What's a good reference to study multilinear algebra?

linear-algebra reference-request book-recommendation multilinear-algebra

I recommend Greub's book. It has excellent coverage of the subject and does not cost the gross national product of some small country.


A. Iozzi, Multilinear Algebra and Applications. Concise (100 pages), very clear explanation.


The first two chapters of "Tensors: Geometry and Applications" by Landsberg, for inspiration.


For basic introduction, I strongly recommend Chern's "Lecture on Differential Geometry". I think it really inspiring. For extension, you may be interested in Clifford or geometric algebra which extends (multi-)linear algebra and everything doesn't care about its coordinate. Then Hestenes's book is quite appropriate.

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