In this video, I go over concepts related to coordinate transformations and curvilinear coordinates. I begin with a discussion on coordinate transformations, after which I move on to curvilinear coordinates.
I give 3 important examples of curvilinear coordinates: polar, cylindrical, and spherical. Afterwards, I finish the video by defining the Jacobian matrix and its determinant, the Jacobian.
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Pre-reqs: The previous videos in the playlist - • Tensor Calculus
Lecture Notes: https://drive.google.com/open?id=1rrd...
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