MHB What books should I read to fill my knowledge gap in tensor analysis?

Fantini
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I had a badly taught Advanced Linear Algebra course and it covered tensor algebra, resulting in a knowledge gap. What books would you recommend, if any? Exterior algebra, exterior calculus, Clifford and Grassmann algebras included wouldn't be bad ideas as well.
 
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Fantini said:
I had a badly taught Advanced Linear Algebra course and it covered tensor algebra, resulting in a knowledge gap. What books would you recommend, if any? Exterior algebra, exterior calculus, Clifford and Grassmann algebras included wouldn't be bad ideas as well.

Hi Fantini,

For a basic idea about tensors I referred, Schaum's Outlines Vector Analysis (And An Introduction to Tensor Analysis) Once I did a General Relativity course and I found A Brief on Tensor Analysis (Undergraduate Texts in Mathematics) quite good, although I didn't read it apart from the first few chapters.
 
A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.

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