Should I study Analysis before Linear Algebra?

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Reading a proofs book is not essential before studying linear algebra, as a solid introductory book on linear algebra with proofs can suffice. Many find linear algebra easier than analysis, although some analysis texts may require knowledge of linear algebra concepts like n-tuples and vector norms. Certain analysis books can be independent of linear algebra, focusing instead on single-variable calculus theory. Recommended resources include "Understanding Analysis" by Abbot for analysis and "Linear Algebra Done Right" by Axler for linear algebra. While reading a proofs book can be beneficial for those unfamiliar with proofs, it is not a strict requirement.
terrytosh
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Or is reading a proofs book enough
 
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No, you don't need to study analysis before linear algebra.

And if you get a good introductory book on LA (with proofs!) then there is no need to first read a "proofs book", either. In fact, I think such a book on LA would make for a good "proofs book" by itself.
 
terrytosh said:
Or is reading a proofs book enough
Linear Algebra, at least for me, was easier than analysis.

Depending on the analysis book you choose to study from. It may require a bit of background from linear algebra. Ie., what is an n-tuple , norm of a vector , and some other topics.

Or the analysis book can be independent of linear algebra. Ie., it is a review of single-variable calculus, but now you work through the theory of it.

A very good intro analysis book is Understanding Analysis by Abbot.
A good Linear Algebra (theory) is Linear Algebra Done Right by Axler.

You do not necessarily need to read a proofs book, but it does not hurt to read one. Especially if you are not familiar proofs.

A good proof method book is by Hammok. A pdf of the book can be legally downloaded.
 
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