Good Book for Advanced Calculus

[Tom Maloney]

Try Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (http://matrixeditions.com/UnifiedApproach4th.html); it's used in the honors calculus sequence at Cornell and written by the professor who teaches it.

 

[bigbadwolf]

Try Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (http://matrixeditions.com/UnifiedApproach4th.html); it's used in the honors calculus sequence at Cornell and written by the professor who teaches it.

A fine book, but like the one by Janich, written for pure math types. The moment you talk about differential 1-forms -- which live in the cotangent space and act as linear functionals on tangent vectors -- you're going to lose just about everyone who isn't a pure mathematician.

 

[vincegata]

vincegata :: you make no sense with your statement; calculus is a subset of analysis.

and Analysis is a subset of Mathematics...

There lies your ignorance. Adv Calc and Analysis are at a different level, clearly OP was not asking for Analysis book. I bet you cannot tell the difference what Adv Calc and Analysis cover.

 

[D C]

vincegata :: *sigh* this really depends on how a school defines them, so your make a really moot point

You're right though, the OP probably doesn't want to read Rudin - you should really watch what you post though, the link you posted earlier which states:

It's been discussed before:

http://www.quantnet.com/forum/threa...n-on-advanced-calculus-books.1865/#post-19170

has a reference to Rudin as well. And you have officially wasted 1 minute of my life.

 

[vincegata]

vincegata :: *sigh* this really depends on how a school defines them, so your make a really moot point

That does not depend on how a school defines them, these subjects are universally and well defined. I told you, you would not tell the difference. Open Adv Calc by Kaplan and Analysis by Rudin and you'll see the difference. I am not going to read this thread anymore fyi.