can anyone recommend an analysis book

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Can anybody recommend a good metric spaces (most books I find only focus on the real number set) / analysis book that covers multivariable calculus? I don't think the notes do such a good job of it.
Specifically in the topics of:
- Contraction mapping
- Inverse function theorem
- Differentiation and Differential Equations
It seems that some of the problems we've gotten require lots of linear algebra, I still need to figure out how that fits into multivar calc
thanks

[Mao]

I can't recommend a good book, but I can tell you that the number of replies varies inversely with the obscurity of the topic. =P

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I can't recommend a good book, but I can tell you that the number of replies varies inversely with the obscurity of the topic. =P

Do you have a proof of this theorem?

xD

[kamil9876]

Can anybody recommend a good metric spaces (most books I find only focus on the real number set) / analysis book that covers multivariable calculus?

A book that covers all of these (except for differentiatial equations) is "Real Mathematical Analysis" by Charles Chapman Pugh. Apart from maybe Walter Rudin and Tom Apostol I don't know too many books that would cover all of these in one.

I can't recommend a good book, but I can tell you that the number of replies varies inversely with the obscurity of the topic. =P

Do you have a proof of this theorem?

xD

More important is...

Corollary: Try a different forum too.