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第16講 The Intrinsic Geometry of Surfaces: Fundamental Theorem of Surface
課程影音
L16A
L16A
1. Review: Gauss’s Theorema Egregium
2. Counterexample: The Converse of Gauss’s
Theorema Egregium Is Not True
L16B
1. Counterexample: The Converse of Gauss’s
Theorema Egregium Is Not True (cont.)
2. Theorem: Fundamental Theorem of Surface
(Bonnet)
L16C
1. Example: Is There a Regular Surface with the Given
Differentiable Functions E, F, G, e, f, g
1. Review: Gauss’s Theorema Egregium
2. Counterexample: The Converse of Gauss’s
Theorema Egregium Is Not True
L16B
1. Counterexample: The Converse of Gauss’s
Theorema Egregium Is Not True (cont.)
2. Theorem: Fundamental Theorem of Surface
(Bonnet)
L16C
1. Example: Is There a Regular Surface with the Given
Differentiable Functions E, F, G, e, f, g