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Jun 14, 2010 at 22:12 comment added Vladimir Dotsenko @Andrew - totally agree about "A Linear Algebra Problem Book" vs FDVS.
Jun 14, 2010 at 22:06 comment added The Mathemagician @Charles Halmos is a wonderful author and you made me realize the one book I should recommend to everyone thinking a career in math:I WANT TO BE A MATHEMATICIAN:AN AUTOMATHOGRAPHY. A MUST READ.To be honest,though-I think between the 2 texts on linear algebra he wrote;FINITE DIMENSIONAL VECTOR SPACES and A LINEAR ALGEBRA PROBLEM BOOK,the latter would be much easier and enjoyable for a beginner. FDVS is very hard and abstract.
Jun 14, 2010 at 21:53 comment added Charles Matthews Well, I learned linear algebra from a book by Halmos (also measure theory from another): I recovered from one book when I learned tensor products properly, and the Steinitz lemma; probably not from the other one! It is too hard to give solid recommendations. But now you can look up definitions online, it is important to have books with concepts and "loose ends" to research, not just definition-lemma-theorem-proof. Books with suggestive content.
Jun 14, 2010 at 21:36 comment added Max Lonysa Muller Thank you, mister Matthews. From the amazon-page I think I can say that Gower's book is more focussed on the ideas $behind$ mathematics and is a bit more philosophically inclined (which I don't mind)? I haven't tried Weyl's book (yet), but judging from the title I think I need some good basis in algebra (with which Serge Lang could provide me?)
Jun 14, 2010 at 21:21 history answered Charles Matthews CC BY-SA 2.5