: Covers the transformation of coordinates, the summation convention, and the definition of tensors (covariant, contravariant, and mixed).
Limitations and caveats
Comparative positioning (concise)
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On the bus into the university the rain sketched a lattice of ripples across the windowpane. Mohan thought of manifolds—patches of land stitched together, each with its own local coordinates like neighborhoods in his childhood village. There was comfort in charts that could be sewn into a single whole, a patchwork map where every seam could be smoothed by a change of variables. : Covers the transformation of coordinates, the summation