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I am a same person who recently wrote a post here about seeking the good textbooks for linear algebra. I apologize for this interruption again but I was wondering if you could recommend me some good textbooks about multivariable/vector calculus (what is difference between multivariable calculus and vector calculus?). I will be taking both the theoretical linear algebra and multivariable calculus on next semester. My university uses its own etextbook for that multivariable calculus course, but it is very computational and does not care about the theory...Could you recommend me a book that has both the theories and applications of multivariable/vector calculus and also have a clear exposition and challenging problem sets? I heard quite a few textbook written by Serge Lang, Wendell Fleming, Richard Williamson, Thomas, Stewart, and Hubbard; I do not know the difficulty levels of those books....are they about the same level as Apostol's vol. II?

Sincerely,

MSK