Book recommendation for vector calculus.

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For learning vector calculus, "Mathematical Methods for Physicists" by Arfken is noted as a solid reference but not ideal for concept comprehension. The Feynman Lectures are also recommended as a valuable resource. Another suggested book is "Div, Grad, Curl & All That," which effectively covers fundamental concepts and applications in physics. Additionally, a book by Joseph Coffin is mentioned, praised for its focus on applications and a comprehensive list of important formulas. These recommendations aim to provide a foundational understanding of vector calculus for physics students.
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Hello, I'm learning vector calculus in my physics class. We're using Mathematical methods for Physicists by Arfken, but I think it makes a better reference source than something to learn the concepts from. I've downloaded the Feynman lectures which seem to be pretty good so far, but I was wondering if there's another book that someone could recommend.. starting with the very basics. Thanks!
 
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I guess everyone must have taken courses which thoroughly explained the subject.
 
Div, Grad, Curl & All That covers that stuff, and was also written by a physicist, like a lot of good books on that stuff actually. joseph coffin also wrote a good one; the last third or so is all about applications to physics, and an appendix with a big list of all the important formulas
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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