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I am a math major, and currently studying vector calculus. Since I am feeling that I don't really learn it properly, I am going to re-learn it again in the summer.

I would like to improve both my theoretical and computational skills. I am also searching for a book that starts from the beginning to deal with differential forms, and a book not full with physical interpretations since I am poor at physics.

My background is two courses of linear algebra, single variable calculus, and multivariable calculus of real-valued function(from the limits function of several variables up to triple integrals).

After a long search, I am considering(at the moment) two books:

1. Multivariable mathematics by Shifrin.

2. Vector calculus, by Hubbard.

But not sure which is preferred(or neither of them).

Unfortunately, both contain linear algebra chapters which are not necessary for me.

I will be grateful to hear any suggestion/advice about that.

Thank you.