ATAR Notes: Forum

Uni Stuff => Science => Faculties => Mathematics => Topic started by: /0 on May 28, 2010, 05:41:43 pm

Title: can anyone recommend an analysis book
Post by: /0 on May 28, 2010, 05:41:43 pm
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
Title: Re: can anyone recommend an analysis book
Post by: 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
Title: Re: can anyone recommend an analysis book
Post by: /0 on May 29, 2010, 09:20:47 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

Do you have a proof of this theorem?

xD
Title: Re: can anyone recommend an analysis book
Post by: kamil9876 on May 29, 2010, 03:21:44 pm
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?

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.