Here are three excellent books.

1) *Tensor Spaces and Exterior Algebra* by Takeo Yokonuma.
Translations of Mathematical Monographs, volume 108, AMS 1992

You can browse it in Google books [here][1]


2) Laurent Schwartz ( yes, the Fields medalist of distibutions fame) wrote a book, little-known even in France : *Les Tenseurs*, Hermann, 1998.  
It  is remarkably well written and contains a wealth of information not found, to my knowledge, in other books. The bad news : it is in French and not translated...

3) Finally there is an amazingly original free book by Sergei Winitzki , *Linear Algebra via Exterior Products*. Here is the [link][2]










[1]:http://books.google.fr/books?id=sgmxKCFw7nIC&printsec=frontcover&dq=yokonuma&source=bl&ots=jCql_ZyXb7&sig=PP1TRG97kPtQZcQEvBXv_zfbuIc&hl=fr&ei=xHGVS6WcG8PH4gblx5WEDQ&sa=X&oi=book_result&ct=result&resnum=3&ved=0CA0Q6AEwAg#v=onepage&q=&f=false

[2]:http://sites.google.com/site/winitzki/linalg/