Ebook Download | Serge A. Lang, "Linear Algebra" | It is the rare sort of book that makes an excellent introduction for the student and useful reference for the graduate, and that is why I recommend this book unreservedly. Its conciseness may leave some students adrift, but I think it serves to enhance the book's structural coherence. And while the given proofs are usually terse, I think that makes the book a wonderful way to measure one's prepardness for upper level studies. Linear algebra is the ideal subject with which to familiarize students with rigorous proof techniques because it has so many easily visualized yet useful examples. If one cannot understand Lang's proofs here, one is probably not ready to tackle an upper level course in, say, algebra or topology. This book therefore serves as a proving grounds, so to speak (and excuse the pun!), for one's mathematical ability. Survive the test and you'll probably do well in your upper level studies, otherwise you should practice some more and try again.
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