Rigorous book for multivariable + vector calc?

khemix
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whats a good book to learn multivariable and vector calculus in a rigorous fashion, similar to spivak. id prefer the vector calculus to stick to R3 (ie stokes), ill save the n case for analysis.

apostol II looks like a good book, but its very expensive and i generally don't like apostol. any other books that give a linear algebra treatment?

and please don't recommend spivak manifolds or munkres. those are modern treatments. I am looking for classical.

(note: i would consider apostol II if i had the table of contents for 1st edition; i don't want to pay extra money for linear algebra which i already know)
 
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John Hubbard's Vector Calculus, Linear Algebra, and Differential Forms is outstanding. I recommend it highly.
 
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