Books about vector spaces (advanced)

AI Thread Summary
The discussion centers on recommendations for advanced algebra books focused on vector spaces, specifically finite-dimensional spaces. A key suggestion is "Advanced Linear Algebra" by Roman, noted for its comprehensive coverage and high regard in the mathematics community. For those seeking a less advanced, undergraduate-level resource, "Linear Algebra Done Right" by Axler is recommended for its extensive treatment of vector spaces. The original poster, Ricardo Sousa, confirms interest specifically in finite-dimensional spaces.
GoodSpirit
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Hello everyone,

I’m looking for very good books of advanced algebra that have a lot of information about vector spaces algebra, in particular.

Would you suggest anyone?

Many thanks

Best regards
 
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Hey GoodSpirit.

You should probably mention whether you want finite or infinite-dimensional spaces since the theory regarding the two is different from one to the other.
 
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I really thank you both! :)

True Chiro, they are! I'm looking for finite-dimension spaces theory.

All the best

Ricardo Sousa
 

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