#693 in Science & math books
Reddit mentions of Finite-Dimensional Vector Spaces (Undergraduate Texts in Mathematics)
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Reddit mentions: 4
We found 4 Reddit mentions of Finite-Dimensional Vector Spaces (Undergraduate Texts in Mathematics). Here are the top ones.
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My favorite linear algebra text is Paul Halmos' Finite-Dimensional Vector Spaces. As far as textbooks go, it's cheap, and it's written very well. It does expect a certain amount of mathematical maturity (a familiarity with proof techniques).
Gilbert Strang's book, Linear Algebra and Its Applications might be better for someone looking into applied mathematics than Halmos'. He makes frequent references to applications and uses geometric arguments fairly liberally. It is 3 times the price of Halmos' text as well, but I'm sure your university library has a copy or two.
I agree with urish, that learning linear algebra fairly well, especially considering the fields that you're interested in.
Hope this helps.
Paul Halmos Finite Dimensional Vector Spaces.
Classic and still probably the best book on the subject.
http://www.amazon.com/Finite-Dimensional-Vector-Spaces-P-R-Halmos/dp/0387900934
Rosen's Modern Number Theory (hands down) for number theory and Halmos' Finite-Dimensional Vector Spaces for linear algebra. There are other texts available for linear algebra but Halmos is a pretty solid option.