The best book for me was "Vector Calculus, Linear Algebra, and Differential Forms" by Hubbard and Hubbard. It is the only book (I know of) that brings you from absolute basics to an integrated development of the subjects from its title. And that integrated developments actually leads to a good didactic method. The search function will show you many comments on HN recommending it.
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Vector Calculus, Linear Algebra, and Differential Forms
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