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I know there are several threads asking for textbook recommendations, but I need something special: I am teaching myself math, and need a Linear Algebra textbook from which I can learn on my own. I really want to obtain a thorough math education, and I'm almost done with calculus (Stewart's), so I want to move on to the next important subject, which I'm guessing is Linear Algebra. I would like to eventually be able to understand quantum mechanics and relativity in full mathematical glory, although I'm also interested in econometrics and mathematical methods for economics. Is a standard Linear Algebra book the wisest choice, or could a more encompassing book that includes LA but also other subjects be the way to go? I want to know it all

What complicates making a selection is that, even though I'm learning on my own, I don't want some stripped-down book like Schaum's, but rather a thorough, rigorous text that will give me a deeper understanding of the subject and leave me prepared to go into more advanced subjects; but then again I also need it to have

Does such a beast exist? Thanks in advance!!

ps. I also need a good differential equations text

What complicates making a selection is that, even though I'm learning on my own, I don't want some stripped-down book like Schaum's, but rather a thorough, rigorous text that will give me a deeper understanding of the subject and leave me prepared to go into more advanced subjects; but then again I also need it to have

**lots**of exercises**with answers**, and that's what makes finding a good book difficult, since many "serious" texts do not bother to include**all**or most answers, not even when a study guide is offered. Probably what I'm asking for is linear algebra's equivalent of Stewart's calculus.Does such a beast exist? Thanks in advance!!

ps. I also need a good differential equations text

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