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 dont like apostol. any other books that give a linear algebra treatment? and please dont reccommend spivak manifolds or munkres. those are modern treatments. im looking for classical. (note: i would consider apostol II if i had the table of contents for 1st edition; i dont want to pay extra money for linear algebra which i already know)
John Hubbard's Vector Calculus, Linear Algebra, and Differential Forms is outstanding. I recommend it highly.