Dynamic geometry on time scales /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Chapman and Hall/CRC,
2021.
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| Edition: | First edition. |
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| Online Access: | Connect to the full text of this electronic book |
| 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, pseudo-spherical surfaces and sigma_1, sigma_2 manifolds on time scales. |
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| Physical Description: | 1 online resource (400 pages) |
| ISBN: | 9781003205265 1003205267 9781000471168 1000471160 9781000471144 1000471144 |