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

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To address knowledge gaps in tensor analysis, several book recommendations emerged, including "Schaum's Outlines Vector Analysis (And An Introduction to Tensor Analysis)" for foundational concepts. Another suggested resource is "A Brief on Tensor Analysis" from the Undergraduate Texts in Mathematics series, which is noted for its clarity, especially for those with a background in General Relativity. The discussion also highlighted the interest in related topics such as exterior algebra, exterior calculus, and Clifford and Grassmann algebras. Overall, these resources aim to provide a clearer understanding of tensor algebra and its applications. Engaging with these texts can significantly enhance comprehension in the subject area.
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.
 

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