Exterior Derivative - The Exterior Derivative in Calculus

The Exterior Derivative in Calculus

Most vector calculus operators are special cases of, or have close relationships to, the notion of exterior differentiation.

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    There was never yet an uninteresting life. Such a thing is an impossibility. Inside of the dullest exterior there is a drama, a comedy, and a tragedy.
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    Poor John Field!—I trust he does not read this, unless he will improve by it,—thinking to live by some derivative old-country mode in this primitive new country.... With his horizon all his own, yet he a poor man, born to be poor, with his inherited Irish poverty or poor life, his Adam’s grandmother and boggy ways, not to rise in this world, he nor his posterity, till their wading webbed bog-trotting feet get talaria to their heels.
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