Books about vector spaces (advanced)

[GoodSpirit]

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

 

[chiro]

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.

 

[micromass]

If you want advanced books, then you can't get any better than Roman: https://www.amazon.com/dp/1441924981/?tag=pfamazon01-20 This is one of the best math books out there!

Less advanced (that is: undergraduate level) is Axler. It contains tons on vector spaces: https://www.amazon.com/dp/0387982582/?tag=pfamazon01-20

 

[GoodSpirit]

I really thank you both! :)

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

All the best

Ricardo Sousa