Differential Geometry
37 videos • 6,205 views • by Maham Mathematician
1
Arc length of a parameter||In the form of S and T variable||Differential Geometry Part 01
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2
Arc length of a parameter||In the form of S and T variable||Differential Geometry Part 02
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3
Arc length of a parameter||Representation is not unique||Differential Geometry Part 03
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4
Arc length of a parameter||Representation is not unique||Theorem3.4||Differential Geometry Part 04
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5
Arc length of a parameter with example||Theorem3.4||Differential Geometry Part 05
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6
Arc length of a parameter||Example (3.15)||Differential Geometry Part 01
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7
Arc length of a parameter||Example (3.15+3.16)||Differential Geometry Part 02
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8
Arc length of a parameter||Example (3.16)||when x divides into 2 components||DG Part 03
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9
Arc length of a parameter||Example (3.16)||when x divides into 2 components||DG Part 04
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10
Arc length of a parameter||Example (3.16)||when x divides into 2 components||DG Part 05
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11
Curvature and torsion||Unit tangent vector in form of natural representation or simple||DG Part 01
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12
Curvature and torsion||Unit tangent vector uniqueness form||Differential Geometry Part 02
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13
Curvature and torsion||Unit tangent vector||Example#4.1||Differential Geometry Part 03
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14
Curvature and torsion||Unit tangent vector||In the form of Xo and X'||Differential Geometry Part 04
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15
Curvature and torsion||relation btw .& ' in unit tangent vector||Tangent line& normal plane Part 01
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16
Curvature and torsion||Normal line equation||Exercise#4.2||Differential Geometry Part 02
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17
Curvature and torsion||Normal line equation||Exercise#4.3||Differential Geometry Part 03
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18
Curvature and torsion||Example#4.4||When curvature is zero||Differential Geometry Part 04
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19
Curvature and torsion||Tangent line and normal plane||Question#4.1||Differential Geometry Part 01
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20
Curvature and torsion||Find the intersection of x1,x2 plane and tangent line to the helix||Q#4.2||DG
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21
Curvature and torsion||When tangent line along a vector given find constant angle||Question#4.3||DG
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22
Curvature and torsion||Find the curvature vector and its magnitude||Question#4.5||DG Part 04
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23
Curvature and torsion||Principal normal unit vector||In form of curvature||DG Part 01
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24
Curvature and torsion||Example#4.7||Principal normal||Osculating plane||DG Part 02
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25
Curvature and torsion||Binomial moving Trihedron||Detail with logical explanation||DG Part 01
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26
Curvature and torsion||Binomial moving Trihedron||Example#4.8 binormal vector||DG Part 02
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27
Curvature and torsion||Torsion||Binormal, Tangent and normal vector||Differential Geometry Part 01
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28
Curvature and torsion||Torsion||Example#4.9||Spherical indicatrices||Differential Geometry Part 02
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29
Curvature and torsion||Curvature||Exercise #4.6||Differential Geometry Part 01
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30
Curvature and torsion||Formula proof Curvature||Exercise #4.7||Differential Geometry Part 02
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31
Curvature and torsion||Torsion||Exercise #(4.16-4.18)||Differential Geometry Part 03
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32
Second Fundamental form||Detail with logical explanation||Differential Geometry Part 01
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33
Second fundamental form||Solved examples (9.7-9.10)||Differential Geometry Part 02
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34
Second fundamental form||Norm Curvature||Detail with logical explanation||DG Part 03
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35
Fundamental Forms||Normal curvature||Examples#(9.7,9.12,9.17)||Differential Geometry
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36
Solved Problems||Q#(9.3)||Show that the curve intersect the generating lines at constant angle||DG
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37
Solved Problems||Q#(9.11)||Prove that a surface lies on one side of the tangent||DG Part 02
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