Download the Course of Linear Algebra and Multidimensional Geometry from the following web page:

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Download the Course of Differential Geometry from the following web page:

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AmS-TeX source is attached in ZIP-file:

These look a lot like advertisements to me.

Do you have something you want to discuss here, Ruslan?

I think all the books he's advertising are free though.

It might be a good idea to supply .pdf or .dvi options instead of just the ams-tex files, for those lacking tex-ing ability. The files will be a little larger, but it might encourage more people to give them a try.

I had only a brief look at the lin. alg. book. I do like the approach of leaping right into the theoretical guts of linear algebra rather than dinking around with matrices and systems of linear equations first. There aren't enough intro texts that use this tactic, as I think it frightens many first year students. The dinking around method is sneakier though, the first month or so lulls them into a sense of complacency then they are bombarded with what is often their first real taste of abstract math. Anyways, I always appreciate it when authors give out their texts for free, and I'm sure your students do as well!