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Feynman, The Feynman Lectures in Physics ( Addison-Wesley, Reading, Massachusetts, 1964), Vol. Obviously, if we as teachers make conflicting statements such as these, it is no wonder why students have difficulty properly understanding these topics.
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Purcell, Electricity and Magnetism, Berkeley Physics Course, Vol. Geometric explanations of divergence and curl are also presented in the excellent texts by E. Schey, div, grad, curl, and all that, an informal text on vector calculus, 3rd ed.