, CRC Press. He is a co-author of Conformable Dynamic Equations on Time Scales, with Douglas R. Anderson, and also: Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDE; Boundary Value Problems on Time Scales, Volume 1 and Volume II, all with Khalid Zennir and published by CRC Press.
Summary
The author introduces the main conceptions for multiplicative surfaces: multiplicative first fundamental form, the main multiplicative rules for differentiations on multiplicative surfaces, and the main multiplicative regularity conditions for multiplicative surfaces. Many examples and problems are included.
