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Indicial Notation and Tensor ComponentsCovers the manipulation of indicial notation and tensor components, focusing on concepts such as indical notation, free indices, contraction, and the dot product.
Tensor Product: Bilinear MapsCovers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Metric Tensor: DefinitionExplores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Tensors & Indices RecapCovers the basics of tensors and indices, including contravariant vectors and tensor operations.