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Perion

**[SOLVED] Sharipov's linear algebra textbook...**

Hi fellow Year-2005 vector space cadets,

Here's an interesting Linear Algebra textbook I stumbled upon this morning - Course of Linear Algebra and Multidimensional Geometry. It uses a fairly rigorous development style which I like (if done well). But, everyone has different tastes so maybe it'll make you puke. Whatever... Anyway, I just lightly scanned through the thing but spent some time studying the first chapter (and a few other msc. tid-bits) to see how well the material was presented. A few things I like:

1. He proves nearly every theorem in the book. For me, this is the best part since it makes for an interesting study of some of his strategies for structuring various proofs.

2. It's only 143 pages so, being concise, it's also interesting to see if he can develop the material smoothly and without resorting to using and abusing previously undefined concepts. The little bit that I studied, he did OK - did find a few no-nos though. I'm trying to imagine how well I could understand this book if it were my first exposure to Linear Algebra and without benefit of any professor's lectures. Hmmmm.... maybe it's not a very good Intro.

3. There's no "exercises left for the reader" to feel guilty about not doing . I know this is usually considered one of the most valuable parts of a textbook when properly designed but I have plenty of other L.A and Set Theory stuff with more exercises than I could do in a lifetime.

4. He doesn't begin the journey by treading the matrix/determinant path but rather uses the more mathematically rigorous set theoretical method. [i.e. non-math fanatics would probably toss it in the Recycle Bin pronto]

Ok - have a happy New Year! I'll bet right now there's a few of you who wish you'd done what I did a couple years ago - namely, quit drinking :tongue2:

Perion