Tensor Calculus 12: The Metric Tensor in Curved Spaces for Measuring Arc Length

Описание к видео Tensor Calculus 12: The Metric Tensor in Curved Spaces for Measuring Arc Length

ERROR: Throughout the video, I use dR/du and dR/dv. These should be partial derivatives, not full derivatives.

First video on the metric tensor (vector length):    • Tensors for Beginners 9: The Metric T...  
Second video on the metric tensor (arc length in flat space):    • Tensor Calculus 11: The Metric Tensor...  
Course notes on Differential Geometry: http://liavas.net/courses/math430/
Why derivative operators are vectors:    • Tensor Calculus 5.1: Derivative Opera...  

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