Need Help: Any good textbook in undergrad multi-variable analysis/calculus?

real-analysis analysis calculus reference-request multivariable-calculus

Solution 1:

I like C.H. Edwards, "Advanced Calculus of Several Variables." It's cheap and contains many exercises and examples.

Solution 2:

Spivak has a good book in multivariable calculus. Harvard, I think, uses Hubbard's Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach. Another book which is used is Shifrin's Multivariable Mathematics, which I believe Harvard uses as well.. For Shifrin's book at least, you can buy a solution manual online.

Solution 3:

http://www.math.harvard.edu/~shlomo/

Solution 4:

Here are some free options:

http://www.whitman.edu/mathematics/multivariable/

http://synechism.org/drupal/cfsv/

http://www.mecmath.net/

I maintain a catalog of free books at http://theassayer.org , and you could poke around there for further possibilities.

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