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Re:Ask HN: Learning advanced math by anatoly on Sunday October 03, 2010 @05:06PM (#1753618)
For linear algebra, Sheldon Axler's _Linear Algebra Done Right_. For analysis, Stephen Abbott's _Understanding Analysis_.

These two books will give you a very solid grounding in the undergraduate linear algebra and analysis. Personally, I also worship the style of Baby Rudin (it's the nickname of his _The Principles of Mathematical Analysis_), but it can be too dry to many people.

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