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can anyone recommend an analysis book

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/0:
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

/0:

--- Quote from: Mao on May 29, 2010, 02:43:53 am ---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

--- End quote ---

Do you have a proof of this theorem?

xD

kamil9876:

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

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.
--- Quote from: /0 on May 29, 2010, 09:20:47 am ---
--- Quote from: Mao on May 29, 2010, 02:43:53 am ---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

--- End quote ---

Do you have a proof of this theorem?

xD

--- End quote ---

More important is...

Corollary: Try a different forum too.

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